MegaFavNumbers - superior highly composite numbers and roundness
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- Опубликовано: 15 сен 2024
- this is my contribution to the #MegaFavNumbers crossover event within math youtube. for those of you who are subscribed for my language videos, don't worry, Conlang Critic: Viossa is on its way.
check out the MegaFavNumbers playlist: • MegaFavNumbers
/ hbmmaster
conlangcritic.b...
seximal.net
/ hbmmaster
/ janmisali
Thanks for joining in!
So it counts?
the man the myth the legend
@@blackshirts_and_breads the one and only banana
@@anselmschueler no one said it had to be base 10
Bad Google But they clearly said it had to be bigger than 1 million, so it doesn’t matter the base.
choosing 1 million as a lower bound meant that they had a reason to put "mega" in the hash tag. qed
Wait, how does this relate to quantum electrodynamics?
alan smithee QED also stands for _quod erat demonstrandum_, a Latin phrase meaning “which had to be demonstrated.” It is customary to write QED after completing a proof.
@@DragonWinter36 no it's not. ive never seen anyone do that
@@juneguts well just because u never seen something like that doesnt mean it is wrong/ not the truth bro, like that is what QED is
@@juneguts I mean, it definitely is. Your personal awareness of something is not what makes it real
Inviting themselves to a party and starting to rant about base 6 feels like an incredibly jan Misali thing to do.
also exactly the type of person who should make a video about megafavnumbers
It really does
Misali Coming Out Of His Well To Shame Decimalists
666 likes...
@@darcy6698 What's so special about 3030?
"is this cheating? yes
do I care? immensely"
*lmao*
caught me completely off guard
“Is this cheating? Yes. Do I care? Immensely.”
Good morals are the reason I come to this conlang channel for math videos
a million is the largest number not valid for selection as a mega favourite number
obviously.
Perhaps Jan should have been investigating the properties of 1,000,001 instead, since that was the actual bottom limit.
@@pentelegomenon1175 1,000,001: the smallest number allowed in MFN
😂
i go to the cash register to pay for my groceries, but jan misali manifests from the change drawer to tell me my decimal bills are not only worthless, but disgusting. i pay with a nif dollar bill, urge the cashier not to bother with change, and continue on my way.
robdoghotdog Unbeknownst to the cashier, you underpaid, and are snickering as you walk away
Sorry but what is nif here?
nevermind, kept watching
J1428753 I think it's 36? He has a whole system for naming things base 6, he made a video on it
then the cashier tells you to use dozenal next time
I enjoy the point of the video where I don't understand what he's saying and honestly I just hear sounds coming out of his mouth, but when he says it there's a smile on his face and that makes me happy.
did you try watching his bases video?
you can tell he's smiling:))
these videos bring me joy
This is common stuff for this channel
Drive A Sandwich I understood that video way more than this one
he's counting in seximal i think
You thought it was a number over a million, but it was I, BASE 6!
@@sacha7958 But it's bigger than 1000000 (in base 6).
Is this a fukin' JoJo reference under a math video!?
@@dmitriivlasov3728 Why yes it is.
@@dmitriivlasov3728 jojo is everywhere.
@@pie6029 But you don't expect it under a math video, do you?
Petition to have jan be invited to all future RUclips math parties.
It would be a shame if this level of deadpan was missing from my favorite community
Imagine some day he shows up on Numberphile
for real some of if not my absolute favourite math content is from him
true. RUclips math parties are typically no fun without people
Buts its way funnier if he just Shows Up
@@gabotron94thoughty6
Learning why base 720720 is "icosifetabakerheptelevenary" is some deep jan Misali lore and I'm here for it.
I can’t- “Jan Misali lore”
check out the video "a base-neutral system for naming numbering systems"
@@yuvalne i did, actually. in hindsight, i think the comment should have been on that video.
I love Jan misali just hijacking a RUclips event he wasn’t invited to and then spending half the time nitpicking it and doing random math
I'm pretty sure it's an open event that anyone can participate in.
@@seabassthegamer6644 those who were invited released their video at the same time and at the end of each of their video they encourage everyone to create their own video with the hashtag
Arguing about bases is such a mathematician thing to do.
50%: "Why I like 720720."
50%: Try to explain away the cheating.
Did anyone specify that they meant one million in decimal? The trend was made up randomly for no reason at all so interpreting it as any random base for no reason at all is wholly acceptable.
@@davidbledsoe7592 ISP: "Did anyone specify that we meant megabits in decimal?" hmmmmm... sounds like a good excuse.🤣
funny you'd mention megabits, since that's one of the contexts where what base you mean with mega- actually can be ambiguous
jan Misali Math vernacular is democratic fight me
@@davidbledsoe7592 Yes, by using the word "one million." Also "mega," though that can also mean 1,048,576.
I suppose that is what you would call a Parker Mega Number. Highly appropriate for a playlist started by Matt Parker.
LOL "parker mega number"
NUMBER GET BIG BRAIN RELEASE THE GOOD CHEMICALS
You can practically hear the smile when he talks.
I enjoy your profile and banner so much I subscribed
@@zane49er51 Haha, thanks I guess. :)
@Graystripe Haha, yes, that’s me. You are?
@Graystripe Yes, we probably have similar tastes
showed up for the conlang reviews, stayed for the nerdass mathematics
Who else is hyped for the Quenya episode coming up?
Who isn’t?
@@blackbolt3066 what sample size are we using here? Humanity? The local sol system? The galaxy? The galactic supercluster?
Cause everyone in the galactic supercluster be waiting on baited breath afaik
Water We’re talkin multidimensional googleplexes my G.
@@el.k9776 What list?
@@globalincident694 The "small list" for upcoming Conlang Critic episodes
How is this channel so perfect?
I think it's just that it beautifully represents a sort of ideal form of what RUclips can be, just a person making great content about random stuff he's interested, nothing corporate about it.
@@destinyvoltaire Bill Wurtz *is* that ideal
do you play drms?
This. jan Misali is literally god tier, there's just something about the authenticity of these videos. He just uploads whatever the fuck he feels like, whether it'd be math, linguistics, game analysis or just literal fucking shitposts which make no sense to anyone. It's perfect!
It's jan Misali, here's my tier list:
Low tier: Xidnaf (He doesn't upload)
Moderate tier: Langfocus (Good but not great)
Hier tier: Ewa (Great)
God tier: Artefexian (Epic, but not that epic)
Tier 1: Biblaridion (THAT epic)
Tier 0: jM (Secret)
It's so refreshing when anyone points out that even though we only have 8+2 fingers, decimal is not the only base that exists❤ I'm glad this video was recommended, you seem awesome and all your viewers love you and I'm probably going to love you too
A questionably niche video by jan misali with a slight math focus?
Friday is gud.
Of course, you're gonna use seximal system lmfao!
Another way to think about the 1,000,000 OEIS fact: say you have 36 equally spaced points on a circle. You want to select some of them so that their center of mass is the center of the circle. How many ways can you do it?
Numberphile made a video on this, phrasing it in terms of centrifuges, if I remember right. If you spin a centrifuge whose center of mass is off-center, bad things happen (it breaks probably?). Your centrifuge has 36 slots around its edge. How many ways can you fill them in? (This phrasing also makes it easier to explain why we count the empty configuration - otherwise, I'm pretty sure you only get 999,999.)
Math channels : Wait, that's illegal
jan Misali : *chad Nordic gamer* Yes.
You should make your sign-off be "anyway that's it, I don't have a sign-off" in that casual, defeated tone of voice
My sign-off is every sign-off not used in a RUclips video.
I spent the whole time wondering how you were going to declare that 720720 is technically above 1000000 and was not disappointed
720720 is the closest thing I have to a favorite whole number, but it's because it's the smallest number divisible by every number up to and including 16.
And it looks nice in base 10, I can't help it.
I subscribed after watching your video on regular polyhedra, which was so well made that I for one consider you a valuable contributor to the RUclips math community.
Why one million?
Because "megafavnumber" is a better name than any other potential prefix, say, kilofavnumber, or gigafavnumber.
It's just nice, and "mega" is often used colloquially to just mean "big," so it's something everyone hears more than the other prefixes.
you've got it backways, the name of the event didn't come first
@@HBMmaster fair enough.
@@HBMmaster
What event? Matt Parker wanted to know everyone's MegaFavNumbers, and choose 1 million because 1 MEGA[something] is 10^6 of [something].
@@kindlin you got the causality backwards
@@HBMmaster hey at least he didn't break causality, that would doom us all.
Oh my god he actually got into the playlist
WHAT A GOD
never thought the language nerd would make it into the maths playlist
I'm proud of Jan Misali for branching out into esoteric and niche mathematics. I don't know if you guys know, but he can't review conlangs forever. I enjoy this content AND Conlang Critic. Let's hope more interesting topics will come to him! Tenpo suno ni o pona tawa sina!
hey Dominic what the hell does "today, you should fix yourself!" mean in this context /lh
@@BrightyLighty_ bro idk its been a year, could not tell you the context
The best consistency I’ve ever witnessed.
why was this in my recommended it was just posted
oh i'm subscribed
Hes the hangman guy (im guess thats where you came from?)
@@blze and because it's a great shitpost that is too smart too understand xD
Also who doesn't like shitposts?
"Is this cheating? Yes. Do I care? Immensely-"
It may just be because I've accidentally found myself staying up to 5am but that 'immensely' made me laugh the hardest I have in months.
this, idk why it kills me
"It's in seximal" just completely caught me offguard and I love it.
"Isn't that a little . . . decimal-centric?" #staywoke
"Threeven?" Wait, are *you* on that dozenal subreddit?
no
jan Misali oh ok bc someone on there proposed the word “threeven.”
How dare you accuse him of heresy?
@@RyanTosh Ikr, dozenal is TRASH
Third to both Seximal and "Longsimal"
@@palatasikuntheyoutubecomme2046 Google isn't telling me what longsimal is.
What they don't tell you is that 1000000 is really just 64. :)
"Highly composite"
Me, a numberphile: anti-primes
Do you feel like now that your recent video essays have gotten more engagement and you've gotten a successful format that you'll ever become a "weird video essay" channel or a "weird math" channel?
Lol, he's made a hard pivot into Rhythm Heaven content so I guess that solved that question!
The last time I was this early, base 60 was _super_ in-vogue.
tenpo kama la sina jan pi nansi nanpa. sina ken ala pini ni.
you are now a math person. you cannot stop this.
This is my first time on your channel, and I've no idea if I'll be back, but I loved every second of that.
I found your channel last week and I’m practically in love with it: you speak about languages, you speak of music and now math? What is the next? Games? Movies? Anyway, I really like to be one of your subscribers.
Games? He has a vid on hangman and mario
I wasn't expecting seximal to be brought back in such an integral way in another video, but I'm not disappointed it made an appearance.
Hearing Misali rattle off numbers in non-decimal bases just puts a smile on my face even if I don't understand a damn bit of what he said. (Yes, I understand bases, just not the language.)
we got baited so hard
i would've thought 1 million is the bound for the #megafavnumber because "mega favourite" is a colloquialism that people recognise and mega is the mathematical notion with well defined meaning for 10 to the 6.
So its a double entendre thus making it easier to remember and more fun
Imagine calling anti-primes “highly composite numbers”P
The way you use "decimal centric" and decide that your number is in seximal is so perfect
Nice to see someone who also knows the magic of 720,720. It's my favorite number to because it just so happened to appear on my magic system.
> Not following simple instructions
> Not calling antiprimes "antiprimes"
You sicken me.
Um, wow, anglophone much?
@@shinydino Pardon?
can't say i didn't see that coming
Alternative solution: axiomatically define 720,720 as greater than 1,000,000.
"We might have to find a bigger name than 'super rectangle.'"
-Twelve
In Britain, a pound was worth 240 pence until 1971. The reason is because 240 is highly composite, and Brits were deeply familiar with the factors of 240 for that reason, which is the same reason that anyone who uses dollars is deeply familiar with the idea that a dollar contains 20 nickels and 4 quarters. There was clear usefulness to it.
but the weird part is, the subdivision was icosidozenal (20-on-12) instead of dozavigesimal (12-on-20)
actually wait that makes sense because pennies could actually buy things
What could a penny buy? THIS PENNY IS LITERALLY 1/240 OF A POUND, HOW COULD YOU USE IT? Death To Pennies. (CGP reference)
Missed the chance at 4:29 to say "720,720 is a great number, but it still isn't greater than a million."
my favorite number over 1 million is 1,001,672 because one time when i was a little kid i was trying to think of a "random" number and said "one million thousand six hundred seventy two!" i was later informed that a million thousand was not the same as one million one thousand, but i intended the latter. even now it's my go-to silly big number
"Is there anything special about the number one million that doesn't rely on the way it's represented in base ten?"
My sibling in antiprimes, it's literally in the name. MEGA fav numbers.
For once I’m not 42 years late
In what base, though?
Presumably the choice of one million was just completely arbitrary, and english has an easier way to say "one million" than it does "9^6", at least in spoken form
I mean, language is fluid and stuff so you can just make up a way, which Mitchell has done: six biexians
@@driveasandwich6734 You can, but for the purposes of this alone that would be inefficient since presumably you'd also have to explain what "six biexians" meant in the first place
"Mega" is the SI prefix denoting one million. A megametre is a million metres.
@@JimCullen yeah
Mega is the metric prefix for 1,000,000, so that's probably why
Well now we’ve got an explanation for the icosifetabakerheptelevenary name from his new video.
Thank you so much for these math videos. They're well told, extremely well paced, while still containing interesting information to a certain depth. I personally enjoy them more than most of your linguistics videos, but I might just be more interested in obscure mathematics, compared to obscure lingustics.
Don't worry, jan, I consider you a member of the black-background-video-format-Tubers because they are a dying breed that is worth reviving for the sheer simplicity.
Also, while I'm on topic, my fave number over 10^6 is probably gonna be 10^12 not because of any particular maths, but because of Chinese characters, specifically the character 兆 (zhào), and its history. See, there used to be an obscure debate over the definition of this character's numerical value (it has multiple meanings depending on context) during the era when the Communist and the Nationalist Parties split between mainland China and Taiwan. While there were many kinds of casualties, one of them was a strict definition of this character. To this day, in China the character is defined to be a "million," while in Taiwan, who was prone to following certain Japanese traditions due to their strong allied affiliation with Japan at the time, has defined it as a "trillion."
I grew up in America, but most of my Chinese teachers here were from Taiwan, so they adhered to said system. So, when I'd later come to read texts from mainland China (outside of my studies with them because there was still this strange stigma around using mainland Chinese texts back in the 90s for reasons I can't comprehend) that used this character as a number, it'd usually throw me into a tizzy when I'd translate the numbers wrong, especially in regards to the alleged counts of army rations during certain ancient historic wartime stories. There's a huge difference between several "millions" of kg of grain and several "trillions" of kg of grain, and it subtly skewed the direction of people's motives if the translation was wrong. (Then again, usually those numbers came into play talking about how much the peasants lost during wartime, rather than what they demanded after loss.) While I'd easily be able to correct for context, it always stuck around in my head that this character had undergone such a strange transition in history.
That aside, 兆 is generally not specifically defined as a numerical value and can simply be described as "a myriad"... On that note, the word "myriad" also has an interesting history to look into, but that's a whole 'nother story.
“icosifetabakerheptelevenary” hits different after your latest vid
The dislikes are from the people who dont like base 6
@Mediocrity I see, was it specified it needed to be base 10?
@Mediocrity I mean yeah but he's also not a maths RUclipsr and wasn't invited to participate, so it's not like he has any obligation to do it properly ¯\_(ツ)_/¯
@@amydurham5606 what this guy said as well
@@watergrowsifwatered8048 what this guy said as well
You disliked the video because you think that he didn’t fit it under an extremely vague interpretation that has been narrowed by you?
jan misali: that is so decimal centric
me: that is so integer centric
Me: that is so real-centric
The absolute best thing about this video, by far, is talking about how strange it is that 1,000,000 is the cutoff point for two minutes and then finally going "My favorite is 720,720"
This channel is like my Diet Vsauce
Thank you for participating.
I'm trying to figure out the naming convention for the bases at 4:12.
I've managed to figure out that the number of the base is decomposed into it's prime factors. Those factors are then grouped to produce different prefixes and infixes in the name. Each group has one form for the prefix and another, unrelated form for when it is the last root in the name.
What I can't figure out, however is how the prime factors are grouped, as the grouping seems arbitrary. Also, I can't find an explanation for the order in which the prefixes are ordered.
Examples:
...
420: icosi-tri-septimal = 20×3×7
840: icosi-hexa-septimal = 20×6×7
2520: feta-heptagesimal = 36×70
27720: deca-leva-hepta-niftimal = 10×11×7×36
55440: lev-icosi-hepta-niftimal = 11×20×7×36
83160: hepta-feta-leva-penta-seximal = 7×36×11×5×6
110880: leva-tetra-hepta-deca-niftimal = 11×4×7×10×36
138600: deca-feta-leva-penta-septimal = 10×11×36×5×7
...
720720: icosi-feta-baker-hept-elevenary = 20×36×13×7×11
If anyone can find the way the prime factors are grouped and the way the prefixes are ordered, please do.
while I do have an explanation of my system, I think it might be more fun if you try to figure out more of it before getting the answer. here's a link to a list of the first unexian (6^4) base names, with a link on top to the explanation of the system once you think you've figured it out. it explains everything, except for the abbreviations and the details of what order roots go in, which also happen to be the most complicated parts of the system. have fun! www.seximal.net/a-bunch-of-base-names
9 months later: the ordering and grouping is because it's 720*1001 = (20*36)(13*77) = 20*36*13*(7*11), and it doesn't break down into the even closer 840*858 (tetraheptapentahexabibakertrielevenary?) because that involves more pieces (heptagesimal is counted as two pieces because it's hepta-gesimal but vigesimal is only one)
To be fair, you have to have a very high IQ to understand Jan Mesali.
The humour is extremely subtle, and without a solid grasp of Lingistics
most of the jokes will go over a typical viewer’s head.
The fans that understand this stuff; they have the intellectual capacity to truly appreciate the depths of these jokes, to realise that they’re not just funny- they say something deep about LIFE.
As a consequence people who dislike Jan Mesali truly ARE idiots I’m smirking right now just imagining one of those "cute" frauds scratching their heads in confusion as Jan Misali’s genius wit unfolds itself on their computer screens. What fools.. how I pity them. 😂
And yes, by the way, i DO have a Jan Misali tattoo. And no, you cannot see it. It’s for the ladies’ eyes only- and even then they have to demonstrate that they’re within 5 IQ points of my own (preferably lower) beforehand. Nothin personnel kid 😎
funny pickle man meme
"funniest shit I ever saw" cit.
Replace addlepated simpletons with cute frauds and this would be perfect
3:03 This is a great example of math jargon that's basically word salad when you say it but makes easy sense written in terms.
Hey, just wanted to say that my love of maths and science is purely because of videos like this, the properties of just 1 number is interesting enough and there are an infinite amount just like this. Also, great job with the video, really captivating and entertaining. This is fun!
for "reasons"? Well now we know those reasons!
I love how you say seximal numbers
Definitely appreciate all the math content! I'm into both math and linguistics & never would've found this channel if not for the polyhedra video
I've been here since well before your seximal video, and am also subscribed to a bunch of maths RUclipsrs, so I at least appreciated this.
MegaFavNumbers sets a million as the starting point because Mega is the prefix for 10^6: 1,000,000.
You know what, Jan Misali I like your twist
What makes this better is that your placement in the playlist is video number 140 (or 60, in decimal), which is another SHCN!
I just checked the playlist and you are in it! Congratulations
I understand none of this, yet hear I am, watching esoteric math content
I just came here for hangman, now I'm here
i was so excited when they put that slide up about roots of 1 and de moivre numbers up because i actually had learned about those. yes it was 4 years ago, yes i don’t really remember how to do it, but i remembered!
"Is this cheating? Yes."
Classic
How satisfying to have so many divisors, it’s like a very friendly number
As a math person following the whole video series, I am just glad it got people to talk about math. I don't think we care about whether or not it conforms as much as that ots a number you like.
Thanks for the video
Can't miss an upload by my favorite new math youtuber
4:16 Well, following jan Misali's video about the orthography and terminology of base numbering systems, the correct way to say base 720, 720 could be icosifetaheptalevaker's dozenal, but he himself stated that the factors' prefixes must be in increasing order, therefore making the name of base 720, 720 as heptalevaker's dozenicosiniftimal. Either jan Misali doesn't like the way it's pronounced or spelled, or he's just being inconsistent (a rare sight!)
oh, the prefixes don't have to be in strictly increasing order, you pick the two closest factors and put THOSE in increasing order. icosifetabakerheptelevenary parses as icosifeta-bakerheptelevenary, 720 times 1001, and bakerheptelevenary parses as baker-heptelevenary, 13 times 77
Oh ok thanks for the correction!
I bet your search history would be an interesting read on its own
This is the content I subscribed for. Obscurity surrounded by critiques of conlangs
I don't really care for conlangs, but your math videos are really entertaining, thank you for your work :)
Coming back to this after two years, I'm now way more interested in the linguistic stuff, and this has become one of my favorite channels period :D
I came for the conlangs but I stayed for the mathlangs.
I love the topic of highly divisible numbers. What I like about 720,720 is that it's the first superior highly composite number n for which n + 1 and n - 1 both have more than one distinct prime divisor.
I'm especially fond of the superior highly composite numbers 6 and 120. They are both only one off from being divisible by the next two prime numbers that don't divide it (e.g., 120 is only one off from dividing 7 and 11). This makes them extremely useful numbers to use as a base (and I'm glad you like base six). There's only one other number as far as I know with this property which is 2,248,776,129,600, being one less than a multiple of 29 and 31, which are the smallest primes not dividing it.
Well, the reason that it’s 1,000,000 specifically for MegaFavNumbers is because the prefix mega indicates “million” units. 720,720 can be your KiloFavNumber though
really? kilo? 720720 is much closer to a million than it is to a thousand
@@HBMmaster FetaGrandFavNumber, perhaps? That’ll get you a bit closer
@@HBMmaster Just define 720720 as greater than 1 mil lol
Love the vids man! Keep em flowing!
Btw are you dutch? Your name sounds very Dutch.
It’s Toki Pona
It means "person Mitch" in Toki Pona
Yeah it's Dutch
It's actually Unexian, not Dutch. I can see how you might have thought that though
Kevin Lopez Unexian is his name for 1296 = 6^4. The language is Toki Pona
I don't think the point was it has to be bigger than a million. The point was it has to be a really big number.
I do love 720,720 and I'm glad someone found a way to sneakily get it into the #MegaFavNumbers list
I think to keep the spirit of the question you should have used numbers greater than a biexian, not numbers greater than nif unexian. I mean come on, what sort of number is nif unexian anyway? Sure, itʼs a power of six, but it isnʼt a particularly large one and it doesnʼt get its own prefix like biti- or anything, and relatedly when you do digit grouping itʼs one and a half groups, which isnʼt an integer.
So I think you should have gone with two biexian thirsy-two nif foursy unexian foursy nif (2 3240 4000₆) for your number.