Prove ( 2^385 - 1) ≡ 0 (mod 2047)

Showing that 2^385 - 1 = 2047m where m is in the octrigintillion range(related to the phrase "Spike Field Hazard")!
The prime factorization of the exponent 385=5x7x11 allowed us to write 2^385 = (2^11)^385. This is important since (2^11 - 1) = 2047 appeared in the algebraic factorization.