The Barge Problem For This Week

Problem 6

Submission Deadlines

Hardcopy submissions to Professor Yuster in Pardee 234 by 4 p.m. Friday, April 11

Electronic submissions to yustert@lafayettte.edu by 6 a.m. Saturday, April 12

If n is a positive integer, define S(n) as the sum of all of the positive integer divisors of n. So for example, S(16) = 1 + 2 + 4 + 8 + 16 = 31. Now suppose n is an integer such that n + 1 is divisible by 24. Prove that S(n) is also divisible by 24.