Problem of the Week 1033

Some Factorial Sum Fact

Prove that for each n = 3, 4, 5... that n! is the sum of n distinct divisors of n!.

This is a Polish Olympiad Problem, and is from the book Mathematical Miniatures by Savchev and Andreescu.

© Copyright 2005 Stan Wagon. Reproduced with permission.

12 April 2005