Putnam 1976 B6
Source:
April 20, 2022
college contests
Problem Statement
As usual, let denote the sum of all the (positive integral) divisors of (Included among these divisors are and itself.) For example, if is a prime, then Motivated by the notion of a "perfect" number, a positive integer is called "quasiperfect" if Prove that every quasiperfect number is the square of an odd integer.