Determine whether a given number is a Hyperperfect Number
Given a number, determine whether it is a valid Hyperperfect Number. A number n is called k-hyperperfect if: n = 1 + k ?idi where all di are the proper divisors of n. Taking k = 1 will give us perfect numbers. The first few k-hyperperfect numbers are 6, 21, 28, 301, 325, 496, 697, ... with the corre