# Problem 241: Perfection Quotients
For a positive integer n, let σ(n) be the sum of all divisors of n, so
e.g. σ(6) = 1 + 2 + 3 + 6 = 12. A perfect number, as you probably know,
is a number with σ(n) = 2n. Let us define the perfection quotient of a
positive integer asp(n)=  σ(n)n . Find the sum of all positive integers
n ≤ 1018 for which p(n) has the form k + 1⁄2, where k is an integer.