An integer n is called k-perfect if σ(n) = kn (note that a perfect number
(a) Show that 120 = 23? ? ? 3 ? ? ? 5 is 3-perfect.
(b) Show that if n is 3-perfect and gcd(3, n) = 1, then 3n is 4-perfect.
Perfect numbers are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.