If a(n) =kn, where k ::=::: 3, then the positive integer n is called a k-perfect
Chapter 11, Problem 9(choose chapter or problem)
If a(n) =kn, where k ::=::: 3, then the positive integer n is called a k-perfect number(sometimes, multiply perfect). Establish the following assertions concerning k-perfectnumbers:(a) 523776 = 29 3 11 31 is 3-perfect.30240 = 25 33 5 7 is 4-perfect.14182439040 = 27 34 5 7 112 17 19 is 5-perfect.(b) If n is a 3-perfect number and 3 l n, then 3n is 4-perfect.(c) If n is a 5-perfect number and 5 l n, then 5n is 6-perfect.(d) If 3n is a 4k-perfect number and 3 J n, then n is 3k-perfect.For each k, it is conjectured that there are only finitely many k-perfect numbers. Thelargest one discovered has 558 digits and is 9-perfect.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer