Under what conditions is the number 2n
*p an abundant
number? Where n is a positive integer and p is prime.
How about 3n*p?
How about 2*pn?
Recall an abundant number is one whose proper factors sum to more than the number. For example 18 is abundant because 1+2+3+6+9 > 18.
(In reply to proposed solution
In sum: 2^n * p is abundant unless p=2 or n = 1.
p=7, n=2 yields 28 which is perfect, not abundant
Posted by Jer
on 2015-10-28 11:14:06