+537 The product of the proper positive integer factors of n can be written as n^[(ax+b)/c], where x is the number of positive divisors n has, c is a positive integer, and the greatest common factor of the three integers a, b, and c is 1. What is a+b+c?
n =110 = 2 x 5 x 11
a=2, b=5, c=11
110^((3*2 + 5)/11)=110^(11/11)=110
GCD [2, 5, 11] =1
a + b + c =2 + 5 + 11 = 18
Note: With 2 as the first factor, many n will meet the restrictions given in the question.
Examples: 2, 7, 13 =182, 2, 11, 17 =374, 2, 13, 19 =494, 2, 17, 23 =782, 2, 23, 29 =1,334......etc.
