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 \(a+b+c\)?
