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 \(a+b+c\)?

Any help is greatly appreciated!

–Doggo

Doggo Mar 1, 2021

#4**+1 **

**It is highly likely that I do not understand the question properly.**

BUT

If n=1

then x=1

\(1=1^\frac{a*1+b}{c}\\ 1=1^\frac{a+b}{c}\\ \)

If a=1, b=2 and c=3 (they are all relatively prime.)

Then a+b+c=6

You are not going to get any positive numbers smaller than those.

Melody Mar 3, 2021

#5**0 **

It is clear you have rebirthed yourself Doggo, or is that xXxTenTacion ?

It appears at least some of your bad habits are continuing.

When you vote people down for no good reason, you are not invisible to all. I can see what you get up to.

I strongly suggest that you behave better in this regard.

I can see that your new persona is answering some questions, at a glance they appear to be proper answers.

That is commendable.

I strongly suggest that you continue your good behaviours and lose your bad ones.

Why would you want to make a bad impression (again) ?

Melody Mar 3, 2021