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# Number Theory Help Needed ASAP

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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

Mar 1, 2021

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Mar 1, 2021
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a + b + c = 2 + 3 + 2 = 7.

Mar 1, 2021
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Doggo  Mar 3, 2021
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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.

Mar 3, 2021
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It is clear you have rebirthed yourself Doggo,  or is that  xXxTenTacion  ?

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.

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

Mar 3, 2021