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What is the sum of all positive integer values of $n$ such that $\frac{n+18}{n}$ is an integer

 Jul 28, 2023
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Note that the fraction can be expressed as \(1+\frac{18}n\), so $n$ must be a factor of \(18\). The sum of all factors of \(18\) is \(\boxed{39}\). 

 Jul 28, 2023

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