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If we let \(f(n)\) denote the sum of all the positive divisors of the integer \(n\), how many integers \(i\) exist such that \(1  and  \(f(i)=1+\sqrt{i}+i\)?

 

Please help!!

 Feb 13, 2021
 #1
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Sorry, something was messed up. I meant \(1  instead of \(1.

 Feb 13, 2021
 #2
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It seems like it's not letting me use LaTeX. What it's supposed to say is:

 

1 < i < 2010

 Feb 13, 2021
 #3
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There are 25 integers that work.

 Feb 13, 2021
 #4
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That answer is incorrect. The correct answer is 14.

 Feb 14, 2021

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