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# If we let denote the sum of all the positive divisors of the integer , how many integers exist such that and ?

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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$$?

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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