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Math Help - Sum of positive divisors function

  1. #1
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    Sum of positive divisors function

    Let k be in Z and k>0. Prove that the equation sum of positive divisors function(n)=k has at most finitely many solutions.
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  2. #2
    Senior Member Tinyboss's Avatar
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    Well, for any integer n, the sum of the positive divisors of n is at least n+1.
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  3. #3
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by Tinyboss View Post
    Well, for any integer n, the sum of the positive divisors of n is at least n+1.
    The sum of positive divisors(n)  \leq 1+2+\cdot\cdot\cdot +n = \frac{n(n+1)}{2} .

    NEVERMIND, IGNORE THIS POST I READ THE QUESTION WRONG
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    No one knows this one? I am still having trouble with it.
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  5. #5
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by meshel88 View Post
    No one knows this one? I am still having trouble with it.
    Tinyboss answered this pretty well.
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