# Math Help - Sum of positive divisors function

1. ## 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.

2. Well, for any integer n, the sum of the positive divisors of n is at least n+1.

3. Originally Posted by Tinyboss
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

4. No one knows this one? I am still having trouble with it.

5. Originally Posted by meshel88
No one knows this one? I am still having trouble with it.