I know $\sigma(n)$ might greater than $n$, but why $\sqrt{n}$ related in this problem? Anyone can give me a hint?
2026-03-28 22:28:05.1774736885
If n > 1 is a composite number, then $\sigma(n) > n+\sqrt{n} $
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If $n=ab$, then one of $a,b$ is $\ge\sqrt n$