Let's say $\sigma _{1}(n)\mid \sigma _{2}(n)$. Can we say, therefore $n$ has to be a perfect square? How to show that?
2026-03-29 23:48:15.1774828095
If $\sigma _{1}(n)\mid \sigma _{2}(n)$, does $n$ has to be a perfect square?
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no
Here are the nonsquares up to 2000 that work. They do tend to have large square factors.