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Answer by sirous for Find the number of $x$ such that $\sigma_1(x)=n$, $n$ is...

Comment: I use some results in my answer to this question(question /3597960/equation $\sigma(n)=\sigma(n+1)$) by Peter. For example numbers $x=33, 35, 47$ have $\sigma(x)=48$ and we have $3<\sqrt...

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Find the number of $x$ such that $\sigma_1(x)=n$, $n$ is a given positive...

$\sigma_1(x)$ denotes the sum of the positive divisor of the integer $x$. $\sigma_1(x)=\sum_{d\mid x}d$.For a positive integer $x=\prod_{i=1}^k p_i^{\alpha_i}$ we have...

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