Square whose Sigma is Cubic

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Theorem

The number $1 \, 857 \, 437 \, 604$ is a square number whose $\sigma$ value is a cube.


Proof

\(\displaystyle 1 \, 857 \, 437 \, 604\) \(=\) \(\displaystyle 43 \, 098^2\)
\(\displaystyle \map \sigma {1 \, 857 \, 437 \, 604}\) \(=\) \(\displaystyle 5 \, 168 \, 743 \, 489\) $\sigma$ of $1 \, 857 \, 437 \, 604$
\(\displaystyle \) \(=\) \(\displaystyle 1729^3\)

$\blacksquare$


Sources