Square Numbers whose Divisor Sum is Square/Examples/1306

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Example of Square Number whose Divisor Sum is Square

$\map {\sigma_1} {1306^2} = 1729^2$


Proof

We have that $1306^2 = 1 \, 705 \, 636$.

Then from $\sigma_1$ of $1 \, 705 \, 636$:

$\map {\sigma_1} {1 \, 705 \, 636} = 2 \, 989 \, 441$

which equals $1729^2$.

$\blacksquare$