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 $1729^2$.
$\blacksquare$