Divisor Sum of 358,336

Example of Divisor Sum of Integer

$\map {\sigma_1} {358 \, 336} = 777 \, 240$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$358 \, 336 = 2^6 \times 11 \times 509$

Hence:

$\ds \map {\sigma_1} {358 \, 336}$

$=$

$\ds \frac {2^7 - 1} {2 - 1} \times \paren {11 + 1} \times \paren {509 + 1}$

$\ds $

$=$

$\ds 127 \times 12 \times 510$

$\ds $

$=$

$\ds 127 \times \paren {2^2 \times 3} \times \paren {2 \times 3 \times 5 \times 17}$

$\ds $

$=$

$\ds 2^3 \times 3^2 \times 5 \times 17 \times 127$

$\ds $

$=$

$\ds 777 \, 240$

$\blacksquare$