Divisor Sum of 275,444

Example of Divisor Sum of Integer

$\map {\sigma_1} {275 \, 444} = 519 \, 204$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$275 \, 444 = 2^2 \times 13 \times 5297$

Hence:

$\ds \map {\sigma_1} {275 \, 444}$

$=$

$\ds \frac {2^3 - 1} {2 - 1} \times \paren {13 + 1} \times \paren {5297 + 1}$

$\ds $

$=$

$\ds 7 \times 14 \times 5298$

$\ds $

$=$

$\ds 7 \times \paren {2 \times 7} \times \paren {2 \times 3 \times 883}$

$\ds $

$=$

$\ds 2^2 \times 3 \times 7^2 \times 883$

$\ds $

$=$

$\ds 519 \, 204$

$\blacksquare$