Divisor Sum of 294,896

Example of Divisor Sum of Integer

$\map {\sigma_1} {294 \, 896} = 653 \, 232$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$294 \, 896 = 2^4 \times 7 \times 2633$

Hence:

$\ds \map {\sigma_1} {294 \, 896}$

$=$

$\ds \frac {2^5 - 1} {2 - 1} \times \paren {7 + 1} \times \paren {2633 + 1}$

$\ds $

$=$

$\ds 31 \times 8 \times 2634$

$\ds $

$=$

$\ds 31 \times 2^3 \times \paren {2 \times 3 \times 439}$

$\ds $

$=$

$\ds 2^4 \times 3 \times 31 \times 439$

$\ds $

$=$

$\ds 653 \, 232$

$\blacksquare$