Divisor Sum of 243,760

Example of Divisor Sum of Integer

$\map {\sigma_1} {243 \, 760} = 620 \, 496$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$243 \, 760 = 2^4 \times 5 \times 11 \times 277$

Hence:

$\ds \map {\sigma_1} {243 \, 760}$

$=$

$\ds \frac {2^5 - 1} {2 - 1} \times \paren {5 + 1} \times \paren {11 + 1} \times \paren {277 + 1}$

$\ds $

$=$

$\ds 31 \times 6 \times 12 \times 278$

$\ds $

$=$

$\ds 31 \times \paren {2 \times 3} \times \paren {2^2 \times 3} \times \paren {2 \times 139}$

$\ds $

$=$

$\ds 2^4 \times 3^2 \times 31 \times 139$

$\ds $

$=$

$\ds 620 \, 496$

$\blacksquare$