Divisor Sum of 152,990

Example of Divisor Sum of Integer

$\map {\sigma_1} {152 \, 990} = 275 \, 400$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$152 \, 990 = 2 \times 5 \times 15 \, 299$

Hence:

$\ds \map {\sigma_1} {152 \, 990}$

$=$

$\ds \paren {2 + 1} \times \paren {5 + 1} \times \paren {15 \, 299 + 1}$

$\ds $

$=$

$\ds 3 \times 6 \times 15 \, 300$

$\ds $

$=$

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

$\ds $

$=$

$\ds 2^3 \times 3^4 \times 5^2 \times 17$

$\ds $

$=$

$\ds 275 \, 400$

$\blacksquare$