Divisor Sum of 14,595

Example of Divisor Sum of Integer

$\map {\sigma_1} {14 \, 595} = 26 \, 880$

where $\sigma_1$ denotes the divisor sum function.

We have that:

$14 \, 595 = 3 \times 5 \times 7 \times 139$

Hence:

$\ds \map {\sigma_1} {14 \, 595}$

$=$

$\ds \paren {3 + 1} \paren {5 + 1} \paren {7 + 1} \paren {139 + 1}$

$\ds $

$=$

$\ds 4 \times 6 \times 8 \times 140$

$\ds $

$=$

$\ds 2^2 \times \paren {2 \times 3} \times 2^3 \times \paren {2^2 \times 5 \times 7}$

$\ds $

$=$

$\ds 2^8 \times 3 \times 5 \times 7$

$\ds $

$=$

$\ds 26 \, 880$

$\blacksquare$