Divisor Sum of 104

Example of Divisor Sum of Integer

$\map {\sigma_1} {104} = 210$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$104 = 2^3 \times 13$

Hence:

\(\ds \map {\sigma_1} {104}\)

\(=\)

\(\ds \frac {2^4 - 1} {2 - 1} \times \frac {13^2 - 1} {13 - 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds \frac {16 - 1} 1 \times \frac {169 - 1} {12}\)

\(\ds \)

\(=\)

\(\ds 15 \times 14\)

\(\ds \)

\(=\)

\(\ds 210\)

$\blacksquare$