Divisor Sum of 418,904

Example of Divisor Sum of Integer

$\map {\sigma_1} {418 \, 904} = 785 \, 460$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$418 \, 904 = 2^3 \times 52 \, 363$

Hence:

\(\ds \map {\sigma_1} {418 \, 904}\)

\(=\)

\(\ds \frac {2^4 - 1} {2 - 1} \times \paren {52 \, 363 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds 15 \times 52 \, 364\)

\(\ds \)

\(=\)

\(\ds \paren {3 \times 5} \times 52 \, 364\)

\(\ds \)

\(=\)

\(\ds 785 \, 460\)

$\blacksquare$