Divisor Sum of 366,556

Example of Divisor Sum of Integer

$\map {\sigma_1} {366 \, 556} = 641 \, 480$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$366 \, 556 = 2^2 \times 91 \, 639$

Hence:

\(\ds \map {\sigma_1} {366 \, 556}\)

\(=\)

\(\ds \frac {2^3 - 1} {2 - 1} \times \paren {91 \, 639 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds 7 \times 91 \, 640\)

\(\ds \)

\(=\)

\(\ds 7 \times \paren {2^3 \times 5 \times 29 \times 79}\)

\(\ds \)

\(=\)

\(\ds 641 \, 480\)

$\blacksquare$