Divisor Sum of 629,072

Example of Divisor Sum of Integer

$\map {\sigma_1} {629 \, 072} = 1 \, 218 \, 858$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$629 \, 072 = 2^4 \times 39 \, 317$

Hence:

\(\ds \map {\sigma_1} {629 \, 072}\)

\(=\)

\(\ds \frac {2^5 - 1} {2 - 1} \times \times \paren {39 \, 317 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds 31 \times 39 \, 318\)

\(\ds \)

\(=\)

\(\ds 31 \times \paren {2 \times 3 \times 6553}\)

\(\ds \)

\(=\)

\(\ds 1 \, 218 \, 858\)

$\blacksquare$