Divisor Sum of 381,028

Example of Divisor Sum of Integer

$\map {\sigma_1} {381 \, 028} = 666 \, 806$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$381 \, 028 = 2^2 \times 95 \, 257$

Hence:

\(\ds \map {\sigma_1} {381 \, 028}\)

\(=\)

\(\ds \frac {2^3 - 1} {2 - 1} \times \paren {95 \, 257 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds 7 \times 95 \, 258\)

\(\ds \)

\(=\)

\(\ds 7 \times \paren {2 \times 47 \, 629}\)

\(\ds \)

\(=\)

\(\ds 666 \, 806\)

$\blacksquare$