Divisor Sum of 464

Example of Divisor Sum of Integer

$\map {\sigma_1} {464} = 930$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$464 = 2^4 \times 29$

Hence:

\(\ds \map {\sigma_1} {464}\)

\(=\)

\(\ds \frac {2^5 - 1} {2 - 1} \times \paren {29 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds \frac {31 - 1} 1 \times 30\)

\(\ds \)

\(=\)

\(\ds 31 \times 30\)

\(\ds \)

\(=\)

\(\ds \paren {2 \times 3 \times 5} \times 31\)

\(\ds \)

\(=\)

\(\ds 930\)

$\blacksquare$