Divisor Sum of 48,976

Example of Divisor Sum of Integer

$\map {\sigma_1} {48 \, 976} = 94 \, 922$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$48 \, 976 = 2^4 \times 3061$

Hence:

\(\ds \map {\sigma_1} {48 \, 976}\)

\(=\)

\(\ds \frac {2^5 - 1} {2 - 1} \times \paren {3061 + 1}\)

Divisor Sum of Integer

\(\ds \)

\(=\)

\(\ds 31 \times 3062\)

\(\ds \)

\(=\)

\(\ds 31 \times \paren {2 \times 1531}\)

\(\ds \)

\(=\)

\(\ds 94 \, 922\)

$\blacksquare$