Divisor Sum of 14,316
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Example of Divisor Sum of Integer
- $\map {\sigma_1} {14 \, 316} = 33 \, 432$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $14 \, 316 = 2^2 \times 3 \times 1193$
Hence:
\(\ds \map {\sigma_1} {14 \, 316}\) | \(=\) | \(\ds \frac {2^3 - 1} {2 - 1} \times \paren {3 + 1} \times \paren {1193 + 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds 7 \times 4 \times 1194\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 7 \times 2^2 \times \paren {2 \times 3 \times 199}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2^3 \times 3 \times 7 \times 199\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 33 \, 432\) |
$\blacksquare$