Divisor Sum of 1,857,437,604

Example of Divisor Sum of Integer

 * $\map {\sigma_1} {1 \, 857 \, 437 \, 604} = 5 \, 168 \, 743 \, 489$

where $\sigma_1$ denotes the divisor sum.

Proof
From Divisor Sum of Integer
 * $\ds \map {\sigma_1} n = \prod_{i \mathop = 1}^r \frac {p_i^{k_i + 1} - 1} {p_i - 1}$

where $n = \ds \prod_{1 \mathop = 1}^r p_i^{k_i}$ denotes the prime decomposition of $n$.

We have that:
 * $1 \, 857 \, 437 \, 604 = 2^2 \times 3^2 \times 11^2 \times 653^2$

Hence: