MathDB

Kelvin the Frog was bored in math class one day, so he wrote all ordered triples

(a, b, c)

of positive integers such that

abc=2310

on a sheet of paper. Find the sum of all the integers he wrote down. In other words, compute

\sum_{\stackrel{abc=2310}{a,b,c\in \mathbb{N}}} (a+b+c),

where

\mathbb{N}

denotes the positive integers.

Problem Statement