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Omni-MATH / Kelvin the Frog was bored in math class one day, so he wrote all ordered triples…

Problem

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problem

Kelvin the Frog was bored in math class one day, so he wrote all ordered triples (a,b,c)(a, b, c) of positive integers such that abc=2310a b c=2310 on a sheet of paper. Find the sum of all the integers he wrote down. In other words, compute $$\sum_{\substack{a b c=2310 \\ a, b, c \in \mathbb{N}}}(a+b+c)$$ where N\mathbb{N} denotes the positive integers.
Plain-text mathematical notation (without MathML)
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 $$\sum_{\substack{a b c=2310 \\ a, b, c \in \mathbb{N}}}(a+b+c)$$ where N denotes the positive integers.
Original LaTeX notation
Kelvin the Frog was bored in math class one day, so he wrote all ordered triples $(a, b, c)$ of positive integers such that $a b c=2310$ on a sheet of paper. Find the sum of all the integers he wrote down. In other words, compute $$\sum_{\substack{a b c=2310 \\ a, b, c \in \mathbb{N}}}(a+b+c)$$ where $\mathbb{N}$ denotes the positive integers.

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Source and history

task_id
a9dae75f-3d8a-5793-a3eb-7696f48899cc
task_key
test--a9dae75f-3d8a-5793-a3eb-7696f48899cc
task_revision_id
1
config / split
/ test

Official source

initial import