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MATH / The product of the proper positive integer factors of n can be written as n^((ax+b)/c), where x is the number of positive divisors n has, c is a positive integer, and the greatest …

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problem

The product of the proper positive integer factors of nn can be written as n(ax+b)/cn^{(ax+b)/c}, where xx is the number of positive divisors nn has, cc is a positive integer, and the greatest common factor of the three integers aa, bb, and cc is 11. What is a+b+ca+b+c?
Plain-text mathematical notation (without MathML)
The product of the proper positive integer factors of n can be written as n^((ax+b)/c), where x is the number of positive divisors n has, c is a positive integer, and the greatest common factor of the three integers a, b, and c is 1. What is a+b+c?
Original LaTeX notation
The product of the proper positive integer factors of $n$ can be written as $n^{(ax+b)/c}$, where $x$ is the number of positive divisors $n$ has, $c$ is a positive integer, and the greatest common factor of the three integers $a$, $b$, and $c$ is $1$. What is $a+b+c$?

level

Level 5

type

Number Theory

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Source and history

task_id
99958cd4-4d1a-5e1a-9b8c-9ebc671082a8
task_key
number~5ftheory--test--99958cd4-4d1a-5e1a-9b8c-9ebc671082a8
task_revision_id
1
config / split
number_theory / test

Official source

initial import