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2023 SSMO Accuracy Round Problems/Problem 5

Revision as of 22:21, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Define the <math>\textit{relationship}</math> between two numbers <math>a</math> and <math>b</math> to be <math>\frac{\sigma(ab)}{\sigma(a)\sigma(b)}</math> where...")
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Problem

Define the $\textit{relationship}$ between two numbers $a$ and $b$ to be $\frac{\sigma(ab)}{\sigma(a)\sigma(b)}$ where $\sigma(x)$ is the number of divisors of $x$. Find the sum of integers $1 \le n \le 100$ which have a relationship of $\frac{3}{4}$ with $360$.

Solution

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