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Omni-MATH / For a positive integer n, let, τ(n) be the number of positive integer divisors of n. How many integers 1≤n≤50 are there such that τ(τ(n)) is odd?

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problem

For a positive integer nn, let, τ(n)\tau(n) be the number of positive integer divisors of nn. How many integers 1≤n≤501 \leq n \leq 50 are there such that τ(τ(n))\tau(\tau(n)) is odd?
Plain-text mathematical notation (without MathML)
For a positive integer n, let, τ(n) be the number of positive integer divisors of n. How many integers 1≤n≤50 are there such that τ(τ(n)) is odd?
Original LaTeX notation
For a positive integer $n$, let, $\tau(n)$ be the number of positive integer divisors of $n$. How many integers $1 \leq n \leq 50$ are there such that $\tau(\tau(n))$ is odd?

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