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Function $C$ is defined on positive integers as follows:\(C(n) = \begin{cases} \dfrac n 2 & \text{if $n$ is even}, \\ 3n+1 & \text{if $n$ is odd}. \end{cases}\)Find the smallest positive integer $m$ such that \($C^{m}(9) = 1$.\)

 Apr 30, 2023
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The smallest such positive integer m is 16.

 Apr 30, 2023

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