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Question

Difficulty Level:

Hard

MCQ

For each positive integer $n$ , let $f_1(n)$ be twice the number of positive integer divisors of $n$ , and for $j \geq 2$ ,
let $f_j(n)=f_1(f{j-1}(n))$ . For how many values of $n \leq 50$ is $f{50}(n)=12$ ?

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