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MathNet 2021 — Part 05 Question 23

Math Olympiad Vault · MathNet 2021 — Part 05

Question 23

Let $f(x) = x^{3} - 3x$. Compute the number of positive divisors of
$$
\left\lfloor f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(\frac{5}{2}\right)\right)\right)\right)\right)\right)\right)\right)\right\rfloor
$$
where $f$ is applied 8 times.