Consider the function defined byThe 3n + 1 conjecture is the claim that starting from any...

Consider the function defined by

The 3n + 1 conjecture is the claim that starting from any integer n > 1, the sequence of iterates T(n), T(T(n)),T(T(T(n))),…, eventually reaches the integer 1 and subsequently runs through the values 1 and 2. This has been verified for all n ≤ 1016. Confirm the conjecture in the cases n = 21 and n = 23.