
Define the “shortcut” of the Collatz function as
$T: \mathbb{N}\longrightarrow\mathbb{N}$, such that
$
T\left(x\right) =
\begin{cases}
\frac{x}{2} & \text{if } 2 \mid x \\
\left\lceil 1.5x \right\rceil & \text{otherwise}
\end{cases}
$
where $x\in \mathbb{N}$
Let $T^i(x)$ be the output of the $i$...