I want to compute the collatz sequence $(n,T(n),T^2(n),\dots)$
for $$n= 100\cdot \left \lfloor {\pi \cdot 10^{35}}\right \rfloor$$ with
$$T(n) = \begin{cases} \frac{3n + 1}{2} & \text{ if $n$ odd} \\ \frac{n}{2} & \text{ if $n$ even} \end{cases} $$ This sequence was computed before and is 529 steps long (i.e. $T^{529}(n)=1$).
If I compute it with Matlab, I have the feeling that he rounds up numbers which changes the exact sequence. My computed sequence is only 297 steps long. Is it possible to compute such a trajectory with Matlab?