New results on the stopping time behaviour of the Collatz 3x + 1 function

Mike Winkler

Let ${\sigma }_n=\lfloor 1+n\cdot {\log }_{2}3\rfloor$. For the Collatz 3x + 1 function exists for each $n\in \mathbb{N}$ a set of different residue classes $(\text{mod}{2}^{{\sigma }_n})$ of starting num…