Permalink Submitted by Greg Lewis (dre... on September 8, 2019

To understand the "hailstone sequence", try reversing the process. All 3n+1 can be divided by 2 once, twice, or more. When the process is reversed, those which take three or more divisions serve as the basis of ever increasing "hailstone sequence" lengths terminating at the various demonstrable "odd entry gates".

## Old King Collatz: Number Theory: MyMathForum.com

To understand the "hailstone sequence", try reversing the process. All 3n+1 can be divided by 2 once, twice, or more. When the process is reversed, those which take three or more divisions serve as the basis of ever increasing "hailstone sequence" lengths terminating at the various demonstrable "odd entry gates".