"True But Unproven" is STILL under construction!

Apparently, "Coming Soon" was a bit overly optimistic. So much research to do, so little time.

But seeing that I have posted some fragments already, usually to illustrate some point, I may as well consolidate them here.

A detailed Collatz tree of the first 500 integers

The 3x+3 tree compared to the 3x+1 tree

Predicted vs. actual stopping times for Mersenne numbers

How big is a 2000-bit number?

Puzzles

The Big Bang Theory of Binary Numbers

Hailstone Patterns