The complete understanding of the Collatz.

The Collatz conjecture was referred to me in Dec. 2025. I had just weeks before resolved Rusell's paradox and was ready for a challenge. Using the resolution of for his paradox I broke the sets of the function and the processes of the sequences by discovering a master background code in the answer line. This first step was enough to explain every sequence of all numbers but was a method that was not explained easily so multiple papers were written. this is the culmination of the 35 hours spent studying the system and coming up with new methods to explain.