All my tiny Mathematica scripts that I use to study collatz conjecture

Some of these I have tried and others I have not. Beware that some of these are more general than complete lines of attack. Some of these elements just represent formal methods which might or might not yield something later.

• Reduce to function composition
• Representing the indeterminancy of choosing between even or odd with a real analytic version of if
• Graph theory
• Number theory
• Formal Grammar
• • Studying sequence of odd/even statistically
• Markov Chains
• • Mostly used to test pet theories; not for prescribing incumbent structure a priori
• Treating 2^n integers as buckets and studying the deviation of successive application of the collatz func
• Split all integers into buckets demarcated by the values of 2ⁿ and on successive applications of collatz function, track distance to boundary

TODO

• The Ultimate Challenge: The 3x+1 Problem
• Wikipedia's Collatz conjecture article