The purpose of this repository is to analyze and visualize patterns within the collatz conjecture, a mathematical conjecture that has never been proven.
Research Questions:
- what causes repeating '4, 2, 1' leading digit and how frequently does this pattern occur.
- Are there any patterns in terms of input numbers(x) grouped by iteration #.
- Use functools cache to do path matching on different integer values Eg. Which integer inputs eventually match the pattern [3, 10, 5, 16, 8, 4, 2, 1]; How many unique paths can we find?