CollatzConjecture

This repository contains a couple of tools to help prove the Collatz conjecture.

Algorithms in this repository were used to obtain results in:

Schwob M.R., Shiue P., Venkat R., (2021). "Novel Theorems and Algorithms Relating to the Collatz Conjecture." International Journal of Mathematics and Mathematical Science, 5754439.

Description of Each File

visualize.cpp

This file generates an inverse binary tree for the Collatz conjecture in the console. This customizable, interactive interface can be used to efficiently navigate through Collatz sequences.

iterations.cpp

This file obtains the number of iterations until each positive, odd integer reaches 1, reaches a value less than itself, and its representation in bases 2-4.

peaks.cpp

This file obtains the highest integer in the Collatz sequence for every odd integer up to some given number. It also provides each odd integer's number of iterations until 1 is reached.

base4.cpp

This file returns the Collatz sequence starting with a given natural number, iteration by iteration in bases 4 and 10.

Licensing

This repository is licensed under GNU GPLv3.