# Working with 2s and 3s

## TL;DR

This paper presents an elementary approach to establish an equivalent condition for the Collatz conjecture, providing new insights, examples, and open problems related to this longstanding mathematical question.

## Contribution

It introduces an equivalent condition for the Collatz conjecture using elementary methods and offers various examples, exercises, and conjectures.

## Key findings

- Derived an equivalent condition for the Collatz conjecture
- Provided several examples illustrating the condition
- Proposed open problems and conjectures related to the conjecture

## Abstract

We establish an equivalent condition to the validity of the Collatz conjecture, using elementary methods. We derive some conclusions and show several examples of our results. We also offer a variety of exercises, problems and conjectures.