# An Investigation of the Collatz Conjecture

## TL;DR

This paper investigates specific initial conditions of Collatz sequences that could prove the conjecture true, combining insights from mathematics and physics experts.

## Contribution

It introduces conditions on starting values that imply the Collatz conjecture's validity, offering a novel approach to this longstanding problem.

## Key findings

- Identifies special initial conditions implying the conjecture
- Provides theoretical evidence supporting the conjecture's truth
- Collaborative interdisciplinary approach enhances understanding

## Abstract

This paper explores special conditions on the starting value of a Collatz sequence which imply that the Collatz conjecture is true. This is the result of the collaboration of a retired mathematics professor (Koelzer) and a retired physics professor (Welling).