An Exploration Into the Collatz Conjecture with Changed Parameters

Abstract

Exploring the Collatz Conjecture and changing the expression from 3n + 1 to 5n + 1, we found patterns in different sets of numbers. Some numbers reduce to one (as stated in the Collatz Conjecture), some might escape to infinity, and some get stuck in repeating cycles. To further explore the patterns involved in Collatz-like expressions, we changed the expression to 3n+5 and found connections between 3n+1 and 3n+5.