The Collatz Problem
Experimental Data and Model

By Eric Farin

Last Update April 25th ,2011

The purpose of this site is to present some results concerning the Collatz Conjecture and related functions defined to explore the properties of this fascinating problem.

It does not prove any results concerning these functions, but proposes models of their behavior and compares them to the experimental calculations made by the author and other people.

In particular, it shows models or estimations for

 

Threads are defined and all their properties detailed, as well as the means to build their characteristic functions.

Some considerations about Loops are given.

Another section is dedicated to Finesse Record Holders chasing, anyone having some free CPU time can join the search.

 New results and the chase status are presented in the News Section.

New record discovered on April 2011
4 numbers with gamma > 37

 

I recommend visiting some other sites for other or more information about the Collatz Problem

 

Please send me any comments, questions or suggestion at:
 ericfarin@gmail.com