#### Title

On the 3X + 1 problem

#### Date of Publication

2001

#### Document Type

Bachelor's Thesis

#### Degree Name

Bachelor of Science in Mathematics

#### College

College of Science

#### Department/Unit

Mathematics and Statistics Department

#### Abstract/Summary

This thesis is a contribution to the continuously expanding field of knowledge on the 3X + 1 problem. The 3x + 1 problem involves the behavior of a function, known in the literature of Mathematics as the Collatz function, attributed to its original author, Lothar Collatz. By continually applying the function to its output, iterates are produced thus forming a sequence of positive integers called the Collatz sequence. The 3x + 1 problem states that for any initial positive integer, the number 1 is always included in the Collatz sequence.

The researchers intended this thesis to be an exposition of the primary findings of The 3x + 1 Problem by Eric Roosendaal and 3n + 1 Problem by Jeffrey Lagarias. Moreover, the writers of this thesis found patterns that occur in the concepts defined by the said researchers.

#### Abstract Format

html

#### Language

English

#### Format

#### Accession Number

TU10723

#### Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

#### Physical Description

73 leaves

#### Recommended Citation

Cruz, C. R., & Zarasate, M. (2001). On the 3X + 1 problem. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17161