Document Type

Article

Publication Date

9-18-2021

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

2021

First page number:

1

Last page number:

10

Abstract

Proposed in 1937, the Collatz conjecture has remained in the spotlight for mathematicians and computer scientists alike due to its simple proposal, yet intractable proof. In this paper, we propose several novel theorems, corollaries, and algorithms that explore relationships and properties between the natural numbers, their peak values, and the conjecture. These contributions primarily analyze the number of Collatz iterations it takes for a given integer to reach 1 or a number less than itself, or the relationship between a starting number and its peak value.

Controlled Subject

Collatz, L. (Lothar), 1910-1990; Mathematicians; Algorithms

Disciplines

Mathematics | Theory and Algorithms

File Format

pdf

File Size

1327 KB

Language

English

Rights

IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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