Date of Submission

Spring 2019

Academic Programs and Concentrations

Mathematics

Project Advisor 1

John Cullinan

Abstract/Artist's Statement

This project is concerned with happy numbers. Classic happy number is defined by the following process: starting with a positive number n, replace n by the sum of the squares of each digit of n in base-ten, and repeat the process until n either reaches a fixed point 1, or a cycle not containing 1. For a number ends with a fixed point, then it is a happy number. A number ends with a cycle is unhappy. This project explores the generalization of iterations of f_p, p

Open Access Agreement

On-Campus only

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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