Location
Innovation Lab, Room 212
Start Date
4-2-2025 3:00 PM
End Date
4-2-2025 3:30 PM
Presentation Date
2 April 2025, 3:00pm - 3:30pm
Biography
My name is Henry M. Willie, I am a sophomore studying electrical engineering at Missouri University of Science and Technology. My passion for electrical engineering stems from my hearing loss as I am completely deaf in both ears. If it was not for my innovative hearing equipment, I would not be able to hear at all. There is much to improve, and I wish to make life better for everyone and help others. I am thoroughly involved at the school and am entering my third year as the electrical sub-lead for the Multirotor Design Team. My passion for learning propels me to dig deeper, which is why I mentor others in my design team and why I am an active participant in the Opportunities for Undergraduate Research Experiences (OURE) program here at campus.
Meeting Name
2025 - Miners Solving for Tomorrow Research Conference
Department(s)
Mathematics and Statistics
Document Type
Presentation
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025, Henry M. Willie, All rights reserved
A Study of the Sum of Divisors
Innovation Lab, Room 212
Comments
Advisor: Clayton (CJ) Lungstrum
Abstract:
Number theory is a branch of mathematics that studies the arithmetic properties of positive integers. The aim of the paper is to develop and prove various conjectures about positive integers. We begin by separating the positive integers into three separate categories determined by the sum of the sum of the number’s proper divisors: perfect numbers, abundant numbers, and deficient numbers. We focus our attention first on perfect numbers proving that even perfect numbers take a specific form when written in binary form. We then turn our attention to abundant numbers and analyze the frequency with which they occur based on their last digit. By utilizing python, we will test an array of properties to find distinct characteristics in patterns, indices, and frequencies which can occur in a variety of bases.