### Connecting the Digital Root and Trigg Operator

Paper Talk

#### Abstract

Abstract: The purpose of this talk will be to look into the digital root of a number and the Trigg Operator and to explore any connections between the two. The Trigg Operator being the operation on the four-digit positive integer, n, where n=abcd and a≥b≥c≥d with a and d not equal, defined as T(n)=badc-cdab. While the digital root of a number, denoted as dr(n), is the process of repeatedly adding the digits of a number and the resulting sum, until the sum is a single digit. We will use different topics in Number Theory and Abstract Algebra to better understand how these two topics and their relationship.

Mathematics

#### Location

Panel H: Academic Building HC 110

#### Start Day/Time

4-24-2019 12:30 PM

#### End Day/Time

4-24-2019 1:45 PM

#### Students' Information

John Munday Major: Mathematics, Minors: Honors, Speech-Language Pathology

#### Share

COinS

Apr 24th, 12:30 PM Apr 24th, 1:45 PM

Connecting the Digital Root and Trigg Operator

Panel H: Academic Building HC 110

Abstract: The purpose of this talk will be to look into the digital root of a number and the Trigg Operator and to explore any connections between the two. The Trigg Operator being the operation on the four-digit positive integer, n, where n=abcd and a≥b≥c≥d with a and d not equal, defined as T(n)=badc-cdab. While the digital root of a number, denoted as dr(n), is the process of repeatedly adding the digits of a number and the resulting sum, until the sum is a single digit. We will use different topics in Number Theory and Abstract Algebra to better understand how these two topics and their relationship.