Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Minicourse for Undergraduates: Harshad Numbers and Sage Programming

Minicourse for Undergraduates: Harshad Numbers and Sage Programming

Modern Math Workshop 2015 October 28, 2015 - October 29, 2015

October 28, 2015 (01:00 PM PDT - 05:00 PM PDT)
Speaker(s): Alejandra Alvarado (U.S. Navy), Helen Grundman (American Mathematical Society), Pamela Harris (Williams College)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract

A Harshad number is a positive integer that is divisible by the sum of its digits.  The word “Harshad” comes from the Sanskrit harsa (joy) + da (give), meaning joy-giver, which was defined by the Indian mathematician D.R. Kaprekar.  All one digit numbers are Harshad numbers and it is fairly simple to determine which two digit numbers are Harshad.  In 1994, H. Grundman generalized the concept to b-Harshad (or b-Niven) numbers.  Simply put, for b > 1, a b-Harshad number is a positive integer that is divisible by the sum of the digits of its base b expansion.  The mini-course will provide undergraduate students with an opportunity to learn about Harshad numbers and how to compute some of their properties using the freely available mathematical program Sage. No prior programing experience is required.

Pre-requisite: An undergraduate algebra or number theory course

Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded