A Niven number is a positive integer that is divisible by the sum of its digits. For example, 24 is a Niven number while 32 is not. There are many examples of Niven numbers and of strings of consecutive numbers each of which are Niven numbers. The numbers 110, 111, 112 form one such string. An analog to the concept of a Niven number is that of an n-Niven number. An n-Niven number is a number divisible by the sum of the digits in its base n expansion. 

Dr. Grundman will discuss some interesting properties of these numbers, explore some examples, and prove some theorems. The focus will be on the possible lengths of strings of consecutive Niven numbers and n-Niven numbers.

You can read more about Dr. Grundman here.

There will be eight posters, presented by St. Joseph's students.  Each will explain the mathematics project represented by the poster.