[Note: In another article we presented the concept of Perfect Numbers, and the related two classes of numbers, Deficient and Abundant. If you have not read that one, it would be a good idea to do so now before proceeding here. The topic before us now is a natural extension of that article.] For centuries [...]
How many perfect people do you know? Or, better, how many perfect people have lived in this world of human beings? Not many, I’m sure you all would agree. Well, the same is true, in a relative sense of the word, in the world of numbers. The ancient Greeks, who held a great reverence for [...]
The basic concept needed to solve this problem is that of the digit sum of a number. The digit sum of a number is nothing more nor less than the “sum of the digits of a given number.” For example, the digit sum of 283 is 2 + 8 + 3, or 13. To make [...]
[NOTE: The information in this page is based on an article by J. M. Sachs. Admirable Numbers and Compatible Pairs. The ARITHMETIC TEACHER, October 1960. pp. 293-5] In two other articles we discussed the well known ideas of perfect, deficient and abundant numbers and amicable numbers. These categories are famous and often discussed in books [...]