Magical Numbers

In this short article, we will examine some of the well-known mathematical numbers with their intriguing characteristics.

1. Ramanujan Number

1729, one of the most well-known numbers, is also called the Ramanujan number or the Taxicab number. There is an exciting story behind why it is called that:

When Ramanujan was sick and hospitalized in London, fellow mathematician G.H. Hardy took a cab with the number 1729 to go see him. When he got there, he saw it was "quite a dull number" and hoped it wasn't a bad omen.

No, Hardy," Ramanujan said. It's a really amazing number. The smallest number can be formed by adding the squares of two separate cubes in two different ways.

These kinds of numbers are referred to be taxicab numbers. Other instances are as below:

2. Armstrong Numbers

Narcissistic Numbers, likewise called Armstrong Numbers (after Michael F. Armstrong), are numbers that are equivalent to the sum of their digits raised to the power of the number of digits.

Some basic examples of 3-digit numbers are:

There exist some amazing twists within the Armstrong numbers.

• Dudeney Numbers: Add the digits of the number before raising them to the power of 3.

• Munchausen Numbers:?Raise each digit to the power of itself and add them up.

3. Friedman Numbers

The Friedman Numbers are the most fascinating. They are named after Erich Friedman, a former mathematician who taught at Florida's Stetson University.

Friedman numbers are those that can be written using their digits and the fundamental arithmetic operations in a non-trivial way. Some of the simple examples are given below:

There exist certain numbers known as nice Friedman numbers, and some of them are :

• 216, 1024, 1255, and 1260 are other examples of Friedman numbers
• 2187, 2592, and 4096 are other examples of nice Friedman numbers
• One fascinating thing you can do is to see whether the above are to be sure Friedman numbers by attempting to think of them in the configuration as determined previously. You can give your opinion in a comment and let me know your response and also about some other interesting numbers.

I might want to end this post with an exceptionally fascinating Friedman number:

Resources:

https://web.archive.org/web/20120716185939/https://www-gap.dcs.st-and.ac.uk/~history/Quotations/Hardy.html

https://owlcation.com/stem/Interesting-Mathematical-Numbers

https://www.numbersaplenty.com/set/Friedman_number/