# 142857: The Cyclic Number That Pulled Me In

## This number will probably pull you in too!

A while back, I wrote an essay on the curious case of the interesting number paradox. While concluding this essay, I requested readers to share their favourite number(s). I got a few interesting entries in the comments section. Out of the whole lot, Fabiano Fagundes’s comment took the cake for me:

“Mine is 142857. No kidding. I love the only cyclic number in the decimal system.”

Until this point, I did not know about this number. So, naturally, I had to investigate. The deeper I dove in, the more interesting this number got. So, here we are.

I will start by sharing some of the interesting properties of this number. Following this, I will explain why this number is a cyclic number. Finally, I will touch upon the generalised notion of cyclic numbers. If you are interested in this sort of stuff, strap in, and let us begin.

## The Mathematical Carousel

Let us start with the number in question: 142857

To begin, let me just arrange the digits that constitute this number in their ascending order as follows (note that we have 6 digits in total):

1, 2, 4, 5, 7, 8