6174: Kaprekar's Constant

In mathematics, 6174 is a number known as Kaprekar's constant. It is named after Indian mathematician D. R. Kaprekar, who discovered it in 1949. Kaprekar's constant has a unique property: if you take any four-digit number (except for numbers with all four digits the same), rearrange the digits in descending order, subtract the number formed by rearranging the digits in ascending order, and repeat this process, you will eventually arrive at 6174.

For example,

let's start with the number 7285. Rearranging the digits in descending order gives us 8752, and rearranging them in ascending order gives us 2578. Subtracting 2578 from 8752 gives us 6174. If we repeat this process with 6174, we get 7641 - 1467 = 6174.

Kaprekar's constant is a fascinating number with a simple yet intriguing property. It is a testament to the beauty and power of mathematics.

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