Numberphile | Kaprekar's Constant: 6174 (2011)

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Numberphile | Kaprekar's Constant: 6174 (2011)

The natural integer 6174 is known as Kaprekar’s constant after the Indian mathematician D. R. Kaprekar.

This number is notable for the following curious behavior:

- Select any four-digit number that has at least two different digits (leading zeros are allowed),

- Create two new four-digit numbers by arranging the original digits in a.) ascending and b.) descending order (adding leading zeros if necessary).

- Subtract the smaller number from the bigger number.

- If the result is not 6174, return to step 2 and repeat.

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