6174 (Number)

6174 is known as the Kaprekar's constant after the Indian mathematician Dattathreya Ramachandra Kaprekar. This number has an interesting property. Consider the following steps:
  1. Take any 4 digit number with not all the digits same.
  2. Arrange the digits in ascending and then in descending order to get two four-digit numbers.
  3. Subtract the smaller number from the bigger number.
  4. Go back to step 2.
The above operation would always reach 6174 in at most 7 steps and it stops there. The process stops because 7641-1467 = 6174. For example, suppose we choose 5342.
5432 - 2345 = 3087
8730 - 0387 = 8352
8532 - 2358 = 6174
7641 - 1467 = 6174.
69e03 6174 Karpekar's constant

 

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