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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: - Take any 4 digit number with not all the digits same.
- Arrange the digits in ascending and then in descending order to get two four-digit numbers.
- Subtract the smaller number from the bigger number.
- 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 . For example, suppose we choose 5342. -
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69e03 6174 Karpekar's constant
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