6174 - KAPREKAR'S CONSTANT

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Kaprekar’s constant ( 6174 )

The number 6174 is known as Kaprekar’s constant. The number is named after the Indian Mathematician Dr. D. R. Kaprekar.

Now follow the rules given below:
  • Take any 4-digit number ( at least two different digits ). Leading zeroes are allowed.
  • Arrange the digits in descending order and then in ascending order.
  • Now subtract the greater number from the smaller number.
  • Repeat the process until you get the number 6174.
  • You will always end with the number 6174.

Example: Let us choose 8967, then
  • 9876 – 6789 = 3087
  • 8730 – 0378 = 8352
  • 8532 – 2358 = 6174

Other properties
  • 6174 is a Harshad number
  • 6174 is 7-smooth number




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