6174 - KAPREKAR'S CONSTANT
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