6174 Kaprekar's Constant

Take any number with 4 non-repeating digits. Say 1562.

Step 1: Arrange the number in ascending and then descending orderStep 2: Subtract the smaller number from the bigger number

6521 - 1256 = 5265

Repeat the steps with your new number (the answer):

5265 = 6552 - 2556 = 3996

3996 = 9963 - 3699 = 6264

6264 = 6642 - 2466 = 4176

4176 = 7641 - 1467 = 6174

Try any 4-digit number with non-repeating digits, and you'll always get 6174.

Pretty cool, huh?

6174 is known as Kaprekar's constant. The math operation above, discovered by Indian mathematician D.R. Kaprekar, will reach 6174 after at most 7 steps (if you did more than 7 iterations, check your arithmetic).


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  • 1

    Interesting. :o

    • Katt
    • April 14, 2010, 8:09 am
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