Kaprekar Number 6174 Theory

Rules Step 1 Select any four digit number, but do not select the ones in which all the four digits are the same like 1111, 2222, ... Step 2 Arrange the digits in decreasing order. Step 3 Arrange the digits in increasing order. Step 4 Subtract the smaller number from the larger number. Step 5 Repeat the steps 2, 3 and 4 until you get 6174 in repetition. Example Step : 1 ==> 4 digit number is 5620. Step : 2 ==> Arrange decreasing order : 6520 Step : 3 ==> Arrange increasing order : 0256 Step : 4 ==> Subtract the smaller number from the larger number : 6520 - 0256 = 6264 Step : 5 ==> Take the final result and repeat the steps 2, 3, and 4 until you get the repetition of 6174. Like, 6264 = 6642 - 2466 = 4176 4176 = 7641 - 1467 = 6174 6174 = 7641 - 1467 = 6174 Have fun with this math trick and discover why all the 4 digit numbers on subtracting using the kaprekar operation reach to the mysterious number 6174.