Kaprekar Number 6174 Theory | Math Tricks

The number 6174 is the only unchanged mysterious number discovered by Kaprekar's operation. Discover the mystery behind the 6174 loop by using any four digit number.

Kaprekar Number 6174 Theory

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.

The number 6174 is the only unchanged mysterious number discovered by Kaprekar's operation. Discover the mystery behind the 6174 loop by using any four digit number.

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