Kaprekar Number

D.R.Kaprekar

Kaprekar Number 6174

Rules :

•  Select any four digit number, but do not select the numbers like 1111, 2222, 3333,...



•  Arrange the digits in decreasing order.



•  Now arrange the digits in ascending order.



•  Subtract the smaller number from the larger number.



•  Repeat the steps until you get 6174 in repetition.

For Example :- Lets take a number 1234


Step 1:-  Arranging the digits in descending order we get 4321.

Step 2:-  Arranging the digits in ascending order we get 1234.

Step 3:-  Subtract 1234 from 4321 = 4321 - 1234 =  3087.

Step 4:-  Arranging the digits in descending order we get 8730.

Step 5:-  Arranging the digits in ascending order we get 0378.

Step 6:-  Subtract 0378 from 8730 = 8730 - 0378 = 8352.

Step 7:-  Arranging the digits in descending order we get 8532.

Step 8:-  Arranging the digits in ascending order we get 2358.

Step 9:-  Subtract 2358 from 8532 = 8532 - 2358 =6174

Step 10:- Arranging the digits in descending order we get 7641.

Step 11:-  Arranging the digits in ascending order we get 1467.

Step 12:-  Subtract 1467 from 7641 =  7641 - 1467 = 6174.

 

.

.

.

.

.

.

You will find that all four digit number using kaprekar rule will reach the number 6174

Posted in: Funny Tricks, Interesting Tricks, Maths