### Kaprekar Number

The Kaprekar Number is 6174.

(1) Take any four-digit number.

(2) Form the largest and the smallest numbers from these four digits.

(3) Find the difference between those digits. Maybe this is 6174.

If it is not, form the largest and the smallest number from the difference and subtract these numbers again. You may have to repeat this procedure.

The end result is always 6174, with no more than 7 steps.

Take the number 3546.

1st step: 6543 - 3456 = 3087

2nd step: 8730 - 0378 = 8352

3rd step: 8532 - 2358 = 6174

Take the number 5184.

1st step: 8541 - 1458 = 7083

2nd step: 8730 - 0378 = 8532

3rd step: 8532 - 2358 = 6174

More Numbers at

^{www.}TheMathWebSite

^{.com.}

<< Home