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Tuesday, March 27, 2007

MATHEMATICS - 6174 is known as KAPREKAR'S NUMBER

Something interesting about 6174

Got it from a site …. So jus thought of sharing this with u ……


The number 6174 has an interesting characteristic.

Take a 4 digit no. Make sure 4 digits r not equal.(U can take 1112or4454 but u cant take 1111or2222or3333,...)

Now take the highest & lowest no. formed by the 4 digits.
Now take their difference.
Now take the highest & lowest no. formed by the 4 digits of the difference.
Take their difference.
Keep doing this & u will end up with 6174

Let a no. be 2361

1)6321(max)-1236(min) = 5085
2)8550-0558=7992
3)9972-2799=7173
4)7731-1377=6354
5)6543-3456=3087
6)8730-0378=8352
7)8532-2358=6174

Now 7641-1467=6174

This No. i.e. 6174 is known as KAPREKAR'S NUMBER.