”" Math Formula?

Tuesday, November 13, 2007

KAPREKAR CONSTANT



Take a 4 digit no.(not all digit same)
arrange it's digit in asscending & descending order substract the no.
keep this process on
u always have no 6174
ex:-
let no is 4000
4000-0004=3996
9963-3699=6264
6642-2466=4176
7641-1467=6174
it's always true
It's actually Kaprekar constant, named after Dattatreya Ramchandra Kaprekar. He was a gifted school teacher. It is said that he came across this number when he was sitting on one of the benches at Dombivli railway station (Dombivli is a city in Maharashtra, near Mumbai)and by looking at the number 6174 on the waggon carrying the goods that was passing by before him.

Now people are doing extensive research in this. They've found Kaprekar routine and also Kaprekar constants in other bases(6174 is the Kaprekar constant in base 10). More about the inventor can be read at:

http://drkaprekar.quickseek.com/

2 comments:

Anonymous said...

You can discover more series using the Kaprekar Series Generator at http://kaprekar.sourceforge.net/

Anonymous said...

I have discovered new thing about kaprekar constant I want to discuss?