Wednesday, January 15, 2014

Number Pattern of 6174

Today I am going to introduce 6174. It is a number well known to many. Some say it  It is, however, a very interesting number. Indeed, the number 6174 is also known as the Kaprekar constant. It is named after the Indian mathematician Dattaraya Ramchandra Kaprekar who studied the mystery behind 6174.Well, first, if you arrange the digits such that you have the highest number (7641) and also the lowest number (1467), and then determine the difference between the two, you arrive at 6174 (7641 – 1467 = 6174). 
Here is am example. If you try 3177! 
 3177 -> 7731, 1377
7731 – 1377 = 6354And again:
6354 -> 6543, 3456
6543 – 3456 = 3087
Continuing:
3087 -> 8730, 0378
8730 – 378 = 8352
Continuing
8352 -> 8532, 2358
8532 – 2358 = 6174

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