Arithmetic dynamics | Base-dependent integer sequences | Sorting algorithms
In number theory, Kaprekar's routine is an iterative algorithm that, with each iteration, takes a natural number in a given number base, creates two new numbers by sorting the digits of its number by descending and ascending order, and subtracts the second from the first to yield the natural number for the next iteration. It is named after its inventor, the Indian mathematician D. R. Kaprekar. Kaprekar showed that in the case of four-digit numbers in base 10, if the initial number has at least two distinct digits, after seven iterations this process always yields the number 6174, which is now known as Kaprekar's constant. (Wikipedia).
Magic number 6174 and Kaprekar's Operation on 4-digit Integers
#shorts #mathonshorts check out information on Kaprekar's operation from the wiki page: https://en.wikipedia.org/wiki/Kaprekar%27s_routine All 4-digit numbers will go to 6174 after a few steps of Kaprekar's operation.
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6174 is also known as Kaprekar's Constant. More links & stuff in full description below ↓↓↓ This video features University of Nottingham physics professor Roger Bowley, who is also featured on our Sixty Symbols channel at http://www.youtube.com/sixtysymbols NUMBERPHILE Website: http://ww
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Kaprekar's Operation on 6-digit Integers
#shorts #mathonshorts check out information on Kaprekar's operation from the wiki page: https://en.wikipedia.org/wiki/Kaprekar%27s_routine
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