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bd40bc7c7a Well you say, I suppose this is somewhat interesting. He was not well known, however, despite many of his papers being reviewed in Mathematical Reviews. Notice that when the square is split we can start the right-hand most part with 0s. Harshad numbers for bases other than 10 are also interesting and we can ask whether any number is a Harshad number for every base. ^ a b Kaprekar, D. He started trying to find the shortest possible routes to solve mathematical problems.
Rearrange the digits to form the largest and smallest numbers with these digits, namely 7643 and 3467, and subtract the smaller from the larger to obtain 4167. .. Now continue the process with the result:. ^ An informal proof of the property for three digits ^ "Mysterious number 6174" in Plus Magazine ^ Weisstein, Eric W. For example he notes that certain numbers are generated by more than a single number - these he calls junction numbers. He remarks that numbers exist with more than 2 generators. 3087 -> 8730, 0378 8730 378 = 8352. Kaprekar also studied the Demlo numbers, named after a train station 30 miles from Bombay on the then G.