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Kaprekar\x27s\x20ConstantKaprekar\x20constant,\x20or\x206174,\x20is\x20a\x20constant\x20that\x20arises\x20when\x20we\x20take\x20a\x204-digit\x20integer,\x20form\x20the\x20largest\x20and\x20smallest\x20numbers\x20from\x20its\x20digits,\x20and\x20then\x20subtract\x20these\x20two\x20numbers.\x20Continuing\x20with\x20this\x20process\x20of\x20forming\x20and\x20subtracting,\x20we\x20will\x20always\x20arrive\x20at\x20the\x20number\x206174.

An\x20illustrationTake\x20a\x204-digit\x20number\x20like\x203215.\x20Rearranging\x20to\x20form\x20the\x20largest\x20and\x20smallest\x20with\x20these\x20digits,\x20we\x20get\x205321\x20and1235.\x20Now,\x20subtract\x20them:\x205321-1235\x20=\x204086.\x20Continue\x20with\x20the\x20process\x20of\x20rearranging\x20and\x20subtracting:

8640\x20-\x200468\x20=\x208172

8721\x20-\x201278\x20=\x207443

7443\x20-\x203447\x20=\x203996

9963\x20-\x203699\x20=\x206264

6642\x20-\x202466\x20=\x204176

7641\x20-\x201467\x20=\x206174

\x20
\x20We\x20stop\x20here\x20since\x20we\x20will\x20only\x20get\x20into\x20a\x20loop\x20and\x20keep\x20getting\x206174.
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\x20\x20\x20\x20Idea\x20source:

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Magical number (kaprekar const...)