Kaprekar's Constant

Applying the Kaprekar routine to 4-digit number reaches 0 for exactly 77 4-digit numbers, while the remainder give 6174 in at most 8 iterations. The value 6174 is sometimes known as Kaprekar's constant (Deutsch and Goldman 2004).

See also

Kaprekar Number, Kaprekar Routine

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Deutsch, D. and Goldman, B. "Kaprekar's Constant." Math. Teacher 98, 234-242, 2004.

Cite this as:

Weisstein, Eric W. "Kaprekar's Constant." From MathWorld--A Wolfram Web Resource.

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