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What is Kaprekar Numbers about?

The document discusses n-Kaprekar numbers, establishing their correspondence with unitary divisors of 10n − 1 and refining an algorithm proposed by Charosh in 1981. It presents the main result that n-Kaprekar numbers can be derived from unitary divisors of N − 1, and provides applications including a table of n-Kaprekar numbers for n up to 6. Additionally, it concludes that every even perfect number is a Kaprekar number in binary base.

Author

selvam P

Language

EN