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Mysterious Numbers 6174 and 495 (Kaprekar's Constant)

Kaprekar's constant is a mathematical concept named after Indian mathematician D.R. Kaprekar. It refers to a specific number, 6174, that can be derived through a specific process involving the digits of any four-digit number. To find Kaprekar's constant for a given four-digit number, you must first arrange the digits in ascending and descending order and subtract the smaller number from the larger. Then, repeat the process with the result until you arrive at the number 6174. This process is known as Kaprekar's routine. For example, if you start with the number 3524, the process would go as follows: 3524 - 2453 = 1071 7011 - 1170 = 5841 8541 - 1458 = 7083 8730 - 0378 = 8352 8532 - 2358 = 6174 Thus, 6174 is Kaprekar's constant for the number 3524. Kaprekar's constant has interesting properties and has been studied in the field of recreational mathematics.