Hunting for Kaprekar constants

This research article mainly focuses on Kaprekar constants named after Indian recreational mathematician Dattatreya Ramchandra Kaprekar. Kaprekar invented a mysterious property of the number 6174 in 1949. He depicted that the number 6174 is reached in the limit as one continuously subtract the smallest number from the largest number where these numbers are taken from a set of four digited numbers in which all four digits are not identical. The main task of this paper is to propose an analytical method for searching Kaprekar constants. In this research the 3-digited Kaprekar constant 495 is traced. The mystery behind the magic of the numbers 495and 6174 respectively known as three and four digit Kaprekar constants has been chased here and the authors proposed a path by which one can hunt the Kaprekar constants of any order.