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Kaprekar Constant 495 for Three-digit Number

Dattatreya Ramchandra Kaprekar (D. R. Kaprekar; 1905 – 1986) was an Indian mathematician who discovered several classes of natural numbers including Kaprekar Constant. The number  495  is called Kaprekar Constant for three-digit number. Why is the number 495 called Kaprekar Constant? In 1949, D. R. Kaprekar discovered an interesting property of the number 495 through the mathematical calculations. D. R. Kaprekar observed that when any three-digit number of non-identical digits (not all digits are same) is arranged in two parts – highest number and lowest number, and difference is calculated using subtraction method, then the end-result will be always 495. If the process is continued even after getting the end-result 495, then the end-result will be always 495 at each Iteration, therefore the number 495 is known as Kaprekar Constant. Steps to Follow Take any three-digit number with different digits. Form the highest number and lowest number from this three-digit number. Fi...