495 (number) - Kaprekar Transformation

Kaprekar Transformation

The Kaprekar transformation is defined as follows for three-digit numbers:

  1. Start with a three-digit number with at least two digits different.
  2. Arrange the digits in ascending and then in descending order to get two three-digit numbers, adding leading zeros if necessary.
  3. Subtract the smaller number from the bigger number.
  4. Go back to step 2.

Repeating this process will always reach 495 in a few steps. Once 495 is reached, the process stops because 954 – 459 = 495.

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