## Kaprekar's Constant for 3-Digit Numbers: 495

The Kaprekar transformation for three digits involving the number 495 is defined as follows:

1) Take any three-digit number with at least two digits different.2) Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary.

3) Subtract the smaller number from the bigger number.

4) Go back to Step #2.

The above operation will always reach 495 in a few steps where it stops there.

Once 495 is reached, the process will keep yielding 954 – 459 = 495.

The only three-digit numbers for which this function does not numbers whose digits are all identical (e.g., 222) as they yeild zero after a single iteration.Example #1:

100 yields:

100 – 001 = 099

990 – 099 = 891

981 – 189 = 792

972 – 279 = 693

963 – 369 = 594

954 – 459 = 495

Example #2:

912 yields:

921 – 129 = 792

972 – 279 = 693

963 – 369 = 594

954 – 459 = 495

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