495 (number)

Template:Short description Template:Infobox number 495 (four hundred [and] ninety-five) is the natural number following 494 and preceding 496.

Mathematics

The Kaprekar's routine algorithm is defined as follows for three-digit numbers:

1. Take any three-digit number, other than repdigits such as 111. Leading zeros are allowed.
2. Arrange the digits in descending and then in ascending 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 and repeat.

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

The number 6174 has the same property for the four-digit numbers, albeit has a much greater percentage of workable numbers.

See also

• Collatz conjecture — sequence of unarranged-digit numbers always ends with the number 1.