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:
- Take any three-digit number, other than repdigits such as 111. Leading zeros are allowed.
- Arrange the digits in descending and then in ascending order to get two three-digit numbers, adding leading zeros if necessary.
- Subtract the smaller number from the bigger number.
- 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 â 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 â sequence of unarranged-digit numbers always ends with the number 1.
References