495 (four hundred [and] ninety-five) is the natural number following 494 and preceding 496.
Mathematics It is a composite number, with the divisors being 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495. It is a generalized pentagonal number.
Kaprekar's routine 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 – 459 = 495.
The number 6174 has the same property for the four-digit numbers, albeit has a much greater percentage of workable numbers.Hanover 2017, p. 14, Operations.
See also Collatz conjecture — sequence of unarranged-digit numbers always ends with the number 1.
References
Sources
fr:Nombres 400 à 499#495 ja:400#481 から 499