495 (number)

495

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

four hundred ninety-five

495th
(four hundred ninety-fifth)

3²× 5 × 11

CDXCV

111101111₂

200100₃

13233₄

3440₅

2143₆

757₈

353₁₂

1EF₁₆

14F₂₀

DR₃₆

495 is the integer after 494 and before 496. It is a pentatope number (and so a binomial coefficient ${\tbinom {12}{4}}$ ).

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

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

For example, choose 589:

The only three-digit numbers for which this function does not work are repdigits such as 111, which give the answer 0 after a single iteration. All other three-digits numbers work if leading zeros are used to keep the number of digits at 3:

The number 6174 has the same property for the four-digit numbers.

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