# 495 (number)

 ← 494 495 496 →
Cardinal four hundred ninety-five
Ordinal 495th
(four hundred ninety-fifth)
Factorization 32× 5 × 11
Greek numeral ΥϞΕ´
Roman numeral CDXCV
Binary 1111011112
Ternary 2001003
Quaternary 132334
Quinary 34405
Senary 21436
Octal 7578
Duodecimal 35312
Vigesimal 14F20
Base 36 DR36

495 (four hundred [and] ninety-five) is the natural number following 494 and preceding 496. It is a pentatope number[1] (and so a binomial coefficient ${\displaystyle {\tbinom {12}{4}}}$).

## Kaprekar transformation

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

1. Start with a three-digit number with at least two digits different.
2. Arrange the digits in ascending and then in descending 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.

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

### Example

For example, choose 589:

985 − 589 = 396
963 − 369 = 594
954 − 459 = 495

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:

211 – 112 = 099
990 – 099 = 891 (rather than 99 - 99 = 0)
981 – 189 = 792
972 – 279 = 693
963 – 369 = 594
954 − 459 = 495

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