495 (number)

Natural number From Wikipedia, the free encyclopedia

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

Cardinalfour hundred ninety-five
Ordinal495th
(four hundred ninety-fifth)
Factorization32 × 5 × 11
Quick facts ← 494 495 496 →, Cardinal ...
494 495 496
Cardinalfour hundred ninety-five
Ordinal495th
(four hundred ninety-fifth)
Factorization32 × 5 × 11
Greek numeralΥϞΕ´
Roman numeralCDXCV, cdxcv
Binary1111011112
Ternary2001003
Senary21436
Octal7578
Duodecimal35312
Hexadecimal1EF16
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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.[1]

See also

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

References

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