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495 (number)

Natural number


Natural number

FieldValue
number495

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:

  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.

References

fr:Nombres 400 à 499#495 ja:400#481 から 499

References

  1. [[Kaprekar's routine#CITEREFHanover2017. Hanover 2017]], p. 14, Operations.
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This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

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