495 (number)
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495 (number)
495 (four hundred ndninety-five) is the natural number following 494 and preceding 496. It is a pentatope number (and so a binomial coefficient \tbinom 4 ). The maximal number of pieces that can be obtained by cutting an annulus with 30 cuts. Kaprekar transformation 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. Example For example, choose 495: :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 ...
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Natural Number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal numbers'', and numbers used for ordering are called ''ordinal numbers''. Natural numbers are sometimes used as labels, known as '' nominal numbers'', having none of the properties of numbers in a mathematical sense (e.g. sports jersey numbers). Some definitions, including the standard ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with , corresponding to the positive integers Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, while in other writings, that term is used instead for the integers (including negative integers). The natural numbers form a set. Many other number sets are built by succ ...
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