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  2. Composite number - Wikipedia

    en.wikipedia.org/wiki/Composite_number

    A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has at least one divisor other than 1 and itself. [1] [2] Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit.

  3. 52 (number) - Wikipedia

    en.wikipedia.org/wiki/52_(number)

    with an aliquot sum of 46; within an aliquot sequence of seven composite numbers { 52, 46, 26, 16, 15, 9, 4, 3, 1, 0 } to the prime in the 3-aliquot tree. This sequence does not extend above 52 because it is, an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5 ...

  4. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    An integer is even if it is divisible by 2, and odd if it is not. [1] For example, −4, 0, and 82 are even numbers, while −3, 5, 7, and 21 are odd numbers. The above definition of parity applies only to integer numbers, hence it cannot be applied to numbers like 1/2 or 4.201.

  5. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Even and odd numbers: An integer is even if it is a multiple of 2, and is odd otherwise. Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...

  6. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    The odd permutations cannot form a subgroup, since the composite of two odd permutations is even, but they form a coset of A n (in S n). [ 5 ] If n > 1 , then there are just as many even permutations in S n as there are odd ones; [ 3 ] consequently, A n contains n ! /2 permutations.

  7. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    The product of two even functions is an even function. That implies that product of any number of even functions is an even function as well. The product of two odd functions is an even function. The product of an even function and an odd function is an odd function. The quotient of two even functions is an even function.

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  9. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    Highly composite numbers greater than 6 are also abundant numbers. One need only look at the three largest proper divisors of a particular highly composite number to ascertain this fact. It is false that all highly composite numbers are also Harshad numbers in base 10. The first highly composite number that is not a Harshad number is ...