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A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, 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 ...
6 is the second smallest composite number. [1] It is also the first number that is the sum of its proper divisors, making it the smallest perfect number. [2] 6 is the first unitary perfect number, since it is the sum of its positive proper unitary divisors, without including itself.
1729 is composite, meaning its factors are 1, 7, 13, 19, 91, 133, 247, and 1729. [1] It is the multiplication of its first three smallest prime numbers . [2] Relatedly, it is the third Carmichael number, [3] and specifically the first Chernick–Carmichael number.
The sequence of highly composite numbers (sequence A002182 in the OEIS) is a subset of the sequence of smallest numbers k with exactly n divisors (sequence A005179 in the OEIS). Highly composite numbers whose number of divisors is also a highly composite number are. 1, 2, 6, 12, 60, 360, 1260, 2520, 5040, 55440, 277200, 720720, 3603600 ...
The number x = 2 is most often used in this basic primality check, and n = 341 = 11 × 31 is notable since , and n = 341 is the smallest composite number for which x = 2 is a false witness to primality.
The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors (2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the subitizing range, and the smallest abundant number.
Here, the composite number 90 is made up of one atom of the prime number 2, two atoms of the prime number 3, and one atom of the prime number 5. This fact can be used to find the lcm of a set of numbers. Example: lcm(8,9,21) Factor each number and express it as a product of prime number powers.
Forty-eight is the double factorial of 6, [1] [2] a highly composite number. [3] Like all other multiples of 6, it is a semiperfect number. [4] 48 is the smallest non-trivial 17-gonal number. [5] 48 is the smallest number with exactly ten divisors, [6] and the first multiple of 12 not to be a sum of twin primes.