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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. Only five such numbers are known to exist.
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 ...
[28] [29] As of September 2022, the Mersenne number M 1277 is the smallest composite Mersenne number with no known factors; it has no prime factors below 2 68, [30] and is very unlikely to have any factors below 10 65 (~2 216). [31] The table below shows factorizations for the first 20 composite Mersenne numbers (sequence A244453 in the OEIS).
25011 = the smallest composite number, ending in 1, 3, 7, or 9, that in base 10 remains composite after any insertion of a digit; 25085 = Zeisel number [18] 25117 = cuban prime [14] 25200 = 224th triangular number, 24th highly composite number, [21] smallest number with exactly 90 factors [3] 25205 = largest number whose factorial is less than ...
Kurtz et al. found no overlap between the odd pseudoprimes for the two sequences below 50∙10 9 and supposed that 2,277,740,968,903 = 1067179 ∙ 2134357 is the smallest composite number to pass both tests. [24]
The differences between the terms are 2, 4, 6, 8, 10... For n = 40, it produces a square number, 1681, which is equal to 41 × 41, the smallest composite number for this formula for n ≥ 0. If 41 divides n, it divides P(n) too. Furthermore, since P(n) can be written as n(n + 1) + 41, if 41 divides n + 1 instead, it also divides P(n).
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.
120 (number) says it is the "smallest highly composite number", but the OEIS contradicts this. Is there any definition of "highly composite number" that would make this true? Batrachoseps 02:29, 11 September 2024 (UTC) It is specifically called the smallest highly composite number not adjacent to any prime. This is a true statement, if perhaps ...