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Every composite number can be written as the product of two or more (not necessarily distinct) primes. [2] For example, the composite number 299 can be written as 13 × 23, and the composite number 360 can be written as 2 3 × 3 2 × 5; furthermore, this representation is unique up to the order of the factors.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
Demonstration, with Cuisenaire rods, of the first four highly composite numbers: 1, 2, 4, 6. A highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive integer n, then a positive integer N is highly composite if d(N) > d(n) for all n < N.
360 is divisible by the number of its divisors , and it is the smallest number divisible by every natural number from 1 to 10, except 7. Furthermore, one of the divisors of 360 is 72, which is the number of primes below it. 360 is the sum of twin primes (179 + 181) and the sum of four consecutive powers of three (9 + 27 + 81 + 243).
60 is the 4th superior highly composite number, [1] the 4th colossally abundant number, [2] the 9th highly composite number, [3] a unitary perfect number, [4] and an abundant number. It is the smallest number divisible by the numbers 1 to 6. The smallest group that is not a solvable is the alternating group A 5, which has 60 elements.
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.
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256 is a composite number, with the factorization 256 = 2 8, which makes it a power of two. 256 is 4 raised to the 4th power, so in tetration notation, 256 is 2 4. [1] 256 is the value of the expression , where =. 256 is a perfect square (16 2). 256 is the only 3-digit number that is zenzizenzizenzic.