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24 is an even composite number, a highly composite number, an abundant number, a practical number, and a congruent number. 24 is also part of the only nontrivial solution pair to the cannonball problem, [1] and the kissing number in 4-dimensional space. An icositetragon is a regular polygon with 24 sides. A tesseract has 24 two-dimensional ...
The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k). m is smoother than n if the largest prime factor of m is below the largest of n.
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
24 p − 1 ≡ 1 (mod p 2): 5, 25633 ... Table of prime factors; Wieferich pair; References External links. All prime numbers from 31 to 6,469,693,189 for ...
24 × 420 28 × 360: 30 × 336 32 ... th successive prime number, and all omitted terms (a 22 to a 228) are factors with exponent equal to one (i.e. the number is ...
If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:
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The divisors of 10 illustrated with Cuisenaire rods: 1, 2, 5, and 10. In mathematics, a divisor of an integer , also called a factor of , is an integer that may be multiplied by some integer to produce . [1] In this case, one also says that is a multiple of .