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Many properties of a natural number n can be seen or directly computed from the prime factorization of n.. The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n.
List of numbers; List of prime numbers; List of mathematics articles (0–9) containing all mathematics articles starting with a number. List of natural number articles containing all natural number articles from 1 to 10,000, including red links.
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
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A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
The atomic number of the chemical element unbibium; The emergency telephone number in several countries; The number of men of Michmas at the census (Bible, Nehemiah 7:31); The Enroute Flight Advisory Service (EFAS) "Flight Watch" frequency: 122.0 MHz
305 is an odd composite number with two prime factors. [1] 305 is the convolution of the first 7 primes with themselves. [2] 305 is the fifth hexagonal prism number which is defined by (n+1)(3n 2 +3n+1). [3] 305 is the hypotenuse of two Pythagorean triples. 305 2 =207 2 +224 2 =136 2 +273 2. [4] [5]
113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is the smallest prime number before a prime gap of length 14. 113 is a Sophie Germain prime, [1] an emirp, an isolated prime, a Chen prime [2] and a Proth prime as it is a prime number of the form + 113 is also an Eisenstein prime with no imaginary part and real part of the form .