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The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. ... 54: 2·3 3: ...
54 is an abundant number and a semiperfect number, like all other multiples of 6. [1] It is twice the third power of three, 3 3 + 3 3 = 54, and hence is a Leyland number. [2] 54 is the smallest number that can be written as the sum of three positive squares in more than two different ways: 72 + 22 + 12 = 62 + 32 + 32 = 52 + 52 + 22 = 54. [3] [4]
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:
The general relationship between absorbed dose and equivalent dose can be represented as. H = Q ⋅ D. where H is the equivalent dose, D is the absorbed dose, and Q is a dimensionless quality factor. Thus, for any quantity of D measured in Gy, the numerical value for H measured in Sv may be different.
Greatest common divisor. In mathematics, the greatest common divisor ( GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted . For example, the GCD of 8 and 12 is 4, that is, gcd (8, 12) = 4. [ 1][ 2]
The size of Africa compared to other continents. Africais the world's second-largest and second-most populous continentafter Asia. At about 30.3 million km2(11.7 million square miles) including adjacent islands, it covers 20% of Earth's land area and 6% of its total surface area.[7] With 1.4 billion people[1][2]as of 2021, it accounts for about ...
Euler's totient function is a multiplicative function, meaning that if two numbers m and n are relatively prime, then φ(mn) = φ(m)φ(n). [ 4][ 5] This function gives the order of the multiplicative group of integers modulo n (the group of units of the ring ). [ 6] It is also used for defining the RSA encryption system .
57 is the number of compositions of 10 into distinct parts. [10] 57 is the seventh fine number, equivalently the number of ordered rooted trees with seven nodes having root of even degree. [11] 57 is also the number of nodes in a regular octagon when all of its diagonals are drawn, [12] and the first non-trivial icosagonal (20-gonal) number. [13]