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Ω(n), the prime omega function, is the number of prime factors of n counted with multiplicity (so it is the sum of all prime factor multiplicities). A prime number has Ω( n ) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS ).
36 × 280 40 × 252 42 × 240: 45 × ... (a 22 to a 228) are factors with exponent equal to one (i.e. the number is ... Online Highly Composite Numbers Calculator;
This article gives a list of conversion factors for several physical quantities. ... ≡ 36 gal (imp) = 0.163 659 24 m 3: barrel (petroleum); archaic blue-barrel:
The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
This definition includes numbers that lack some of the smaller prime factors; for example, both 10 and 12 are 5-smooth, even though they miss out the prime factors 3 and 5, respectively. All 5-smooth numbers are of the form 2 a × 3 b × 5 c , where a , b and c are non-negative integers.
The same prime factor may occur more than once; this example has two copies of the prime factor When a prime occurs multiple times, exponentiation can be used to group together multiple copies of the same prime number: for example, in the second way of writing the product above, 5 2 {\displaystyle 5^{2}} denotes the square or second power of 5 ...
A number is divisible by a given divisor if it is divisible by the highest power of each of its prime factors. For example, to determine divisibility by 36, check divisibility by 4 and by 9. [6] Note that checking 3 and 12, or 2 and 18, would not be sufficient. A table of prime factors may be useful.
Is the sum of all the numbers on a roulette wheel (0 through 36). [19] This is a corollary of the fact that the number is a Triangular number, as mentioned earlier. Was a winning lottery number in the 1980 Pennsylvania Lottery scandal, in which equipment was tampered to favor a 4 or 6 as each of the three individual random digits. [21]