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m is a divisor of n (also called m divides n, or n is divisible by m) if all prime factors of m have at least the same multiplicity in n. The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime factors). The number of divisors can be computed by increasing all multiplicities by 1 and then ...
The entry 4+2i = −i(1+i) 2 (2+i), for example, could also be written as 4+2i= (1+i) 2 (1−2i). The entries in the table resolve this ambiguity by the following convention: the factors are primes in the right complex half plane with absolute value of the real part larger than or equal to the absolute value of the imaginary part.
117 is the smallest possible length of the longest edge of an integer Heronian tetrahedron (a tetrahedron whose edge lengths, face areas and volume are all integers). Its other edge lengths are 51, 52, 53, 80 and 84. [1] 117 is a pentagonal number. [2] [3]
For n ≥ 2, a(n) is the prime that is finally reached when you start with n, concatenate its prime factors (A037276) and repeat until a prime is reached; a(n) = −1 if no prime is ever reached. A037274: Undulating numbers: 101, 121, 131, 141, 151, 161, 171, 181, 191, 202, ... A number that has the digit form ababab. A046075: Equidigital numbers
For example, if n = 171 × p × q where p < q are very large primes, trial division will quickly produce the factors 3 and 19 but will take p divisions to find the next factor. As a contrasting example, if n is the product of the primes 13729, 1372933, and 18848997161, where 13729 × 1372933 = 18848997157, Fermat's factorization method will ...
With matching suede gloves and heels, the then-46-year-old wore a powder-blue turtlenecked cropped jacket with an up do. The price of the dress was never disclosed.
For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). ... 117 abundant, composite 101 to 200. n Divisors d(n) σ(n) s(n) Notes ...
Michigan has feasted on former Pac-12 schools to fatten its Big Ten record. The 20th-ranked Wolverines begin playing more traditional conference opponents on Thursday when they visit Minneapolis ...