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A positive divisor of that is different from is called a proper divisor or an aliquot part of (for example, the proper divisors of 6 are 1, 2, and 3). A number that does not evenly divide n {\displaystyle n} but leaves a remainder is sometimes called an aliquant part of n . {\displaystyle 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
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 ).
since n prime factors allow a sequence of binary selection (or 1) from n terms for each proper divisor formed. However, these are not in general the smallest numbers whose number of divisors is a power of two ; instead, the smallest such number may be obtained by multiplying together the first n Fermi–Dirac primes , prime powers whose ...
Last night, the actor defied the cold weather in New York City, stepping out in a pair of black leather micro shorts.
Equivalently, it is a number for which the sum of proper divisors (or aliquot sum) is less than n. For example, the proper divisors of 8 are 1, 2, and 4, and their sum is less than 8, so 8 is deficient. Denoting by σ(n) the sum of divisors, the value 2n – σ(n) is called the number's deficiency.
If you’ve got a little change left over from gift-shopping today, use it for lunch. On Dec. 16, McDonald’s announced on its website that it’s selling its Double Cheeseburger for only 50 ...
Supreme Court Chief Justice John Roberts slammed what he described as “dangerous” talk by some officials about ignoring federal court rulings, using an annual report weeks before President ...