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When z is 1, the function is called the sigma function or sum-of-divisors function, [1] [3] and the subscript is often omitted, so σ(n) is the same as σ 1 (n) (OEIS: A000203). The aliquot sum s ( n ) of n is the sum of the proper divisors (that is, the divisors excluding n itself, OEIS : A001065 ), and equals σ 1 ( n ) − n ; the aliquot ...
Pages in category "Divisor function" The following 28 pages are in this category, out of 28 total. This list may not reflect recent changes. ...
a refactorable number, since 8 is one of its 8 divisors. The sum of the sums of the divisors of the first 8 positive integers. [4] A semiperfect number, since 56 is twice a perfect number. A partition number – the number of distinct ways 11 can be represented as the sum of natural numbers.
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.}
In number theory, the divisor summatory function is a function that is a sum over the divisor function. It frequently occurs in the study of the asymptotic behaviour of the Riemann zeta function . The various studies of the behaviour of the divisor function are sometimes called divisor problems .
Bahasa Melayu; မြန်မာဘာသာ ... Many arithmetic functions are defined using the canonical representation. ... is a divisor of , it must be also a ...
[1] [2] 126 is a sum of two cubes, and since 125 + 1 is σ 3 (5), 126 is the fifth value of the sum of cubed divisors function. [3] [4] 126 is the fifth -perfect Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such ...
More systematically and more efficiently, two integers can be divided with pencil and paper with the method of short division, if the divisor is small, or long division, if the divisor is larger. If the dividend has a fractional part (expressed as a decimal fraction ), one can continue the procedure past the ones place as far as desired.