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...}}</ref><ref>{{Cite web|last=Weisstein|first=Eric W.|title=Greatest Common Divisor|url=https://mathworld.wolfram.com/GreatestCommonDivisor.html|access-date=20 ...sitive integers can be defined as a [[recursive]] [[function (mathematics)|function]]: <math> ...

...the [[sum]] of every [[Positive number|positive]] [[Division (mathematics)|divisor]] of that number. {{Divisor classes}} ...

[[File:Sigma_function.svg|right|thumb|Sigma function σ₁(''n'') up to ''n''&nbsp;=&nbsp;250]] ...han]] 0. ''k'' a number [[greater than]] 1 and σ is the [[sum]] of every [[divisor]] that the number has.<ref>K. Briggs, "Abundant Numbers and the Riemann Hyp ...

...20|website=www.mathsisfun.com}}</ref> In which case, the [[greatest common divisor]] ('''GCD''', or '''highest common factor''') of these numbers is 1.<ref na * [[Euler's totient function]] ...

...reason, mathematicians have defined a [[Function (mathematics)|relation]] (function) that tells, how many copies of a certain type of item there are in a certa ...a number ''n''. Here, the underlying set of elements is the set of prime [[divisor]]s of ''n''. For example, the number ''120'' has the [[factorisation|prime ...

In mathematics, a '''root of a function''' ''f'' is a number x that turns the value of ''f'' to 0: ...: P(x) = <math> x^2 + 2x + 1 </math>, we can see that the root should be a divisor of 1 meaning it is 1 or -1, after we check the 2 options we can see that t ...

...gotten by [[multiplying]] two numbers. These two numbers are called its [[Divisor|divisors]]. Any natural number is equal to one times the number itself, so ...omposite number, but it is also not a prime number because it only has one divisor which is one.<ref name=":0">{{Cite web|last=C|first=Mohamed|title=Is 1 a pr ...

A [[number]] is called a '''perfect number''' if by adding all the positive [[divisor]]s of the number (except itself), the result is the number itself. ...0^{e_0} p_1^{e_1} ...p_r^{e_r}</math> be odd perfect number. Since divisor function is multiplicative, ...

...r''' in math (also called ''anti-prime'') is a [[real number]] with more [[divisor]]s than any [[real number]] smaller than it. ...a good number of [[Citizenship|citizens]] in a [[city]] as 5040 has more [[divisor]]s than any numbers less than it.<ref>{{citation|first=Jean-Pierre|last=Kah ...

In [[mathematics]], an '''operation''' is a [[Function (mathematics)|function]] which takes one or more inputs (named [[operand]]s) and produces an outpu ...being divided is the ''dividend'' and the number it is divided by is the ''divisor''. The number on top of a fraction is named the ''numerator'' and the numbe ...

...one-way function]] that is easy to compute; but finding a way to [[Inverse function|reverse]] it, or computing the reverse is very hard. ...n <math>1</math>: <math>\gcd(e, \phi(n)) = 1</math>; See [[greatest common divisor]]. ...

| divisor = all numbers except itself ==Zeroes of a function== ...

...uch as [[square root]]s, [[exponential]]s, logarithms, and [[trigonometric function]]s. ...value on a multiplier scale), [[natural logarithm]] (ln) and [[exponential function|exponential]] (''e^x'') scales. Some rules include a [[Pythagora ...