KnowraDivisor functionLinked fromLinked fromThe 11 pages that link to Divisor function, each with the reason it gives.All 11Broader topic 3Related 7Narrower topic 1Fundamental theorem of arithmeticRelated: A number's prime exponents determine its number and sum of positive divisors.Euler's totient functionRelated: The identity ∑_{d|n} φ(d) = n connects totients to divisor sums.Möbius functionRelated: The Möbius function's divisor sums produce identities used in inversion.Perfect numberRelated: A number is perfect exactly when its divisor sum is twice the number.Euclid–Euler theoremRelated: The sum-of-divisors function verifies that each number in the theorem's formula is perfect.Highly composite numberRelated: Highly composite numbers are precisely the integers that establish successive records for this function.Aliquot sumRelated: The sum-of-divisors function gives the aliquot sum after subtracting the integer.