In mathematics, an aliquot part (or simply aliquot) of an integer is any of its integer divisors. For instance, 2 is an aliquot of 12. The sum of all the aliquots of an integer n is the value σ(n) of the divisor function σ at n. Euclid, a famous Greek mathematician known as the father of geometry, is shown here in detail from The School of Athens by Raphael. ... The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. ... In mathematics, a divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder. ... 2 (two) is a number, numeral, and glyph. ... 12 (twelve) is the natural number following 11 and preceding 13. ... In mathematics, and specifically in number theory, a divisor function is an arithmetical function related to the divisors of an integer. ...

In chemistry, an aliquot is usually a portion of a total amount of a solution. Chemistry (from the Greek word χημεία (chemeia) meaning cast together or pour together) is the science of matter at the atomic to molecular scale, dealing primarily with collections of atoms (such as molecules, crystals, and metals). ...

The word is formed of the Latin aliquoties, "several times". Latin was the language originally spoken in the region around Rome called Latium. ...

See also

• Aliquot stringing
• aliquant
• aliquot sequence
• amicable number

Aliquot stringing is the use of extra unstruck strings in the piano for the purpose of enriching the tone. ... An aliquant part (or simply aliquant) is an integer that is not an exact divisor of a given quantity. ... In mathematics, an aliquot sequence is a recursive sequence which can be defined in the following way: if we write σ(n) = σ1(n) to be the divisor function normally, then, the aliquot sequence of k can be written: s0 = k sn = σ(sn−1) − sn−1 For example, the aliquot sequence... Amicable numbers are two numbers so related that the sum of the proper divisors of the one is equal to the other, unity being considered as a proper divisor but not the number itself. ...

External link

• Aliquot Game at cut-the-knot