Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.

* Amicable numbers are featured in the novel The Professor's Beloved Equation by Yoko Ogawa, and in the Japanese film based on it.

* Amicable numbers are featured briefly in the novel The Stranger House by Reginald Hill.

# REDIRECT Amicable numbers

# REDIRECT Amicable numbers # Thâbit ibn Kurrah rule.

# REDIRECT Amicable numbers # Thâbit ibn Kurrah rule

# REDIRECT Amicable numbers # Euler's rule.

Amicable relations were also reported by the local merchants of French-Canadian descent and the Somali storekeepers.

Amicable letters, sumptuous gifts, and letters asking for sumptuous gifts were exchanged.

Charles Cotesworth Beaman, Sr. ( May 7, 1840 – December 15, 1900 ) was an American lawyer who wrote The National and Private Alabama Claims and their Final and Amicable Settlement ( 1871 ).

** Scope of Amicable Dealings with Non-Muslims 17 September 2006

Prior to his election to the UK Parliament in 1997, Swinney was employed as Strategic Planning Principal with Scottish Amicable and was a business and economic development consultant for five years.

Swinney was a research officer for the Scottish Coal Project ( 1987 – 1988 ), a senior management consultant with Development Options ( 1988 – 1992 ), and a strategic planning principal with Scottish Amicable ( 1992 – 1997 ).

* Amicable dispute resolution offers a framework for the settlement of disputes with the assistance of a neutral.

Particularly notable examples included Freeth's Coffee House, one of the most celebrated meeting places of Georgian England ; Ketley's Building Society, the world's first building society, founded at the Golden Cross in Snow Hill in 1775 ; the Birmingham Book Club, whose radical politics saw it nicknamed the " Jacobin Club ", and which alongside other debating societies such as the Birmingham Free Debating Society and the Amicable Debating Society played a prominent role in the growing expression of popular political consciousness within the town ; and the more conservative Birmingham Bean Club, a dining club uniting leading loyalist figures in the town with prominent landowners from the surrounding counties, which played a prominent role in the emergence of a distinct " Birmingham interest " in regional politics from 1774.

During the reign of Henry VIII, Lavenham was the scene of serious resistance to Wolsey ’ s ‘ Amicable Grant ’, a tax being raised in England to pay for war with France.

The seven-storey building became utilised by the Halifax and Chelsea building societies, the AGF and Scottish Amicable insurance companies, and the German consulate.

Elgin has held a number of business appointments, including as President of the Scottish Amicable Life Assurance Society ( 1975 – 1994 ), and Chairman of the National Savings Committee for Scotland.

He was architect and surveyor to the Amicable Society, and to the West of England Fire and Life Insurance Office.

They were in a fight, outweighed in both numbers and money.

From 1 July 1958 to 30 June 1960, 24 numbers of the Journal and nine of the Bulletin were published.

These amendments to the Vocational Rehabilitation Act were designed to help provide for more specialized rehabilitation facilities, for more sheltered and `` half-way '' workshops, for greater numbers of adequately trained personnel, for more comprehensive services to individuals ( particularly to the homebound and the blind ), and for other administrative improvements to increase the program's overall effectiveness.

Some of the sinusoids contained large numbers of nucleated red cells, and cells of the granulocytic series were found in small numbers.

The cells of the erythroid, myeloid, and megakaryocytic series were normal except for their numbers.

Incidentally, it needs to be noted that because auditors were permitted the section began increasing in numbers each week, until at last it swelled to such proportions that this `` free '' auditing policy had to be retracted.

and in this square, the respective pairs made up of large and small odd ( Yang ) numbers, and those composed of large and small even ( Yin ) numbers, were all equal to each other.

We have already seen that odd numbers were considered as being Yang, while the even numbers were Yin, so that the eight outer numbers of the Lo Shu represented these two principles in balanced equilibrium around the axial center.

Studies of membership trends, even in some areas where population is expanding, show that numbers of churches have had little net increase, though many new members were received.

It is not simply giving a repetition of the program it gave during its New York engagement earlier this season, but has brought back many of the numbers that were on the bill when it paid us its first visit and won everybody's heart.

" The Republicans gained majorities in both House and Senate for the first time since Democrats in the 1856 elections, they were to be seated in numbers which Lincoln might use to govern, a national parliamentary majority even before pro-slavery House and Senate seats vacated.

Isotopes were then explained as elements with the same number of protons, but different numbers of neutrons within the nucleus.

The expectation of obtaining these sinecures drew young men towards the church in considerable numbers, and the class of abbés so formed — abbés de cour they were sometimes called, and sometimes ( ironically ) abbés de sainte espérance, ( abbés of holy hope ; or the pun, of St. Hope )— came to hold a recognized position.

Three different types of punch cards were used: one for arithmetical operations, one for numerical constants, and one for load and store operations, transferring numbers from the store to the arithmetical unit or back.

Intermediate results were binary, written onto paper sheets by electrostatically modifying the resistance at 1500 locations to represent 30 of the 50 bit numbers ( one equation ).

Reindeer, upon which the local inhabitants subsisted, were once found in considerable numbers, but the domestic reindeer population has collapsed dramatically since the reorganization and privatization of state-run collective farms beginning in 1992.

Alaric's wife was reportedly taken prisoner after this battle ; it is not unreasonable to suppose that he and his troops were hampered by the presence of large numbers of women and children, which gave his invasion of Italy the character of a human migration.

At Athens some citizens were far more active than others, but the vast numbers required just for the system to work testify to a breadth of participation among those eligible that greatly surpassed any present day democracy.

The numbers of species cited above follow Frost and the total number of known amphibian species is approximately 7, 000, of which nearly 90 % are frogs.

Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers.

In practice, this mode of decay has only been observed in nuclides considerably heavier than nickel, with the lightest known alpha emitter being the lightest isotopes ( mass numbers 106 – 110 ) of tellurium ( element 52 ).

Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers.

Fermat and Descartes also rediscovered pairs of amicable numbers known to Arab mathematicians.

While these rules do generate some pairs of amicable numbers, many other pairs are known, so these rules are by no means comprehensive.

Numbers of the form 3 × 2 < sup > n </ sup > − 1 are known as Thabit numbers.

In every known case, the numbers of a pair are either both even or both odd.

It is not known whether an even-odd pair of amicable numbers exists, but if it does, the even number must either be a square number or twice one, and the odd number must be a square number.

It is not known whether a pair of coprime amicable numbers exists, though if any does, the product of the two must be greater than 10 < sup > 67 </ sup >.

In West Asia and the Eastern Mediterranean early copper zinc alloys are now known in small numbers from a number of third Millennium BC sites in the Aegean, Iraq, the United Arab Emirates, Kalmykia, Turkmenistan and Georgia and from 2nd Millennium BC sites in West India, Uzbekistan, Iran, Syria, Iraq and Israel.

While most casts have five toes — like all known apes — some casts of alleged Bigfoot tracks have had numbers ranging from two to six.

By now the rebel forces were said to have numbered 230, 000, however, this number should be treated with scepticism — Dio's account is known only from a late epitome, and ancient sources commonly exaggerate enemy numbers.

The notation was introduced by Andreas von Ettingshausen in 1826, although the numbers were already known centuries before that ( see Pascal's triangle ).

If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).

Unfortunately in the literature the definition is given in two variants: Despite the fact that Bernoulli defined B < sub > 1 </ sub > = 1 / 2 ( now known as " second Bernoulli numbers "), some authors set B < sub > 1 </ sub > = − 1 / 2 (" first Bernoulli numbers ").

" The cars were subsequently known as Brabhams, with type numbers starting with BT for " Brabham Tauranac ".

Carbon atoms may have different numbers of neutrons ; atoms of the same element having different numbers of neutrons are known as isotopes of the element.

Since the mass numbers of these are 12, 13 and 14 respectively, the three isotopes of carbon are known as carbon-12, carbon-13, and carbon-14, often abbreviated to < sup > 12 </ sup > C, < sup > 13 </ sup > C, and < sup > 14 </ sup > C.