# integer
## English
### Etymology

Borrowed from Latin integer (“whole”), from Proto-Italic *əntagros (“untouched”). Doublet of entier and entire. Related to English tact, thack, and thwack.

### Pronunciation

* enPR: ĭn'tĭjər
* (Received Pronunciation, General Australian) IPA: /ˈɪn.tɪ.d͡ʒə(ɹ)/
* (General American, Canada) IPA: /ˈɪn.(t)ə.d͡ʒɚ/, [ˈɪn.tʰə.d͡ʒɚ], [ˈɪn.ɾ̃ə.d͡ʒɚ]
* (Indic) IPA: /ˈɪn.ʈiː.d͡ʒə(ɾ)/ (spelling pronunciation), /ɪn.ʈɪ.d͡ʒə(ɾ)/
** Audio (US):(file)

### Noun

integer (plural integers)
* (arithmetic) A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.
** 1886, Leopold Kronecker, speech to the Berliner Naturforscher-Versammlung:God made the integers; all else is the work of man

#### Synonyms

* whole number, when understood to include negative numbers and zero.
* integral number

#### Hypernyms

* rational number
** real number
* Gaussian integer
** quadratic integer
*** algebraic integer
**** algebraic number

#### Hyponyms

* natural number
* zero

#### Derived terms

* Blum integer
* Cartan integer
* Eisenstein integer
* half-integer
* integer factorization
* long integer
* non-integer

#### Related terms

* integral
* integrate
* integrity

#### Further reading

* “integer”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC.
* William Dwight Whitney, Benjamin E[li] Smith, editors (1911), “integer”, in The Century Dictionary […], New York, N.Y.: The Century Co., →OCLC.

### References

* integer on Wikipedia.Wikipedia

### Anagrams

* greetin', teering, treeing

## Dutch
### Pronunciation

* Audio:(file)

### Adjective

integer (comparative integerder, superlative integerst)
* honest, trustworthy, having integrity

#### Declension
## German
### Pronunciation

* Audio (Austria):(file)
* Audio:(file)

### Adjective

integer (strong nominative masculine singular integerer, comparative integrer, superlative am integersten)
* with integrity, of integrity

#### Related terms

* Integrität

### Further reading

* “integer” in Duden online
* “integer” in Digitales Wörterbuch der deutschen Sprache

## Latin
### Etymology

From Proto-Italic *əntagros (“untouched”), from *teh₂g- (“to touch”), whence Latin tangō.

### Pronunciation

* (Classical Latin) IPA: /ˈin.te.ɡer/, [ˈɪn̪t̪ɛɡɛr]
* (modern Italianate Ecclesiastical) IPA: /ˈin.te.d͡ʒer/, [ˈin̪t̪ed͡ʒer]

### Adjective

integer (feminine integra, neuter integrum, comparative integrior, superlative integerrimus); first/second-declension adjective (nominative masculine singular in -er)
* complete, whole, intact, uninjured, sound, healthy
    Synonyms: incolumis, validus, sanus, salvus, saluber, sospes, intactus, sollus, innoxius
    Antonyms: aeger, miser, affectus, fessus, īnfirmus, languidus
    ab/de/ex integro ― from the start again, from the beginning
    ad integrum ― completely, at all

#### Declension

First/second-declension adjective (nominative masculine singular in -er).

#### Derived terms

* integellus
* integrātiō
* integrātor
* integrē
* integritās
* integritūdō
* integrō

#### Descendants

* Balkan Romance:
** Aromanian: ãntreg, ntreg
** Romanian: întreg
* Dalmatian:
** intric
* Italo-Romance:
** Corsican: intrévu
** Italian: intiero, intero
** Sicilian: nteru
* North Italian:
** Emilian: intre̢k
** Friulian: intîr
** Ladin: intríak, intríek
** Lombard: intreo (medieval), intre̢k
** Piedmontese: antrègh, antrí, antre̢tś, anter
** Romagnol: intègar
** Romansch: entir, inter
** Venetan: intier, intiero, intrego, intriego, intrech
* Gallo-Romance:
** Franco-Provençal: entiér
** Old French: entiere, entre
*** French: entier
*** Norman: entchi (Jersey)
*** Walloon: entier
*** → English: entire
* Occitano-Romance:
** Old Catalan: entegre, entregue
** Old Occitan: entier, enteir, entegre
*** Occitan: entièr
*** → Catalan: entir (regional)
* Ibero-Romance:
** Asturian: enteru
** Old Navarro-Aragonese: entreg
** Old Galician-Portuguese: enteiro, enteyro, entrego
*** Galician: enteiro, entergo, inteiro
*** Portuguese: inteiro (latinized prefix), entregue
** Old Spanish: entero, entrego, entegro
*** Spanish: entero
**** → Catalan: enter
* Insular Romance:
** Sardinian: interu, intreu (medieval)
* Borrowings:
** → Asturian: integru
** → Catalan: íntegre
** → English: integer
** → French: intègre
** → Galician: íntegro
** → Interlingua: integre
** → Italian: integro
** → Portuguese: íntegro
** → Romanian: integru
** → Spanish: íntegro

### References

* Walther von Wartburg (1928–2002) “ĭntĕger”, in Französisches Etymologisches Wörterbuch, volume 4: G H I, page 734
* Online Latin dictionary, Olivetti
* ↑ https://dictionnaire-general-occitan-francais.fandom.com/fr/wiki/Enti%C3%A8r
* ↑ “entir” in Diccionari català-valencià-balear, Antoni Maria Alcover and Francesc de Borja Moll, 1962.
* ↑ “enter” in Diccionari català-valencià-balear, Antoni Maria Alcover and Francesc de Borja Moll, 1962.

### Further reading

* “integer”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
* “integer”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
* integer in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
* Carl Meißner, Henry William Auden (1894) Latin Phrase-Book‎, London: Macmillan and Co. sound, unimpaired senses: sensus sani, integri, incorrupti it is no longer in my power: mihi non est integrum, ut... to leave the question open; to refuse to commit oneself: integrum (causam integram) sibi reservare to reinstate a person in his right: aliquem in integrum (vid. sect. V. 4, note The proper...) restituere an impartial witness: testis incorruptus atque integer to send fresh troops to take the place of those wearied with fighting: integros defatigatis summittere fresh troops relieve the tired men: integri et recentes defatigatis succedunt (ambiguous) to be in the prime of life: integra aetate esse (ambiguous) the matter is still undecided; it is an open question: res integra est (ambiguous) I have not yet committed myself: res mihi integra est
* integer in Ramminger, Johann (2016 July 16 (last accessed)) Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700‎, pre-publication website, 2005-2016

## Limburgish
### Alternative forms

* énnteeger (Eupen)

### Etymology

Borrowed from Latin integer.

### Adjective

integer (comparative integerder, superlative integers, predicative superlative 't integers)
* friendly
* complete, whole, intact

#### Usage notes

Unlike in Dutch, it is not used in the meaning of honest or trustworthy.