@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q837314 rdfs:label "حدسية كولاتز"@ar,
        "কোলাৎজ অনুমান"@bn,
        "Conjectura de Collatz"@ca,
        "Collatzův problém"@cs,
        "Collatz-formodningen"@da,
        "Collatz-Problem"@de,
        "Εικασία του Κόλατζ"@el,
        "Collatz conjecture"@en,
        "Collatz conjecture"@en-ca,
        "Collatz conjecture"@en-gb,
        "konjekto de Collatz"@eo,
        "conjetura de Collatz"@es,
        "Collatz aieru"@eu,
        "حدس کولاتز"@fa,
        "Collatzin konjektuuri"@fi,
        "conjecture de Syracuse"@fr,
        "השערת קולץ"@he,
        "कोलाज अटकल"@hi,
        "Konjekti Sirakiz"@ht,
        "Collatz-sejtés"@hu,
        "Konjektur Collatz"@id,
        "Tilgáta Collatz"@is,
        "congettura di Collatz"@it,
        "コラッツの問題"@ja,
        "Коллатц гипотезасы"@kk,
        "콜라츠 추측"@ko,
        "Congettura de Collatz"@lmo,
        "Kolaca hipotēze"@lv,
        "考拉茲猜想"@lzh,
        "Collatz' formodning"@nb,
        "Vermoeden van Collatz"@nl,
        "problem Collatza"@pl,
        "conjectura de Collatz"@pt,
        "conjectura de Collatz"@pt-br,
        "Гипотеза Коллатца"@ru,
        "Collatzova domneva"@sl,
        "Колацова хипотеза"@sr,
        "Collatz problem"@sv,
        "Collatz sanısı"@tr,
        "Гіпотеза Коллатца"@uk,
        "Phỏng đoán Collatz"@vi,
        "Collatz猜想"@yue,
        "考拉兹猜想"@zh,
        "考拉兹猜想"@zh-hans,
        "考拉茲猜想"@zh-hant,
        "考拉茲猜想"@zh-hk ;
    schema1:dateModified "2026-09-27T16:19:12+00:00"^^xsd:dateTime ;
    schema1:description "(حدسية 3n+1) معضلة رياضية بدون حل"@ar,
        "matematický problém"@cs,
        "Vermutung in der Mathematik"@de,
        "conjecture in mathematics that concerns sequences"@en,
        "conjecture in mathematics"@en-ca,
        "conjecture in mathematics"@en-gb,
        "la matematika konjekto ke, se oni difinas vicon, kies unua termo estas ajna entjero n kaj kies (k+1)-a termo estas aŭ duono de la k-a termo (se tiu estas para) aŭ unu plus trioblo de la k-a termino (se tiu estas malpara), do la difino ĉiam enhavas 1"@eo,
        "conjetura matemática"@es,
        "حدسی در ریاضیات"@fa,
        "matemaattinen väittämä"@fi,
        "hypothèse mathématique"@fr,
        "konjekti matematik"@ht,
        "matematikai probléma"@hu,
        "congettura matematica irrisolta"@it,
        "「あらゆる正の整数に対して\"偶数の際2で割り奇数の際3を掛け1を足す\"を有限回繰り返せば必ず1に到達するか?」と言う数論の未解決問題"@ja,
        "математикадағы тізбектерге қатысты болжам"@kk,
        "정수에 특정 연산을 무한히 하면 모든 수가 1로 진행한다는 추측"@ko,
        "onbewezen wiskundige stelling"@nl,
        "nierozstrzygnięte zagadnienie arytmetyczne"@pl,
        "problema de matemática"@pt,
        "математическая гипотеза, одна из нерешённых проблем математики"@ru,
        "nerešena domneva v matematiki"@sl,
        "olöst problem inom talteorin"@sv ;
    schema1:version 2550089116 ;
    wikibase:identifiers 14 ;
    wikibase:sitelinks 43 ;
    wikibase:statements 32 ;
    skos:altLabel "حدسية سيراكوز"@ar,
        "حدسية سيراكيز"@ar,
        "حدسية كاكوتاني"@ar,
        "حدسيه كولاتز"@ar,
        "Algorisme de Hasse"@ca,
        "Conjectura 3n+1"@ca,
        "Conjectura d'Ulam"@ca,
        "Conjectura de Thwaites"@ca,
        "Hipòtesi de Collatz"@ca,
        "Problema de Collatz"@ca,
        "Problema de Hailstone"@ca,
        "Problema de Kakutani"@ca,
        "Problema de Syracuse"@ca,
        "Successió d'Ulam"@ca,
        "3n+1 problém"@cs,
        "Hassův algoritmus"@cs,
        "Kakutanův problém"@cs,
        "Syrakuský problém"@cs,
        "Thwaitův problém"@cs,
        "Ulamův problém"@cs,
        "posloupnost ledové kroupy"@cs,
        "(3n+1)-formodningen"@da,
        "(3n+1)-problemet"@da,
        "Collatz formodning"@da,
        "Collatz' formodning"@da,
        "Collatz-problemet"@da,
        "(3n+1)-Vermutung"@de,
        "3n+1"@de,
        "3n+1 Vermutung"@de,
        "Achterbahnzahlen"@de,
        "Collatz'sche Vermutung"@de,
        "Collatz-Algorithmus"@de,
        "Collatz-Folge"@de,
        "Collatz-Funktion"@de,
        "Collatz-Vermutung"@de,
        "Collatzalgorithmus"@de,
        "Collatzfolge"@de,
        "Collatzsche Vermutung"@de,
        "Collatz’sche Vermutung"@de,
        "Syracuse-Vermutung"@de,
        "Ulam-Funktion"@de,
        "Ulam-Vermutung"@de,
        "3n+1 conjecture"@en,
        "3x+1 problem"@en,
        "Hailstone problem"@en,
        "Hasse's algorithm"@en,
        "Kakutani's problem"@en,
        "Syracuse problem"@en,
        "Thwaites conjecture"@en,
        "Ulam conjecture"@en,
        "3n+1 conjecture"@en-ca,
        "3n+1 conjecture"@en-gb,
        "3n+1"@es,
        "3x+1"@es,
        "conjetura 3n+1"@es,
        "conjetura 3x + 1"@es,
        "conjetura de Thwaites"@es,
        "hipotesis de Collatz"@es,
        "problema 3n + 1"@es,
        "problema 3n+1"@es,
        "problema 3x + 1"@es,
        "problema 3x+1"@es,
        "problema de Collatz"@es,
        "problema de Siracusa"@es,
        "problema de Ulam"@es,
        "sucesion de Ulam"@es,
        "sucesión de Ulam"@es,
        "حدس 3n+1"@fa,
        "حدس ۳n+۱"@fa,
        "conjecture d'Ulam"@fr,
        "conjecture de Collatz"@fr,
        "conjecture tchèque"@fr,
        "problème 3n+1"@fr,
        "problème 3x+1"@fr,
        "problème de Collatz"@fr,
        "problème de Syracuse"@fr,
        "suite de Syracuse"@fr,
        "השערת אולם"@he,
        "congettura 3n + 1"@it,
        "congettura di Ulam"@it,
        "sequenza di Hailstone"@it,
        "3n+1問題"@ja,
        "コラッツの予想"@ja,
        "コラッツ予想"@ja,
        "シラキュース問題"@ja,
        "角谷の予想"@ja,
        "角谷の問題"@ja,
        "3n+1"@kk,
        "3n+1 гипотезасы"@kk,
        "3x+1"@kk,
        "Коллатц гипотезасы"@kk,
        "Сиракуз проблемасы"@kk,
        "우박수"@ko,
        "3n+1"@pt,
        "Hipótese de Collatz"@pt,
        "3n+1"@ru,
        "3x+1"@ru,
        "Гипотеза 3n+1"@ru,
        "Гипотеза 3x+1"@ru,
        "Проблема 3n+1"@ru,
        "Проблема 3x+1"@ru,
        "Проблема Коллатца"@ru,
        "Сиракузская последовательность"@ru,
        "Сиракузская проблема"@ru,
        "Числа-градины"@ru,
        "Число-градина"@ru,
        "Collatz antagande"@sv,
        "Collatz förmodan"@sv,
        "Collatz' problem"@sv,
        "Collatz sayıları"@tr,
        "3n+1猜想"@zh,
        "3n＋1猜想"@zh,
        "3x+1"@zh,
        "乌拉姆猜想"@zh,
        "冰雹猜想"@zh,
        "叙拉古猜想"@zh,
        "哈塞猜想"@zh,
        "奇偶歸一猜想"@zh,
        "敘拉古猜想"@zh,
        "烏拉姆猜想"@zh,
        "科拉茨猜想"@zh,
        "角谷猜想"@zh ;
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    p:P1269 wds:Q837314-4c6861c5-431c-e8b1-3937-22f71b69caa6 ;
    p:P12800 wds:Q837314-D1A8111D-1AA1-40F5-82E0-80BE63960633 ;
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        wds:q837314-8E63736C-CA10-490C-81BC-8D7DC9B04148 ;
    p:P18 wds:Q837314-054360fc-400b-eba3-2af9-3744eea1e182,
        wds:Q837314-eb519834-4778-e4a5-9e2b-cee3a4ee401a ;
    p:P227 wds:Q837314-56D8FD68-D894-4974-8E01-73706AE28F90 ;
    p:P2534 wds:Q837314-9ebb65fd-4387-deb3-1a65-695feb7b1496 ;
    p:P2812 wds:Q837314-4D036592-5E0C-41F7-8637-2C95D96072D9 ;
    p:P31 wds:Q837314-75a71c61-48cf-12c0-bc83-d6003da7a43a ;
    p:P3417 wds:Q837314-9020DC94-A7F9-40E6-90AD-3D1E984EF870 ;
    p:P361 wds:Q837314-3977f045-4b1b-f56e-128a-1189983dec4d,
        wds:Q837314-f015bff8-4a97-14db-e6a8-e55f2a5253a8 ;
    p:P373 wds:Q837314-7510DCA8-88D1-42D5-9674-62A3C3E7D2C0 ;
    p:P5106 wds:Q837314-0930E8E2-E343-48F2-9B91-2005C78FB464 ;
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    p:P61 wds:Q837314-077f64f0-46d4-75f4-eab8-9f8a8474e505 ;
    p:P6104 wds:Q837314-B4073D4F-79CB-4DBE-B712-90E538CDEF0D ;
    p:P6366 wds:Q837314-E3B686E1-5DD1-4D51-B87B-462DCBDF34B2 ;
    p:P646 wds:Q837314-BEC5CA02-0D29-479E-86DA-30E263EC3A2D ;
    p:P6781 wds:Q837314-f18fcdb2-4436-1298-bd5a-c125aff25a53 ;
    p:P6900 wds:Q837314-bf93c331-4e17-9c26-80ea-190adf0da5a4 ;
    p:P8885 wds:Q837314-5abcfd52-431a-ef46-fe18-871b7bc2a526 ;
    p:P921 wds:Q837314-23a59f32-45d4-dfc1-8463-23823cd94dc2 ;
    p:P9621 wds:Q837314-b721a02b-4fe1-7b16-a421-c22f9b92accb ;
    wdtn:P227 <https://d-nb.info/gnd/4768879-8> ;
    wdtn:P6366 <https://makg.org/entity/128814272> ;
    wdt:P10283 "C128814272" ;
    wdt:P1269 wd:Q4791123 ;
    wdt:P12800 "fr:Conjecture_de_Syracuse" ;
    wdt:P12975 "1712" ;
    wdt:P1343 wd:Q110096092 ;
    wdt:P13772 "collatz-conjecture" ;
    wdt:P138 wd:Q234357,
        wd:Q37602,
        wd:Q617433,
        wd:Q61794,
        wd:Q945209 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/All%20Collatz%20sequences%20of%20a%20length%20inferior%20to%2020.svg>,
        <http://commons.wikimedia.org/wiki/Special:FilePath/Collatz-graph-all-30-no27-loop.svg> ;
    wdt:P227 "4768879-8" ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\" rowspacing=\"3pt\"><mtr><mtd></mtd><mtd><mi>f</mi><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mo data-mjx-texclass=\"OPEN\">{</mo><mtable columnspacing=\"1em\" rowspacing=\"4pt\" columnalign=\"left left\"><mtr><mtd><mn>3</mn><mi>n</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mtd><mtd><mn>2</mn><mo stretchy=\"false\">&#x2224;</mo><mi>n</mi></mtd></mtr><mtr><mtd><mi>n</mi><mo lspace=\"0\" rspace=\"0\">/</mo><mn>2</mn></mtd><mtd><mn>2</mn><mo stretchy=\"false\">&#x2223;</mo><mi>n</mi></mtd></mtr></mtable><mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" data-mjx-texclass=\"CLOSE\"></mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant=\"normal\">&#x2200;</mi><mi>n</mi><mo stretchy=\"false\">&#x2208;</mo><msup><mrow data-mjx-texclass=\"ORD\"><mi>ℤ</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">+</mo></mrow></msup><mi mathvariant=\"normal\">&#x2203;</mi><mi>i</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mi>ℕ</mi></mrow><mo stretchy=\"false\">&#x003A;</mo><mo stretchy=\"false\">(</mo><munder><mrow data-mjx-texclass=\"OP\"><munder><mrow data-mjx-texclass=\"ORD\"><mi>f</mi><mo stretchy=\"false\">&#x2218;</mo><mi>f</mi><mo stretchy=\"false\">&#x2218;</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">&#x2218;</mo><mi>f</mi></mrow><mo>&#x23DF;</mo></munder></mrow><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></munder><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mn>1</mn></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "CollatzProblem" ;
    wdt:P31 wd:Q319141 ;
    wdt:P3417 "Collatz-Conjecture" ;
    wdt:P361 wd:Q7897482,
        wd:Q848034 ;
    wdt:P373 "Collatz conjecture" ;
    wdt:P5106 "CollatzProblem" ;
    wdt:P577 "1937-01-01T00:00:00+00:00"^^xsd:dateTime ;
    wdt:P61 wd:Q61794 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "128814272" ;
    wdt:P646 "/m/09g1c" ;
    wdt:P6781 "Collatz_Conjecture" ;
    wdt:P6900 "コラッツの問題" ;
    wdt:P8885 "콜라츠 추측" ;
    wdt:P921 wd:Q65281105 ;
    wdt:P9621 "congettura-di-collatz" .