NOMBRES - Curiosités, théorie et usages

 

Accueil                           DicoNombre            Rubriques           Nouveautés      Édition du: 08/03/2020

Orientation générale        DicoMot Math          Atlas                   Actualités                       M'écrire

Barre de recherche          DicoCulture              Index alphabétique        Références      Brèves de Maths

      

TABLES de NOMBRES

 

Débutants

Général

Nombres à MOTIFS

 

Glossaire

Général

 

 

INDEX

 

Tables

 

Repunit

Repdigit

Pannumérique

Ondulant

Multiples

Parasites

Magie 10001

Zigzag

 

Sommaire de cette page

>>> Nombres à TROIS chiffres

>>> Nombres à QUATRE chiffres

>>> Nombres à CINQ chiffres

 

 

 

 

Table des MULTIPLES des nombres

avec propriété sur les chiffres

 

Voir pages principales sur les nombres multiples retournés(inversion complète des chiffres) et les nombres parasites (permutation avec inversion des chiffres de tête et de queue).

 

Légende pour les tableaux

T1: le nombre et son multiple ont les mêmes chiffres dans un ordre quelconque;

T2: les chiffres du multiple sont les retournés du nombre initial;

T3: le nombre et son multiple ont les mêmes premiers et derniers chiffres: ils deviennent nombres parasites lorsque la permutation est complète.

T4: réunion de T1 et T3: mêmes chiffres dont le premier et le dernier identiques.

 

 

 

Nombres à trois chiffres

3 cas de type T3

Le multiple a les mêmes premiers et derniers chiffres inversés.

Aucun nombre à trois chiffres en T1, T2 ou T4.

 

n

k

k.n

T1

T2

T3

T4

208

4

832

 

 

T3

 

218

4

872

 

 

T3

 

109

8

981

 

 

T3

 

  

 

 

Nombres à quatre chiffres

43 cas

 

dont

2 cas T2

et

34 cas T3

 

n

k

k.n

T1

T2

T3

T4

1035

3

3105

T1

 

 

 

2474

3

7422

T1

 

 

 

2475

3

7425

T1

 

 

 

2575

3

7725

T1

 

 

 

1782

4

7128

T1

 

 

 

2008

4

8032

 

 

T3

 

2018

4

8072

 

 

T3

 

2028

4

8112

 

 

T3

 

2038

4

8152

 

 

T3

 

2048

4

8192

 

 

T3

 

2058

4

8232

 

 

T3

 

2068

4

8272

 

 

T3

 

2078

4

8312

 

 

T3

 

2088

4

8352

 

 

T3

 

2098

4

8392

 

 

T3

 

2108

4

8432

 

 

T3

 

2118

4

8472

 

 

T3

 

2128

4

8512

 

 

T3

 

2138

4

8552

 

 

T3

 

2148

4

8592

 

 

T3

 

2158

4

8632

 

 

T3

 

2168

4

8672

 

 

T3

 

2178

4

8712

T1

T2

T3

T4

 

 

n

k

k.n

T1

T2

T3

T4

2188

4

8752

 

 

T3

 

2198

4

8792

 

 

T3

 

2208

4

8832

 

 

T3

 

2218

4

8872

 

 

T3

 

2228

4

8912

 

 

T3

 

2238

4

8952

 

 

T3

 

2248

4

8992

 

 

T3

 

1386

6

8316

T1

 

 

 

1359

7

9513

T1

 

 

 

1009

9

9081

 

 

T3

 

1019

9

9171

 

 

T3

 

1029

9

9261

 

 

T3

 

1039

9

9351

 

 

T3

 

1049

9

9441

 

 

T3

 

1059

9

9531

 

 

T3

 

1069

9

9621

 

 

T3

 

1079

9

9711

 

 

T3

 

1089

9

9801

T1

T2

T3

T4

1099

9

9891

 

 

T3

 

1109

9

9981

 

 

T3

 

 

 

 

Voir Nombres et leurs triples

 

 

 Nombres à cinq chiffres

 

103 cas T1

(mêmes chiffres)

[10255, 2, 20510], [10525, 2, 21050], [12505, 2, 25010], [12550, 2, 25100], [25051, 2, 50102], [25105, 2, 50210], [25501, 2, 51002], [25510, 2, 51020], [44897, 2, 89794], [44987, 2, 89974], [47489, 2, 94978], [48749, 2, 97498], [48947, 2, 97894], [48974, 2, 97948], [49487, 2, 98974], [49874, 2, 99748], [10035, 3, 30105], [10335, 3, 31005], [10350, 3, 31050], [10351, 3, 31053], [11035, 3, 33105], [12375, 3, 37125], [14247, 3, 42741], [14724, 3, 44172], [23751, 3, 71253], [24147, 3, 72441], [24714, 3, 74142], [24740, 3, 74220], [24750, 3, 74250], [24876, 3, 74628], [24974, 3, 74922], [24975, 3, 74925], [25750, 3, 77250], [25975, 3, 77925], [27585, 3, 82755], [28575, 3, 85725], [16004, 4, 64016], [16040, 4, 64160], [16782, 4, 67128], [16799, 4, 67196], [16979, 4, 67916], [17604, 4, 70416], [17782, 4, 71128], [17802, 4, 71208], [17820, 4, 71280], [17822, 4, 71288], [17832, 4, 71328], [17982, 4, 71928], [18027, 4, 72108], [19728, 4, 78912], [19782, 4, 79128], [20083, 4, 80332], [20178, 4, 80712], [20830, 4, 83320], [21678, 4, 86712], [21778, 4, 87112], [21780, 4, 87120], [21782, 4, 87128], [21783, 4, 87132], [21798, 4, 87192], [21978, 4, 87912], [22178, 4, 88712], [23958, 4, 95832], [10025, 5, 50125], [10205, 5, 51025], [10250, 5, 51250], [10502, 5, 52510], [10168, 6, 61008], [11386, 6, 68316], [11702, 6, 70212], [12017, 6, 72102], [13860, 6, 83160], [13861, 6, 83166], [13886, 6, 83316], [13986, 6, 83916], [14018, 6, 84108], [14085, 6, 84510], [14819, 6, 88914], [14859, 6, 89154], [15192, 6, 91152], [11688, 7, 81816], [11883, 7, 83181], [12903, 7, 90321], [13029, 7, 91203], [13359, 7, 93513], [13449, 7, 94143], [13590, 7, 95130], [13599, 7, 95193], [13659, 7, 95613], [11498, 8, 91984], [10049, 9, 90441], [10079, 9, 90711], [10089, 9, 90801], [10449, 9, 94041], [10490, 9, 94410], [10779, 9, 97011], [10790, 9, 97110], [10889, 9, 98001], [10890, 9, 98010], [10891, 9, 98019], [10899, 9, 98091], [10989, 9, 98901], [11089, 9, 99801]

 

361 cas T3

(mêmes premier et dernier chiffre)

 

[20008, 4, 80032], [20018, 4, 80072], [20028, 4, 80112], [20038, 4, 80152], [20048, 4, 80192], [20058, 4, 80232], [20068, 4, 80272], [20078, 4, 80312], [20088, 4, 80352], [20098, 4, 80392], [20108, 4, 80432], [20118, 4, 80472], [20128, 4, 80512], [20138, 4, 80552], [20148, 4, 80592], [20158, 4, 80632], [20168, 4, 80672], [20178, 4, 80712], [20188, 4, 80752], [20198, 4, 80792], [20208, 4, 80832], [20218, 4, 80872], [20228, 4, 80912], [20238, 4, 80952], [20248, 4, 80992], [20258, 4, 81032], [20268, 4, 81072], [20278, 4, 81112], [20288, 4, 81152], [20298, 4, 81192], [20308, 4, 81232], [20318, 4, 81272], [20328, 4, 81312], [20338, 4, 81352], [20348, 4, 81392], [20358, 4, 81432], [20368, 4, 81472], [20378, 4, 81512], [20388, 4, 81552], [20398, 4, 81592], [20408, 4, 81632], [20418, 4, 81672], [20428, 4, 81712], [20438, 4, 81752], [20448, 4, 81792], [20458, 4, 81832], [20468, 4, 81872], [20478, 4, 81912], [20488, 4, 81952], [20498, 4, 81992], [20508, 4, 82032], [20518, 4, 82072], [20528, 4, 82112], [20538, 4, 82152], [20548, 4, 82192], [20558, 4, 82232], [20568, 4, 82272], [20578, 4, 82312], [20588, 4, 82352], [20598, 4, 82392], [20608, 4, 82432], [20618, 4, 82472], [20628, 4, 82512], [20638, 4, 82552], [20648, 4, 82592], [20658, 4, 82632], [20668, 4, 82672], [20678, 4, 82712], [20688, 4, 82752], [20698, 4, 82792], [20708, 4, 82832], [20718, 4, 82872], [20728, 4, 82912], [20738, 4, 82952], [20748, 4, 82992], [20758, 4, 83032], [20768, 4, 83072], [20778, 4, 83112], [20788, 4, 83152], [20798, 4, 83192], [20808, 4, 83232], [20818, 4, 83272], [20828, 4, 83312], [20838, 4, 83352], [20848, 4, 83392], [20858, 4, 83432], [20868, 4, 83472], [20878, 4, 83512], [20888, 4, 83552], [20898, 4, 83592], [20908, 4, 83632], [20918, 4, 83672], [20928, 4, 83712], [20938, 4, 83752], [20948, 4, 83792], [20958, 4, 83832], [20968, 4, 83872], [20978, 4, 83912], [20988, 4, 83952], [20998, 4, 83992], [21008, 4, 84032], [21018, 4, 84072], [21028, 4, 84112], [21038, 4, 84152], [21048, 4, 84192], [21058, 4, 84232], [21068, 4, 84272], [21078, 4, 84312], [21088, 4, 84352], [21098, 4, 84392], [21108, 4, 84432], [21118, 4, 84472], [21128, 4, 84512], [21138, 4, 84552], [21148, 4, 84592], [21158, 4, 84632], [21168, 4, 84672], [21178, 4, 84712], [21188, 4, 84752], [21198, 4, 84792], [21208, 4, 84832], [21218, 4, 84872], [21228, 4, 84912], [21238, 4, 84952], [21248, 4, 84992], [21258, 4, 85032], [21268, 4, 85072], [21278, 4, 85112], [21288, 4, 85152], [21298, 4, 85192], [21308, 4, 85232], [21318, 4, 85272], [21328, 4, 85312], [21338, 4, 85352], [21348, 4, 85392], [21358, 4, 85432], [21368, 4, 85472], [21378, 4, 85512], [21388, 4, 85552], [21398, 4, 85592], [21408, 4, 85632], [21418, 4, 85672], [21428, 4, 85712], [21438, 4, 85752], [21448, 4, 85792], [21458, 4, 85832], [21468, 4, 85872], [21478, 4, 85912], [21488, 4, 85952], [21498, 4, 85992], [21508, 4, 86032], [21518, 4, 86072], [21528, 4, 86112], [21538, 4, 86152], [21548, 4, 86192], [21558, 4, 86232], [21568, 4, 86272], [21578, 4, 86312], [21588, 4, 86352], [21598, 4, 86392], [21608, 4, 86432], [21618, 4, 86472], [21628, 4, 86512], [21638, 4, 86552], [21648, 4, 86592], [21658, 4, 86632], [21668, 4, 86672], [21678, 4, 86712], [21688, 4, 86752], [21698, 4, 86792], [21708, 4, 86832], [21718, 4, 86872], [21728, 4, 86912], [21738, 4, 86952], [21748, 4, 86992], [21758, 4, 87032], [21768, 4, 87072], [21778, 4, 87112], [21788, 4, 87152], [21798, 4, 87192], [21808, 4, 87232], [21818, 4, 87272], [21828, 4, 87312], [21838, 4, 87352], [21848, 4, 87392], [21858, 4, 87432], [21868, 4, 87472], [21878, 4, 87512], [21888, 4, 87552], [21898, 4, 87592], [21908, 4, 87632], [21918, 4, 87672], [21928, 4, 87712], [21938, 4, 87752], [21948, 4, 87792], [21958, 4, 87832], [21968, 4, 87872], [21978, 4, 87912], [21988, 4, 87952], [21998, 4, 87992], [22008, 4, 88032], [22018, 4, 88072], [22028, 4, 88112], [22038, 4, 88152], [22048, 4, 88192], [22058, 4, 88232], [22068, 4, 88272], [22078, 4, 88312], [22088, 4, 88352], [22098, 4, 88392], [22108, 4, 88432], [22118, 4, 88472], [22128, 4, 88512], [22138, 4, 88552], [22148, 4, 88592], [22158, 4, 88632], [22168, 4, 88672], [22178, 4, 88712], [22188, 4, 88752], [22198, 4, 88792], [22208, 4, 88832], [22218, 4, 88872], [22228, 4, 88912], [22238, 4, 88952], [22248, 4, 88992], [22258, 4, 89032], [22268, 4, 89072], [22278, 4, 89112], [22288, 4, 89152], [22298, 4, 89192], [22308, 4, 89232], [22318, 4, 89272], [22328, 4, 89312], [22338, 4, 89352], [22348, 4, 89392], [22358, 4, 89432], [22368, 4, 89472], [22378, 4, 89512], [22388, 4, 89552], [22398, 4, 89592], [22408, 4, 89632], [22418, 4, 89672], [22428, 4, 89712], [22438, 4, 89752], [22448, 4, 89792], [22458, 4, 89832], [22468, 4, 89872], [22478, 4, 89912], [22488, 4, 89952], [22498, 4, 89992], [10009, 9, 90081], [10019, 9, 90171], [10029, 9, 90261], [10039, 9, 90351], [10049, 9, 90441], [10059, 9, 90531], [10069, 9, 90621], [10079, 9, 90711], [10089, 9, 90801], [10099, 9, 90891], [10109, 9, 90981], [10119, 9, 91071], [10129, 9, 91161], [10139, 9, 91251], [10149, 9, 91341], [10159, 9, 91431], [10169, 9, 91521], [10179, 9, 91611], [10189, 9, 91701], [10199, 9, 91791], [10209, 9, 91881], [10219, 9, 91971], [10229, 9, 92061], [10239, 9, 92151], [10249, 9, 92241], [10259, 9, 92331], [10269, 9, 92421], [10279, 9, 92511], [10289, 9, 92601], [10299, 9, 92691], [10309, 9, 92781], [10319, 9, 92871], [10329, 9, 92961], [10339, 9, 93051], [10349, 9, 93141], [10359, 9, 93231], [10369, 9, 93321], [10379, 9, 93411], [10389, 9, 93501], [10399, 9, 93591], [10409, 9, 93681], [10419, 9, 93771], [10429, 9, 93861], [10439, 9, 93951], [10449, 9, 94041], [10459, 9, 94131], [10469, 9, 94221], [10479, 9, 94311], [10489, 9, 94401], [10499, 9, 94491], [10509, 9, 94581], [10519, 9, 94671], [10529, 9, 94761], [10539, 9, 94851], [10549, 9, 94941], [10559, 9, 95031], [10569, 9, 95121], [10579, 9, 95211], [10589, 9, 95301], [10599, 9, 95391], [10609, 9, 95481], [10619, 9, 95571], [10629, 9, 95661], [10639, 9, 95751], [10649, 9, 95841], [10659, 9, 95931], [10669, 9, 96021], [10679, 9, 96111], [10689, 9, 96201], [10699, 9, 96291], [10709, 9, 96381], [10719, 9, 96471], [10729, 9, 96561], [10739, 9, 96651], [10749, 9, 96741], [10759, 9, 96831], [10769, 9, 96921], [10779, 9, 97011], [10789, 9, 97101], [10799, 9, 97191], [10809, 9, 97281], [10819, 9, 97371], [10829, 9, 97461], [10839, 9, 97551], [10849, 9, 97641], [10859, 9, 97731], [10869, 9, 97821], [10879, 9, 97911], [10889, 9, 98001], [10899, 9, 98091], [10909, 9, 98181], [10919, 9, 98271], [10929, 9, 98361], [10939, 9, 98451], [10949, 9, 98541], [10959, 9, 98631], [10969, 9, 98721], [10979, 9, 98811], [10989, 9, 98901], [10999, 9, 98991], [11009, 9, 99081], [11019, 9, 99171], [11029, 9, 99261], [11039, 9, 99351], [11049, 9, 99441], [11059, 9, 99531], [11069, 9, 99621], [11079, 9, 99711], [11089, 9, 99801], [11099, 9, 99891], [11109, 9, 99981]

 

15 cas

T2 ou T4

 

Dont deux cas T2, retournement complet.

 

Exemple

20178 x 4 = 80172:

{0,1, 2, 7, 8} mêmes chiffres (T1)

{2 et 8} sont intervertis (T3)

{0, 1, 7} mêmes chiffres au centre.

 

n

k

k.n

T1

T2

T3

T4

20178

4

80712

T1

 

T3

T4

21678

4

86712

T1

 

T3

T4

21778

4

87112

T1

 

T3

T4

21798

4

87192

T1

 

T3

T4

21978

4

87912

T1

T2

T3

T4

22178

4

88712

T1

 

T3

T4

10049

9

90441

T1

 

T3

T4

10079

9

90711

T1

 

T3

T4

10089

9

90801

T1

 

T3

T4

10449

9

94041

T1

 

T3

T4

10779

9

97011

T1

 

T3

T4

10889

9

98001

T1

 

T3

T4

10899

9

98091

T1

 

T3

T4

10989

9

98901

T1

T2

T3

T4

11089

9

99801

T1

 

T3

T4

 

 

 

Voir

*    Nombres retournés

*    Nombres parasites

*    Ondulants

*    Repunit

*    Nombres à motifs

*    TablesIndex

DicoNombre

*    Nombre 109

*    Nombre 208

*    Nombre 218

Cette page

http://villemin.gerard.free.fr/TABLES/aaaMotif/Retourne.htm