Číselné soustavy/Čtrnáctková soustava

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Tato stránka je součástí databáze a projektu:

Číselné soustavy Matematika

{cs}

Příslušnost: Kusurija

Toto je 100 % vlastní výzkum. Ne, že by informace, zde uvedené, nebyly dosud známy (naprostá většina z nich je známa od starověku, většina malého zbytku je známa z počátků novověku a nepatrný zbytek v posledních desetiletích); vlastním výzkumem je seřazení/prezentace těch informací a naznačené souvislosti mezi nimi. kusurija.

Pro číslici 10₍₁₀₎ je používán náhradní symbol A₍₁₄₎, pro 11₍₁₀₎ - B₍₁₄₎, pro 12₍₁₀₎ - C₍₁₄₎, pro 13₍₁₀₎ - D₍₁₄₎

Číselná řada

• Číselná řada
  

0, 1, 2*, 3*, 4**, 5*, 6, 7*, 8**, 9**, A, B*, C, D*, 10, 11, 12**, 13*, 14, 15*, 16, 17, 18, 19*, 1A, 1B**, 1C, 1D**, 20,

21*, 22, 23*, 24**, 25, 26, 27, 28, 29*, 2A, 2B, 2C, 2D*, 30, 31*, 32, 33, 34, 35*, 36, 37**, 38 39, 3A*, 3B*, 3C, 3D, 40,

41, 42, 43*, 44, 45*, 46, 47, 48**, 49, 4A, 4B*, 4C, 4D, 50, 51*, 52, 53*, 54, 55, 56, 57, 58, 59*, 5A, 5B**, 5C, 5D*, 60,

61, 62, 63, 64, 65*, 66, 67, 68, 69, 6A, 6B, 6C, 6D*, 70, 71, 72, 73*, 74, 75*, 76, 77, 78, 79*, 7A, 7B*, 7C, 7D, 80,

81*, 82, 83, 84, 85, 86, 87, 88, 89**, 8A, 8B, 8C, 8D**, 90, 91*, 92**, 93, 94, 95*, 96, 97, 98, 99, 9A, 9B*, 9C, 9D*, A0,

A1, A2, A3, A4, A5, A6, A7, A8, A9*, AA, AB*, AC, AD, B0, B1, B2, B3*, B4, B5, B6, B7, B8, B9*, BA, BB, BC, BD*, C0,

C1**, C2, C3, C4, C5*, C6, C7, C8, C9, CA, CB*, CC, CD*, D0, D1, D2, D3, D4, D5, D6, D7, D8, D9*, DA, DB*, DC, DD, 100,

101*, 102, 103*, 104, 105, 106, 107, 108, 109, 10A, 10B, 10C, 10D, 110, 111*, 112, 113, 114, 115, 116, 117, 118, 119, 11A, 11B, 11C, 11D*, 120, další členy řady viz tabulky ...

* jsou označena prvočísla, ** - jejich mocniny

Malá násobilka

Malá násobilka čtrnáctkové soustavy

×	1	2	3	4	5	6	7	8	9	A	B	C	D	10	11	12	13	14
1	1	2	3	4	5	6	7	8	9	A	B	C	D	10	11	12	13	14
2	2	4	6	8	A	C	10	12	14	16	18	1A	1C	20	22	24	26	28
3	3	6	9	C	11	14	17	1A	1D	22	25	28	2B	30	33	36	39	3C
4	4	8	C	12	16	1A	20	24	28	2C	32	36	3A	40	44	48	4C	52
5	5	A	11	16	1B	22	27	2C	33	38	3D	44	49	50	55	5A	61	66
6	6	C	14	1A	22	28	30	36	3C	44	4A	52	58	60	66	6C	74	7A
7	7	10	17	20	27	30	37	40	47	50	57	60	67	70	77	80	87	90
8	8	12	1A	24	2C	36	40	48	52	5A	64	6C	76	80	88	92	9A	A4
9	9	14	1D	28	33	3C	47	52	5B	66	71	7A	85	90	99	A4	AD	B8
A	A	16	22	2C	38	44	50	5A	66	72	7C	88	94	A0	AA	B6	C2	CC
B	B	18	25	32	3D	4A	57	64	71	7C	89	96	A3	B0	BB	C8	D5	102
C	C	1A	28	36	44	52	60	6C	7A	88	96	A4	B2	C0	CC	DA	108	116
D	D	1C	2B	3A	49	58	67	76	85	94	A3	B2	C1	D0	DD	10C	11B	12A
10	10	20	30	40	50	60	70	80	90	A0	B0	C0	D0	100	110	120	130	140

Repunitová prvočísla

Prvočísla, která se ve čtrnáctkové soustavě skládají z p jedniček, kde p jsou tato: 3, 7, 19, 31, 41, 2687, 19697, 59693, 67421, 441697, ...

Převrácené hodnoty prvočísel

• Převrácené hodnoty prvočísel (1/p); do 17 všech čísel (1/n) a vybraných součinů.

l.p. - délka periody; pp=předperioda

2: 0,700000000000... l.p. = 0+1pp

3: 0,494949494949... l.p. = 2

4: 0,370000000000... l.p. = 0+2pp

5: 0,2B2B2B2B2B2B... l.p. = 2

6: 0,249494949494... l.p. = 2+1pp

7: 0,200000000000... l.p. = 0+1pp

8: 0,1A7000000000... l.p. = 0+3pp

9: 0,17AC6317AC63... l.p. = 6

10: 0,158585858585... l.p. = 2+1pp

11: 0,13B6513B65... l.p. = 5

12: 0,124949494949... l.p. = 2+2pp

13: 0,111111111111... l.p. = 1

14: 0,100000000000... l.p. = 0+1pp

15: 0,0D0D0D0D0D0D... l.p. = 2

16: 0,0C3700000000... l.p. = 0+4pp

17: 0,0B75A9C4D2683419... l.p. = 16

19: 0,0A45C7522D398168BB... l.p. = 18

23: 0,0874391B7CAD569... l.p. = 22

25: 0,07BA8D6235... l.p. = 10

27: 0,0738B59BCD6A... l.p. = 18

29: 0,06A89925B163... l.p. = 28

31: 0,0647323881B4... l.p. = 15

37: 0,05423AD89BA3... l.p. = 12

41: 0,04ACD93104ACD931... l.p. = 8

43: 0,047B576BA143... l.p. = 21

47: 0,042550C72129... l.p. = 23

49: 0,040000000000... l.p. = 0+2pp

53: 0,039AB8A07579... l.p. = 52

59: 0,03471937B8AC... l.p. = 58

61: 0,032DAB032DAB... l.p. = 6

67: 0,02CD531C485... l.p. = 11

71: 0,02A90DB34D... l.p. = 10

73: 0,0298364861CB... l.p. = 72

79: 0,026A3C821AB4... l.p. = 26

81: 0,025C3B33D923... l.p. = 54

83: 0,0250BB430712... l.p. = 82

89: 0,022B8D757115... l.p. = 88

97: 0,020408122448... l.p. = 96

101: 0,01D24DC0B9... l.p. = 10

103: 0,01C8D841131A... l.p. = 17

107: 0,01B9056D126B... l.p. = 53

109: 0,01B262451CD8... l.p. = 108

113: 0,01A3D70C1DA7... l.p. = 28

121: 0,01896B7DAA904C... l.p. = 55

127: 0,01786B983A68... l.p. = 126

131: 0,016D3753454B... l.p. = 130

137: 0,01605A18C677... l.p. = 34

139: 0,015A534764B9... l.p. = 46

149: 0,0145B7B27734... l.p. = 148

151: 0,01425A69657C... l.p. = 150

157: 0,013698B8415D9... l.p. = 13

163: 0,012B97688361... l.p. = 81

167: 0,012607083037... l.p. = 83

169: 0,012607083037D... l.p. = 13

173: 0,011C0B488141... l.p. = 43

179: 0,011488638523A... l.p. = 89

181: 0,011235909A62... l.p. = 45

191: 0,01051B923B50B... l.p. = 38

193: 0,0103091D5C38... l.p. = 32

197: 0,00DD00DD00DD... l.p. = 4

199: 0,00DB08C159AC... l.p. = 99

211: 0,00D00D00D00D... l.p. = 3

223: 0,00C43AA4201A... l.p. = 37

229: 0,00BDA80D9A1319... l.p. = 57

...

Délky př.h. 5 - 49

3761: ... l.p. = 5

8108731: ... l.p. = 7

937: ... l.p. = 8

397: ... l.p. = 9

18973: ... l.p. = 9

4027: ... l.p. = 11

1154539: ... l.p. = 11

1033: ... l.p. = 12

29914249171: ... l.p. = 13

7027567: ... l.p. = 14

2851: ... l.p. = 15

15511: ... l.p. = 15

5393: ... l.p. = 16

16097: ... l.p. = 16

22771730193675277: ... l.p. = 17

132049: ... l.p. = 18

459715689149916492091: ... l.p. = 19

1061: ... l.p. = 20

1383881: ... l.p. = 20

547: ... l.p. = 21

2239000891: ... l.p. = 21

11737870057: ... l.p. = 22

461: ... l.p. = 23

2347: ... l.p. = 23

10627: ... l.p. = 23

2249861: ... l.p. = 23

14525237: ... l.p. = 23

1475750641: ... l.p. = 24

110256001: ... l.p. = 25

758855846709601: ... l.p. = 25

911: ... l.p. = 26

7307: ... l.p. = 26

100621: ... l.p. = 26

1427145211: ... l.p. = 27

299113818931: ... l.p. = 27

3361: ... l.p. = 28

176597: ... l.p. = 28

13109: ... l.p. = 29

25581350023: ... l.p. = 29

396530555859061913: ... l.p. = 29

811: ... l.p. = 30

1948981: ... l.p. = 30

26063080998214179685167270877966651: ... l.p. = 31

11284732320255809: ... l.p. = 32

77720275181800334933851: ... l.p. = 33

14837638311110071: ... l.p. = 34

2984619585279628795345143571: ... l.p. = 35

56693904845761: ... l.p. = 36

141405986837: ... l.p. = 37

6223308177932683558580086481: ... l.p. = 37

26981: ... l.p. = 38

77312552100349: ... l.p. = 38

761437: ... l.p. = 39

3921141330646275580183: ... l.p. = 39

61001: ... l.p. = 40

698521: ... l.p. = 40

51111761: ... l.p. = 40

7538867501749984216983927242653776257689563451: ... l.p. = 41

463: ... l.p. = 42

131147620297: ... l.p. = 42

8541144684063565933692773061041272523162742407: ... l.p. = 43

88001: ... l.p. = 44

240159217: ... l.p. = 44

3938797853: ... l.p. = 44

1171: ... l.p. = 45

302581: ... l.p. = 45

50099966224441291: ... l.p. = 45

967: ... l.p. = 46

19922509: ... l.p. = 46

5715684596759: ... l.p. = 46

659: ... l.p. = 47

3690629: ... l.p. = 47

21156769: ... l.p. = 47

24572071: ... l.p. = 47

44894941936589578860040808179: ... l.p. = 47

19489: ... l.p. = 48

722833: ... l.p. = 48

154604113: ... l.p. = 48

491: ... l.p. = 49

50177: ... l.p. = 49

55691808161414434292580585256766467712323: ... l.p. = 49

Délky př.h. 50 - 99

401: ... l.p. = 50

4001: ... l.p. = 50

10429823947688701: ... l.p. = 50

136273: ... l.p. = 51

32334112193463066794091099939307: ... l.p. = 51

178616881: ... l.p. = 52

337803644207780297: ... l.p. = 52

24593: ... l.p. = 53

108342165348412451: ... l.p. = 53

212253211670183419: ... l.p. = 53

7063101861270769169: ... l.p. = 53

1177426963: ... l.p. = 54

120850766857: ... l.p. = 54

590942011471566261212035041517359275008998041: ... l.p. = 55

1009: ... l.p. = 56

774929: ... l.p. = 56

4110630794871608561: ... l.p. = 56

428299: ... l.p. = 57

1725839313594069799295455569880861: ... l.p. = 57

114221024581: ... l.p. = 58

17101086842968403641: ... l.p. = 58

28439: ... l.p. = 59

1139110880064821580931661: ... l.p. = 59

99341435535614774169060040354379474929: ... l.p. = 59

2189065053896955781: ... l.p. = 60

977: ... l.p. = 61

8053: ... l.p. = 61

21961: ... l.p. = 61

51238644631619299: ... l.p. = 61

71246710261900509347856740878394240608589: ... l.p. = 61

1613: ... l.p. = 62

3163: ... l.p. = 62

168269: ... l.p. = 62

7476844183: ... l.p. = 62

3519020880787: ... l.p. = 62

379: ... l.p. = 63

407364049: ... l.p. = 63

1179856192739099325001663965211: ... l.p. = 63

7489: ... l.p. = 64

1204905857: ... l.p. = 64

1667461121: ... l.p. = 64

315256811699009: ... l.p. = 64

2081: ... l.p. = 65

548055041: ... l.p. = 65

8411347582936206309444183428167163113285171: ... l.p. = 65

424262851: ... l.p. = 66

211217884795501: ... l.p. = 66

269: ... l.p. = 67

12329: ... l.p. = 67

169913: ... l.p. = 67

2516066164220253191649971614939: ... l.p. = 67

3349702521889138376311452937393733: ... l.p. = 67

2857: ... l.p. = 68

2774129: ... l.p. = 68

1253535423961: ... l.p. = 68

475021736393117: ... l.p. = 68

812293117: ... l.p. = 69

2609588427937: ... l.p. = 69

117848048385565517206343907799: ... l.p. = 69

2985431: ... l.p. = 70

1153528236782084716841: ... l.p. = 70

4261: ... l.p. = 71

954519632047180992533553119: ... l.p. = 71

44859123274519397633244020369148461475583526255489: ... l.p. = 71

44030132882434030723817977: ... l.p. = 72

439: ... l.p. = 73

7708818770493814043599025468833: ... l.p. = 73

10566980260900333849245254932444354727296796880253: ... l.p. = 73

283051: ... l.p. = 74

118918748615980063: ... l.p. = 74

5052787535809680019: ... l.p. = 74

1051: ... l.p. = 75

2851: ... l.p. = 75

15511: ... l.p. = 75

6660669790484818762043927493730359492577651: ... l.p. = 75

5363068468501: ... l.p. = 76

33805377353247040129578560281: ... l.p. = 76

3851: ... l.p. = 77

59753: ... l.p. = 77

140449: ... l.p. = 77

53380217213346395075243: ... l.p. = 77

315257364155953014892026218048531: ... l.p. = 77

40639: ... l.p. = 78

84710027970100651637689: ... l.p. = 78

11289101: ... l.p. = 79

38775097: ... l.p. = 79

615119103307672084324408929574434035093551952429110669871322453424027065503: ... l.p. = 79

4241: ... l.p. = 80

825039041: ... l.p. = 80

1355671197066156221653681: ... l.p. = 80

163: ... l.p. = 81

4861: ... l.p. = 81

854582077: ... l.p. = 81

114880659731339946558533643832442036970911052211: ... l.p. = 81

5167: ... l.p. = 82

86501473: ... l.p. = 82

95263009: ... l.p. = 82

1848816684520172381645083: ... l.p. = 82

167: ... l.p. = 83

5479: ... l.p. = 83

19423: ... l.p. = 83

2802911: ... l.p. = 83

8692591: ... l.p. = 83

116910503156118431205311406881: ... l.p. = 83

204332497732322019738763108910872473544229: ... l.p. = 83

1597: ... l.p. = 84

10333: ... l.p. = 84

12471556693: ... l.p. = 84

15697516297: ... l.p. = 84

1021: ... l.p. = 85

5135191: ... l.p. = 85

2045945611942276639291: ... l.p. = 85

1947753437069049655833464760961862177994571: ... l.p. = 85

68138548314176704687: ... l.p. = 86

18794094160316772254370452929: ... l.p. = 86

349: ... l.p. = 87

100577221: ... l.p. = 87

403476788531724813009371807907132693704496994384144939: ... l.p. = 87

3697: ... l.p. = 88

2211409011924781241: ... l.p. = 88

9620587412095263092017: ... l.p. = 88

179: ... l.p. = 89

3264343: ... l.p. = 89

72284972657: ... l.p. = 89

558880233911: ... l.p. = 89

3299409610497308205563537706817980829888227789572822696222635797832889: ... l.p. = 89

4020031: ... l.p. = 90

799837378328194512391: ... l.p. = 90

10193: ... l.p. = 91

34763: ... l.p. = 91

1326781: ... l.p. = 91

72019220497491955875703699: ... l.p. = 91

4360058677522333400302555160685378238981: ... l.p. = 91

1381: ... l.p. = 92

7258585231384113470369: ... l.p. = 92

26691793464632753298234089: ... l.p. = 92

244898761: ... l.p. = 93

2472843559729: ... l.p. = 93

253445952598770930829423: ... l.p. = 93

3544762693352021265837373: ... l.p. = 93

1129: ... l.p. = 94

1693: ... l.p. = 94

273065677: ... l.p. = 94

94255869234963126537248029251644017103: ... l.p. = 94

30581071: ... l.p. = 95

296707130599601: ... l.p. = 95

181492199166802020921871: ... l.p. = 95

18723888886508419552544198894371479971: ... l.p. = 95

97: ... l.p. = 96

37633: ... l.p. = 96

1299441004337600362404702924961: ... l.p. = 96

73548556381: ... l.p. = 97

1562794793588378476688372771842284031086513638557587005970930009617762744252085402585874631553746551: ... l.p. = 97

1766644727: ... l.p. = 98

776655233127914628990157017486935758151: ... l.p. = 98

199: ... l.p. = 99

1035450464203: ... l.p. = 99

2841459286777991861559883514350922118721754186163777133: ... l.p. = 99

Délky př.h. 100 - 149

1289805301: ... l.p. = 100

5427467975561141066903634117574455901: ... l.p. = 100

179983857965347309: ... l.p. = 101

117130686705550609860341: ... l.p. = 101

209451755659644970976545174196240606733878286230537862311246148654043675979: ... l.p. = 101

379033: ... l.p. = 102

373751461: ... l.p. = 102

91949452849: ... l.p. = 102

390025544803: ... l.p. = 102

53149: ... l.p. = 103

618619: ... l.p. = 103

8437406664266660215141: ... l.p. = 103

3119729852124089863737908035433473851142481321640891640967717916447248647901662485841: ... l.p. = 103

1873: ... l.p. = 104

122929: ... l.p. = 104

24265055276489: ... l.p. = 104

1849102545912795649305870639902057: ... l.p. = 104

20161: ... l.p. = 105

416104481521: ... l.p. = 105

1325735305253077646619978407581074191011: ... l.p. = 105

370420174412756233251059386112400356602781974950349282143983: ... l.p. = 106

80096563: ... l.p. = 107

64301767086455821476391543: ... l.p. = 107

11532779639819150795491142557: ... l.p. = 107

559739148442351350196576315930699382943608532088866467856187: ... l.p. = 107

109: ... l.p. = 108

1297: ... l.p. = 108

1288970002561918178679898926602104597: ... l.p. = 108

1105261: ... l.p. = 109

1869094069: ... l.p. = 109

90777375641: ... l.p. = 109

34748727725730862445017528469577421792113235479104201186974326664126061863253018391788691280012739: ... l.p. = 109

4193531: ... l.p. = 110

80771150936583581: ... l.p. = 110

22143573795284626967041: ... l.p. = 110

179278543: ... l.p. = 111

172053642296900809660763987728555244160431048017543319540677416559730263477: ... l.p. = 111

8737: ... l.p. = 112

112639810230529x10497634952540738837296261662243227617: ... l.p. = 112

1907441: ... l.p. = 113

2339966136628961: ... l.p. = 113

56087230197970123450986087214392063889836121702624890056715733173078027312288703818421569456093009489339211: ... l.p. = 113

195170541036876871586242124250099044769031: ... l.p. = 114

88321: ... l.p. = 115

3630722041: ... l.p. = 115

52948351072449959611171: ... l.p. = 115

3955249139434444063599699359437431976327097699817481836525092761: ... l.p. = 115

233: ... l.p. = 116

19145784457: ... l.p. = 116

3400405866978240617100300348708655716139329047695901: ... l.p. = 116

4158181: ... l.p. = 117

20097971479: ... l.p. = 117

3114718734925279: ... l.p. = 117

1528484187475617597653221: ... l.p. = 117

83430504324161161062615721: ... l.p. = 117

13217: ... l.p. = 118

20297: ... l.p. = 118

26914480954937: ... l.p. = 118

4723062582866725519259: ... l.p. = 118

81787775296961961505757: ... l.p. = 118

2709038809: ... l.p. = 119

243116937361539697: ... l.p. = 119

613350110243193333262258716906211: ... l.p. = 119

245339714407630501811850765902642529690158622273577: ... l.p. = 119

59203797481: ... l.p. = 120

80123309993635647613346281: ... l.p. = 120

123299243: ... l.p. = 121

831510853163: ... l.p. = 121

2879003390005532849687: ... l.p. = 121

810996712531202185567281370471: ... l.p. = 121

4954437135293358288107852897538715087461517527521910857: ... l.p. = 121

90281: ... l.p. = 122

107705383: ... l.p. = 122

56219262873136173669112855946809586218842424287270210257: ... l.p. = 122

6151: ... l.p. = 123

31241604679: ... l.p. = 123

201720751646093059: ... l.p. = 123

1174321015077687943810266819183163008436285913944354367870041: ... l.p. = 123

446401: ... l.p. = 124

1305409674843587956181760321758227903131748953619621107238125901: ... l.p. = 124

1365644971682164918414229838387642578618501: ... l.p. = 125

3002380687419390865861969028559196685622655601995922644132186633449959501: ... l.p. = 125

127: ... l.p. = 126

1435369802312964804941403275094813832903: ... l.p. = 126

509: ... l.p. = 127

940979147721970954812093094478312164633069: ... l.p. = 127

5807903569330628838397641438043673721629079805179747485271977169570595026705431774291706107287413011: ... l.p. = 127

8633886977: ... l.p. = 128

2606081085678013851659434100378777002828326851013303788215883521: ... l.p. = 128

1748753565722783392523534914200559650310646829897838224851245388466145383320259583774888422823771: ... l.p. = 129

131: ... l.p. = 130

1812721: ... l.p. = 130

89590931: ... l.p. = 130

154160620391311: ... l.p. = 130

3374957962330190476351801: ... l.p. = 130

203051: ... l.p. = 131

526288873935350241553819532490340264519958862028408034428263004180878640496799663130966387638338793737117547279400691060646066109605885964951601: ... l.p. = 131

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• Předchozí: Číselné soustavy/Třináctková soustava
• následující: Číselné soustavy/Patnáctková soustava