Číselné soustavy/Čtrnáctková soustava
 Tato stránka je součástí databáze a projektu:
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{cs}
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| 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
[editovat]- 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
[editovat]| × | 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
[editovat]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
[editovat]- 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
[editovat]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
[editovat]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
[editovat]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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[editovat]- Předchozí: Číselné soustavy/Třináctková soustava
- následující: Číselné soustavy/Patnáctková soustava