| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | # Full Cycles (excluding zero) |
Frequency | Cycle Length |
Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|---|
| 1 | 0 cycles | - | - | - |
| 2 | 3 cycles | 600× | (max) 5 nodes | ⮎ 1x → v3 → r7 → jF → TV ⮌ |
| 600× | (max) 5 nodes | ⮎ 5t → nB → bN → Dl → XR ⮌ | ||
| 600× | (max) 5 nodes | ⮎ 9p → fJ → Ld → Hh → PZ ⮌ | ||
| 3 | 1 cycle | 39,650× | (max) 2 nodes | ⮎ TyV → UyU ⮌ |
| 4 | 15 cycles | 44,592× | (max) 30 nodes | ⮎ 74ts → pkDA → fWRK → L4te → pIfA → fMbK → LEje → VIfU → N0xc → xEj2 → vUT4 → r0x8 → xiF2 → vSV4 → r2v8 → tiF6 → nSVC → b2vO → tCl6 → nYPC → b8pO → hClI → ZOZQ → B8po → hcLI → PGha → RAnY → d6rM → lGhE → XQXS ⮌ |
| 44,484× | (max) 30 nodes | ⮎ 72vs → tkD6 → nWRC → b4tO → pClA → fYPK → L8pe → hIfI → PMba → FAnk → dUTM → H0xi → xQX2 → v6r4 → rkD8 → jWRG → T4tW → p2vA → teJ6 → nKdC → bIfO → NClc → ZEjQ → V8pU → h0xI → xOZ2 → vAn4 → rcL8 → jGhG → TQXW ⮌ | ||
| 44,320× | (max) 30 nodes | ⮎ 30xw → xs52 → vmB4 → raN8 → jClG → ZSVQ → 92vq → tgH6 → nOZC → bAnO → dClM → ZGhQ → R8pY → h6rI → lOZE → XAnS → d4tM → pGhA → fQXK → L6re → lIfE → XMbS → F4tk → pUTA → f0xK → xKd2 → vIf4 → rMb8 → jEjG → VSVU ⮌ | ||
| 44,250× | (max) 30 nodes | ⮎ D8pm → hYPI → P8pa → hAnI → dOZM → HAni → dQXM → H6ri → lQXE → X6rS → l4tE → pWRA → f4tK → pKdA → fIfK → NKdc → JEjg → VMbU → F0xk → xUT2 → v0x4 → xq72 → viF4 → rSV8 → j2vG → tSV6 → n2vC → taN6 → nClC → bYPO ⮌ | ||
| 44,150× | (max) 30 nodes | ⮎ 96rq → lgHE → XOZS → B4to → pcLA → fGhK → RKdY → J6rg → lMbE → XEjS → V4tU → p0xA → xeJ2 → vKd4 → rIf8 → jMbG → TEjW → V2vU → t0x6 → xmB2 → vaN4 → rCl8 → jYPG → T8pW → h2vI → tOZ6 → nAnC → daNM → HCli → ZQXQ ⮌ | ||
| 44,087× | (max) 30 nodes | ⮎ LIfe → NIfc → NEjc → VEjU → V0xU → x0x2 → xu32 → vq74 → riF8 → jSVG → T2vW → t2v6 → tmB6 → naNC → bClO → ZClQ → Z8pQ → h8pI → hOZI → PAna → dAnM → dGhM → RGhY → R6rY → l6rE → lWRE → X4tS → p4tA → peJA → fKdK ⮌ | ||
| 44,010× | (max) 30 nodes | ⮎ 70xs → xkD2 → vWR4 → r4t8 → piFA → fSVK → L2ve → tIf6 → nMbC → bEjO → VClU → Z0xQ → x8p2 → vgH4 → rOZ8 → jAnG → dSVM → H2vi → tQX6 → n6rC → laNE → XClS → Z4tQ → p8pA → heJI → PKda → JAng → dMbM → HEji → VQXU ⮌ | ||
| 43,894× | (max) 30 nodes | ⮎ B2vo → tcL6 → nGhC → bQXO → D6rm → lYPE → X8pS → h4tI → pOZA → fAnK → dKdM → JGhg → RMbY → F6rk → lUTE → X0xS → x4t2 → vo94 → reJ8 → jKdG → TIfW → N2vc → tEj6 → nUTC → b0xO → xCl2 → vYP4 → r8p8 → jgHG → TOZW ⮌ | ||
| 43,840× | (max) 30 nodes | ⮎ 50xu → xo92 → veJ4 → rKd8 → jIfG → TMbW → F2vk → tUT6 → n0xC → xaN2 → vCl4 → rYP8 → j8pG → hSVI → P2va → tAn6 → ncLC → bGhO → RClY → Z6rQ → l8pE → hWRI → P4ta → pAnA → fcLK → LGhe → RIfY → N6rc → lEjE → XUTS ⮌ | ||
| 43,654× | (max) 30 nodes | ⮎ 90xq → xgH2 → vOZ4 → rAn8 → jcLG → TGhW → R2vY → t6r6 → nkDC → bWRO → D4tm → pYPA → f8pK → hKdI → PIfa → NAnc → dEjM → VGhU → R0xY → x6r2 → vkD4 → rWR8 → j4tG → pSVA → f2vK → tKd6 → nIfC → bMbO → FClk → ZUTQ ⮌ | ||
| 43,650× | (max) 30 nodes | ⮎ 52vu → to96 → neJC → bKdO → JClg → ZMbQ → F8pk → hUTI → P0xa → xAn2 → vcL4 → rGh8 → jQXG → T6rW → l2vE → tWR6 → n4tC → paNA → fClK → ZKdQ → J8pg → hMbI → PEja → VAnU → d0xM → xGh2 → vQX4 → r6r8 → liFE → XSVS ⮌ | ||
| 43,120× | (max) 30 nodes | ⮎ B6ro → lcLE → XGhS → R4tY → p6rA → leJE → XKdS → J4tg → pMbA → fEjK → VKdU → J0xg → xMb2 → vEj4 → rUT8 → j0xG → xSV2 → v2v4 → tq76 → niFC → bSVO → D2vm → tYP6 → n8pC → haNI → PCla → ZAnQ → d8pM → hGhI → ROZY ⮌ | ||
| 43,060× | (max) 30 nodes | ⮎ DAnm → dYPM → H8pi → hQXI → P6ra → lAnE → dWRM → H4ti → pQXA → f6rK → lKdE → XIfS → N4tc → pEjA → fUTK → L0xe → xIf2 → vMb4 → rEj8 → jUTG → T0xW → x2v2 → vs54 → rmB8 → jaNG → TClW → Z2vQ → t8p6 → ngHC → bOZO ⮌ | ||
| 43,038× | (max) 30 nodes | ⮎ 94tq → pgHA → fOZK → LAne → dIfM → NGhc → REjY → V6rU → l0xE → xWR2 → v4t4 → ro98 → jeJG → TKdW → J2vg → tMb6 → nEjC → bUTO → D0xm → xYP2 → v8p4 → rgH8 → jOZG → TAnW → d2vM → tGh6 → nQXC → b6rO → lClE → ZWRQ ⮌ | ||
| 21,166× | 15 nodes | ⮎ B0xo → xcL2 → vGh4 → rQX8 → j6rG → lSVE → X2vS → t4t6 → pmBA → faNK → LCle → ZIfQ → N8pc → hEjI → VOZU ⮌ | ||
| 5 | 2 cycles | 5,484,601× | 3 nodes | ⮎ eIyfL → gJyeJ → fMybK ⮌ |
| 2,775,226× | (max) 4 nodes | ⮎ eJyeL → fIyfK → gKydJ → fLycK ⮌ | ||
| 6 | 9 cycles | 52,304,381× | (max) 59 nodes | ⮎ FD3ulk → rYUTQ8 → j80xqG → xiSVG2 → vS2vW4 → tr3u76 → rnjEB8 → jcUTMG → TG0xiW → xS2vW2 → vt3u54 → sqnA87 → licLGE → XSGhWS → R53utY → ro6rA8 → ljdKFE → XUIfUS → N4yytc → ubGhN5 → pRDkXA → fX5sRK → nL5sdC → nbHgNC → bPDkZO → XD9olS → fY4tQK → pL7qdA → jfHgJG → TPLcZW → HA2voi → teQXK6 → nK6reC → lbJeNE → XLDkdS → XI4tgS → pO4taA → pfBmJA → fbLcNK → LHDkhe → XQIfYS → N84tqc → piEjGA → fVRWTK → L51wte → voIfA4 → reMbK8 → jKEjeG → VTJeVU → L20xwe → xuIf42 → vqMb84 → riEjG8 → jVRWTG → T51wtW → vo2vA4 → trdK76 → nkIfEC → bWMbSO ⮌ |
| 18,538,826× | 5 nodes | ⮎ jW0xSG → xT3uV2 → vr1w74 → vrjE74 → rkUTE8 ⮌ | ||
| 14,213,720× | 5 nodes | ⮎ D91wpm → vgYPI4 → rO8pa8 → jhBmHG → bTPYVO ⮌ | ||
| 2,716,171× | 24 nodes | ⮎ D42vum → tqYP86 → ni8pGC → hbRWNI → PE4tka → pWAnSA → fd3uLK → rLHgd8 → jPHgZG → TP9oZW → fA2voK → teKdK6 → nKIfeC → bNJebO → LEClke → ZWIfSQ → N93upc → rgEjI8 → jVNaTG → TD1wlW → vY2vQ4 → tr7q76 → nkiFEC → bWSVSO ⮌ | ||
| 917,413× | 5 nodes | ⮎ fT5sVK → nL1wdC → vbHgN4 → rPDkZ8 → jX9oRG ⮌ | ||
| 818,548× | 5 nodes | ⮎ fb1wNK → vLDkd4 → rXHgR8 → jP5sZG → nT9oVC ⮌ | ||
| 562,992× | 5 nodes | ⮎ jX5sRG → nT5sVC → nb1wNC → vbDkN4 → rXDkR8 ⮌ | ||
| 553,460× | 5 nodes | ⮎ fL1wdK → vLHgd4 → rPHgZ8 → jP9oZG → fT9oVK ⮌ | ||
| 233,196× | 2 nodes | ⮎ nE2vkC → tbVSN6 ⮌ | ||
| 7 | 3 cycles | 717,845,445× | 2 nodes | ⮎ jVEyjTG → kTFyiVF ⮌ |
| 76,296,854× | (max) 4 nodes | ⮎ iTDykVH → lTEyjVE → kXFyiRF → jVGyhTG ⮌ | ||
| 75,505,848× | 2 nodes | ⮎ kVDykTF → lVGyhTE ⮌ | ||
| 8 | 10 cycles | 6,518,765,657× | (max) 111 nodes | ⮎ LC62vsme → tmaIfOC6 → naNBmbOC → caEBmkON → bWFBmjSO → bUD3ulUO → rYCyylQ8 → qmRClXC9 → haZ5sPOI → nPC9omZC → fba9oONK → fLEBmkdK → bWLHgdSO → PID3ulga → rYOAnaQ8 → jdC7qmLG → jaTHgVOG → TPC1wmZW → vaA2voO4 → treBmK76 → nkbJeNEC → bWLDkdSO → XID3ulgS → rYO4taQ8 → pjC7qmFA → jfaTUOJG → TMC0xmcW → xaG2viO2 → vtSBmW54 → rob3uNA8 → rjeDkKF8 → jXUJeURG → TL5yysdW → tdP6rZL6 → nlI9ogDC → fbYNaQNK → LED7qlke → jYWIfSQG → TN83uqbW → riE2vkG8 → tjWRWSF6 → nU53utUC → roayyNA8 → qoUDkUA9 → heWyyRKI → geG7qiKJ → jSNJebWG → TLE3ukdW → rWI2vgS8 → tjO3uaF6 → rnUBmUB8 → jcayyNMG → icM1wcMH → vRGFiiX4 → rTS5sWV8 → nj41wuFC → vqbTUN84 → riE0xkG8 → xjWRWSF2 → vU53utU4 → sqnyyA87 → rqi2vG88 → tjiRWGF6 → nUS4tWUC → pb3yyuNA → voXDkRA4 → reX5sRK8 → njK5seFC → nbUJeUNC → bLDyykdO → ldM1wcLE → vXIFigR4 → rTO5saV8 → njC1wmFC → vbaTUON4 → rEC0xmk8 → xjaVSOF2 → vUC2vmU4 → trZyyO76 → srVHgT77 → lkP1wZEE → vXW9oSR4 → rf63usJ8 → rmjLcFC8 → jaUGhUOG → TRByymXW → nXJ0xfRC → xbM5scN2 → vnGDkiB4 → rcXRWRM8 → jG64tsiG → pmTRWVCA → fa51wtOK → voLBmdA4 → rebHgNK8 → jPKDkeZG → XTK9oeVS → fK51wteK → voLJedA4 → reLHgdK8 → jPKHgeZG → TPK9oeZW → fKA2voeK → teLJedK6 → nLKHgedC → bPKHgeZO → PKD9olea → fYKAneQK → dLK7qedM → jKIGhgeG → TROJeaXW ⮌ |
| 511,797,944× | 75 nodes | ⮎ FC40xumk → xqaUTO82 → viC0xmG4 → xraRWO72 → vkC4tmE4 → rpaVSO98 → jgC2vmIG → taTNaVO6 → nDC1wmlC → vbaXQON4 → rEC6rmk8 → ljaVSOFE → XUC2vmUS → ta4yytO6 → usVIfT65 → pmN1wbCA → vfaDkOJ4 → rXMBmcR8 → jbG5siNG → nTSDkWVC → bX41wuRO → vqD5sl84 → rniXQGB8 → jcS6rWMG → lTG3uiVE → rXS1wWR8 → vj63usF4 → sqmTUC87 → lia0xOGE → xXSBmWR2 → vb63usN4 → sqmDkC87 → liaWROGE → XSC4tmWS → pa53utOA → rofBmJA8 → jebLcNKG → TKHDkheW → XQK2veYS → tK84tqe6 → pniJeGBA → fcSKdWMK → LJG3uife → rSMIfcW8 → jNG3uibG → rTSDkWV8 → jX41wuRG → vqT5sV84 → rni1wGB8 → vjcRWMF4 → rUG4tiU8 → pjRyyWFA → ojOClaFB → dZUBmUPM → bH9yyohO → phQ5sYHA → nfQ7qYJC → jbM7qcNG → jTGDkiVG → XTS1wWVS → v541wut4 → vrqnA874 → rkicLGE8 → jWSGhWSG → TR43uuXW → rq62vs88 → tmjhGFC6 → naUQXUOC → bC6yyrmO → smTAnVC7 → lda1wOLE → vXIBmgR4 → rbO5saN8 → njEBmkFC → caWTUSON ⮌ | ||
| 156,462,069× | 58 nodes | ⮎ LEDBmlke → bYWIfSQO → ND83uqlc → riYEjQG8 → jVS7qWTG → jT41wuVG → vqT1wV84 → vri1wG74 → vrkRWE74 → rkW4tSE8 → pjW3uSFA → rfU3uUJ8 → rjLyycF8 → qjW6rSF9 → lhU3uUHE → rXPyyYR8 → qZQ0xYP9 → xhA7qoH2 → vjePYKF4 → rUK8peU8 → jhJyyeHG → ihQ2vYHH → tRQ7qYX6 → nj85sqFC → nibTUNGC → bSE0xkWO → xWD3ulS2 → vrY3uQ74 → sqk7qE87 → ljiVSGFE → XUS2vWUS → t53yyut6 → vtnyyA54 → utl5sD55 → ponXQBAA → fec6rMKK → lLKFiedE → XTKHgeVS → PK51wtea → voKAneA4 → redJeLK8 → jLKHgedG → TPKHgeZW → PKA2voea → teKAneK6 → ndKJeeLC → bLKHgedO → PKIClgea → ZOKAneaQ → dKC8pmeM → haKGheOI → RPKBmeZY → bKA6roeO → leKCleKE → ZXKJeeRQ → LK95spee → ngKIfeIC → bONJebaO ⮌ | ||
| 58,551,131× | 11 nodes | ⮎ T864tsqW → pmi2vGCA → tfaRWOJ6 → nMC4tmcC → pbaFiONA → fTEBmkVK → bWL1wdSO → vID3ulg4 → sqYNaQ87 → liD7qlGE → jYXRWRQG ⮌ | ||
| 53,201,721× | 5 nodes | ⮎ fTK5seVK → nLK1wedC → vbKHgeN4 → rPKDkeZ8 → jXK9oeRG ⮌ | ||
| 41,610,060× | 17 nodes | ⮎ TP85sqZW → niA2voGC → tebRWNK6 → nKE4tkeC → pbWJeSNA → fLE3ukdK → rWLHgdS8 → jPI3ugZG → rTO9oaV8 → jfC1wmJG → vaTLcVO4 → rHC1wmh8 → vjaPYOF4 → rUC8pmU8 → jhZyyOHG → ihL7qdHH → jRQHgYXG ⮌ | ||
| 24,441,379× | 5 nodes | ⮎ fLK1wedK → vLKHged4 → rPKHgeZ8 → jPK9oeZG → fTK9oeVK ⮌ | ||
| 14,729,453× | 5 nodes | ⮎ jXK5seRG → nTK5seVC → nbK1weNC → vbKDkeN4 → rXKDkeR8 ⮌ | ||
| 10,674,679× | 5 nodes | ⮎ fbK1weNK → vLKDked4 → rXKHgeR8 → jPK5seZG → nTK9oeVC ⮌ | ||
| 1,775,614× | 2 nodes | ⮎ nEC2vmkC → tbaVSON6 ⮌ | ||
| 9+ | - | - | - | Not showing digit sets 9+ due to verbosity. |