| 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 |
| Γ | Δ | Ε | Ζ | Η | Θ | Ι | Κ | Λ | Μ | Ν | Ξ | Ο | Π | Ρ | Σ |
| Τ | Υ | Φ | Χ | Ψ | Ω | α | β | γ | δ | ε | ζ | η | θ | ι | κ |
| λ | μ | ν | ξ | ο | π | ρ | ς | σ | τ | υ | φ | χ | ψ | ω | А |
| 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 | 3,924× | (max) 36 nodes | ⮎ 0ψ → χ1 → υ3 → ρ7 → ιF → ΡV → kΒ → Gθ → ΟX → gΖ → OΩ → yn → Aξ → γL → Εh → Mβ → Γj → Iζ → Λb → YΞ → eΘ → SΥ → qv → 4τ → ο9 → εJ → Ιd → UΣ → mz → Cμ → ΨP → wp → 6ς → λD → ΦR → st ⮌ |
| 1,962× | 18 nodes | ⮎ 2φ → σ5 → νB → αN → Αl → Eκ → ΤT → ox → 8π → ηH → ΝZ → cΚ → WΠ → iΔ → Kδ → Ηf → QΧ → ur ⮌ | ||
| 109× | (fixed) 1 node | ⮎ aΜ ⮌ | ||
| 3 | 1 cycle | 227,810× | (fixed) (max) 1 node | ⮎ sψt ⮌ |
| 4 | 21 cycles | 380,376× | (max) 20 nodes | ⮎ cXΞΛ → gXΞΗ → gPΧΗ → wPΧq → w5ςq → ν5ςC → νΩNC → αzlO → ΑDκm → ΦDκS → ΦrtS → s1φu → υ1φ4 → υπ74 → ρθF8 → ιΠVG → ΡjΒW → kHζΓ → ΝHζa → ΝbΚa ⮌ |
| 379,401× | (max) 20 nodes | ⮎ IDκη → ΦΜZS → sbΚu → Y1φΟ → υfΖ4 → ρPΧ8 → ιvpG → Ρ5ςW → νjΒC → αHζO → Νzla → cDκΛ → ΦXΞS → sfΖu → Q1φΨ → υvp4 → ρ5ς8 → νθFC → αΠVO → ΑjΒm ⮌ | ||
| 377,799× | (max) 20 nodes | ⮎ 61φσ → υμB4 → ρΩN8 → ιzlG → ΡDκW → ΦjΒS → sHζu → Ν1φa → υbΚ4 → ρXΞ8 → ιfΖG → ΡPΧW → wjΒq → I5ςη → νΜZC → αbΚO → ΑXΞm → gDκΗ → ΦPΧS → wrtq ⮌ | ||
| 375,620× | (max) 20 nodes | ⮎ E1φλ → υΥR4 → ρrt8 → ι1φG → υΠV4 → ρjΒ8 → ιHζG → ΡΜZW → kbΚΓ → YHζΟ → ΝfΖa → cPΧΛ → wXΞq → g5ςΗ → νPΧC → αvpO → Α5ςm → νDκC → αΥRO → Αrtm ⮌ | ||
| 373,758× | (max) 20 nodes | ⮎ A1φο → υδJ4 → ρΘd8 → ιTΣG → ΡnxW → k9ξΓ → εHζK → ΝΘda → cTΣΛ → oXΞy → g9ξΗ → εPΧK → Ιvpe → U5ςΤ → νnxC → α9ξO → εzlK → ΙDκe → ΦTΣS → snxu ⮌ | ||
| 373,602× | (max) 20 nodes | ⮎ E9ξλ → εΥRK → Ιrte → U1φΤ → υnx4 → ρ9ξ8 → ιδJG → ΡΘdW → kTΣΓ → oHζy → Ν9ξa → εbΚK → ΙXΞe → gTΣΗ → oPΧy → w9ξq → ε5ςK → νΘdC → αTΣO → Αnxm ⮌ | ||
| 372,658× | (max) 20 nodes | ⮎ I9ξη → εΜZK → ΙbΚe → YTΣΟ → ofΖy → Q9ξΨ → εvpK → Ι5ςe → νTΣC → αnxO → Α9ξm → εDκK → ΦΘdS → sTΣu → o1φy → υ9ξ4 → ρδJ8 → ιΘdG → ΡTΣW → ojΒy ⮌ | ||
| 372,428× | (max) 20 nodes | ⮎ A5ςο → νδJC → αΘdO → ΑTΣm → oDκy → Φ9ξS → εrtK → Ι1φe → υTΣ4 → ρnx8 → ι9ξG → εΠVK → ΙjΒe → UHζΤ → Νnxa → c9ξΛ → εXΞK → ΙfΖe → UPΧΤ → wnxq ⮌ | ||
| 372,382× | (max) 20 nodes | ⮎ M5ςγ → νΔhC → αLβO → Εzli → MDκγ → ΦΔhS → sLβu → Ε1φi → υLβ4 → ρΔh8 → ιLβG → ΡΔhW → kLβΓ → ΕHζi → ΝLβa → ΕbΚi → YLβΟ → ΕfΖi → QLβΨ → Εvpi ⮌ | ||
| 362,689× | (max) 20 nodes | ⮎ QHζΨ → Νvpa → c5ςΛ → νXΞC → αfΖO → ΑPΧm → wDκq → Φ5ςS → νrtC → α1φO → υzl4 → ρDκ8 → ιΥRG → ΡrtW → k1φΓ → υHζ4 → ρΜZ8 → ιbΚG → ΡXΞW → kfΖΓ ⮌ | ||
| 360,591× | (max) 20 nodes | ⮎ UDκΤ → ΦnxS → s9ξu → ε1φK → υΘd4 → ρTΣ8 → ιnxG → Ρ9ξW → εjΒK → ΙHζe → ΝTΣa → obΚy → Y9ξΟ → εfΖK → ΙPΧe → wTΣq → o5ςy → ν9ξC → εΩNK → Ιzle ⮌ | ||
| 358,657× | (max) 20 nodes | ⮎ E5ςλ → νΥRC → αrtO → Α1φm → υDκ4 → ρΥR8 → ιrtG → Ρ1φW → υjΒ4 → ρHζ8 → ιΜZG → ΡbΚW → kXΞΓ → gHζΗ → ΝPΧa → wbΚq → Y5ςΟ → νfΖC → αPΧO → Αvpm ⮌ | ||
| 358,147× | (max) 20 nodes | ⮎ YDκΟ → ΦfΖS → sPΧu → w1φq → υ5ς4 → ρμB8 → ιΩNG → ΡzlW → kDκΓ → ΦHζS → Νrta → c1φΛ → υXΞ4 → ρfΖ8 → ιPΧG → ΡvpW → k5ςΓ → νHζC → αΜZO → ΑbΚm ⮌ | ||
| 357,427× | (max) 20 nodes | ⮎ M1φγ → υΔh4 → ρLβ8 → ιΔhG → ΡLβW → ΕjΒi → MHζγ → ΝΔha → cLβΛ → ΕXΞi → gLβΗ → ΕPΧi → wLβq → Ε5ςi → νLβC → αΔhO → ΑLβm → ΕDκi → ΦLβS → Εrti ⮌ | ||
| 357,147× | (max) 20 nodes | ⮎ Q5ςΨ → νvpC → α5ςO → νzlC → αDκO → ΦzlS → sDκu → Φ1φS → υrt4 → ρ1φ8 → υθF4 → ρΠV8 → ιjΒG → ΡHζW → ΝjΒa → cHζΛ → ΝXΞa → gbΚΗ → YPΧΟ → wfΖq ⮌ | ||
| 356,507× | (max) 20 nodes | ⮎ I1φη → υΜZ4 → ρbΚ8 → ιXΞG → ΡfΖW → kPΧΓ → wHζq → Ν5ςa → νbΚC → αXΞO → ΑfΖm → QDκΨ → ΦvpS → s5ςu → ν1φC → υΩN4 → ρzl8 → ιDκG → ΦΠVS → sjΒu ⮌ | ||
| 188,007× | 10 nodes | ⮎ M9ξγ → εΔhK → ΙLβe → ΕTΣi → oLβy → Ε9ξi → εLβK → ΙΔhe → ULβΤ → Εnxi ⮌ | ||
| 173,000× | 10 nodes | ⮎ g1φΗ → υPΧ4 → ρvp8 → ι5ςG → νΠVC → αjΒO → ΑHζm → ΝDκa → ΦbΚS → sXΞu ⮌ | ||
| 85,450× | 5 nodes | ⮎ o9ξy → ε9ξK → εΘdK → ΙTΣe → oTΣy ⮌ | ||
| 85,450× | 5 nodes | ⮎ U9ξΤ → εnxK → Ι9ξe → εTΣK → Ιnxe ⮌ | ||
| 17,534× | (fixed) 1 node | ⮎ ΕLβi ⮌ | ||
| 5 | 2 cycles | 146,790,954× | (max) 4 nodes | ⮎ ΜZψΜb → ΝZψΜa → ΝbψΚa → ΜaψΛb ⮌ |
| 12,208× | 2 nodes | ⮎ trψtt → tψψψs ⮌ | ||
| 6 | 7 cycles | 1,319,461,132× | 148 nodes | ⮎ MA8οξγ → ηδΔhKI → ΝΘLβea → ΕcSΤΚi → qXLβΟw → Εh5ςΕi → νNLβαC → αΕΑkhO → ΑNFθαm → ΡΒDκkW → ΦkGηΒS → ΟsGηtY → Οg0χΖY → χgOΨΖ2 → υyOΨn4 → ρyAνn8 → ιγAνLG → γΡΕgVM → ΕlNΩΑi → ΑMEιβm → ΤΔDκiU → ΦoKγxS → Ηs8οtg → ηQ0χΧI → χΝuqZ2 → υd3τΙ4 → ςπUΡ87 → λθlzGE → ΦΠDκWS → ΦsiΓtS → sK0χδu → χΘ1φe2 → φτSΤ43 → σπpv86 → νθ5ςGC → ναΟWNC → αΒhΔkO → ΑMGηβm → ΟΔDκiY → ΦgKγΖS → ΗsOΨtg → yQ0χΧo → χv9ξq2 → υε4σJ4 → ροΙc98 → ιζVΠIG → ΡΜjΒaW → kbHζΛΓ → ΝZHζΝa → ΝdbΚΙa → cYUΡΞΛ → mfXΞΗΑ → gRDκΦΗ → ΦtPΧsS → ws0χtq → χ60χς2 → χυλC32 → υςΧP64 → ρμvpC8 → ιΩ5ςOG → νΡymVC → αlBμΑO → αΑEιlO → ΤΑEιlU → ΤoEιxU → Τo8οxU → ηo8οxI → ηΝ8οZI → ηΝcΙZI → ΝdVΠΙa → kcUΡΚΓ → mXHζΟΑ → ΝhDκΕa → ΦcMαΚS → ΓsWΟtk → iI0χζΕ → χΜLβa2 → υΕaΛh4 → ρaMαΜ8 → ιΓaΛjG → ΡaIεΜW → ΛkaΛΒc → aYGηΞΝ → ΟfbΚΗY → gYQΦΞΗ → ufPΧΗs → wR1φΦq → υt5ςs4 → ρν0χB8 → χιαMF2 → υΣΒjU4 → ρnHζy8 → ιΝAνZG → γΡcΙVM → ΕlVΠΑi → kMEιβΓ → ΤΔHζiU → ΝoKγxa → Ηc8οΚg → ηXPΧΟI → ΝwgΕpa → cO6ρΩΛ → λzXΞmE → ΦgCλΖS → ΨsOΨtQ → yw0χpo → χA6ρξ2 → υλγKD4 → ρΧΖfQ8 → ιvPΧqG → Ρw4σpW → οk6ρΒA → λεGηJE → ΦΟΙcXS → shVΠΕu → kN1φαΓ → υΒHζk4 → ρΝGηZ8 → ιΟcΙXG → ΡhVΠΕW → ljMαΓΒ → ΓJFθεk → ΡΚHζcW → ΝkWΟΒa → icGηΚΕ → ΟXLβΟY → ΕhfΖΕi → QNLβαΨ → ΕΒvpki → MH5ςηγ → νΞΔhYC → αfLβΗO → ΕΑQΦli → uMEιβs → ΤΔ1φiU → υoKγx4 → ρΗ8οf8 → ιηQΦHG → ΡΞtrYW → kf1φΗΓ → υRHζΦ4 → ρΝssZ8 → ιcψψΙG → θΚNΩcH → ΟΑWΟlY → igEιΖΕ → ΤPLβΨU → Εxnxoi ⮌ |
| 557,654,792× | (max) 171 nodes | ⮎ UNFθαΤ → ΡΒnxkW → kH9ξηΓ → εΞHζYK → ΝΙeΗda → cVRΥΡΛ → slXΞΑu → gF1φιΗ → υΣPΧU4 → ρwmyp8 → ιC6ρμG → λΩΠVOE → ΦzjΒmS → sICλζu → ΨΜ1φaQ → υwaΛp4 → ρa6ρΜ8 → λιaΛFE → ΦΣZΜUS → snbΚyu → YB1φνΟ → υβfΖM4 → ρΔPΧi8 → ιwKγpG → ΡΗ6ρfW → λkQΦΒE → ΦuGηrS → Οs2υtY → σg0χΖ6 → χνOΨB2 → υβxnM4 → ρΔ9ξi8 → ιεKγJG → ΡΚΖfcW → kXPΧΟΓ → whHζΕq → ΝN5ςαa → νΒbΚkC → αYGηΞO → ΟΑeΗlY → gSEιΥΗ → ΤrPΧuU → wo2υxq → σ95ςο6 → ξμεICB → γΩΚbOM → ΕzXΞmi → gMCλβΗ → ΨΔPΧiQ → xvKγqp → Η84σπg → οθPΧGA → εΠvpWK → Ιj5ςΓe → νUIεΣC → αΛmybO → ΑZBμΝm → αdDκΙO → ΦΑUΡlS → smEιzu → ΤD1φλU → υΧnxQ4 → ρv9ξq8 → ιε4σJG → οΡΙcVA → εlVΠΑK → ΙkEιΒe → ΤUGηΣU → ΟomyxY → gC8ομΗ → ηΩPΧOI → Νzvpma → cD5ςλΛ → νΧXΞQC → αvfΖqO → ΑQ4σΧm → οvDκqA → εΦ4σRK → οΙssdA → εUψψΡK → δΣBμUL → αΗmyfO → ΑRBμΦm → αtDκsO → ΦΑ0χlS → χsEιt2 → υΤ0χT4 → χρow72 → υκ7πE4 → ριΤSF8 → ιΣpvUG → Ρn5ςyW → νkAνΒC → γαGηNM → ΟΕΑkhY → gNFθαΗ → ΡΒPΧkW → wkGηΒq → ΟH5ςηY → νΞfΖYC → αfPΧΗO → ΑwQΦpm → uE6ρκs → λΥ1φSE → υΦquR4 → ρt3τs8 → ρι0χF8 → χιΡUF2 → υΣlzU4 → ρnDκy8 → ιΦAνRG → γΡssVM → ΕkψψΑi → ΔΒ3τkj → ρKGηδ8 → ιΟΗeXG → ΡhRΥΕW → skMαΒu → ΓH1φηk → υΞHζY4 → ρΝeΗZ8 → ιdRΥΙG → ΡsUΡtW → mk0χΒΑ → χHDκη2 → υΦΝYR4 → ρtdΘs8 → ιU0χΣG → χΡmyV2 → υlBμΑ4 → ραEιN8 → ιΤΑkTG → ΡpFθwW → Ρk6ρΒW → λkGηΒE → ΦΟGηXS → ΟsgΕtY → gO0χΩΗ → χzPΧm2 → υwCλp4 → ρΨ6ρP8 → λιwoFE → ΦΣ7πUS → ιsmytG → ΡC0χμW → χΩjΒO2 → υzHζm4 → ρΝCλZ8 → ιΨcΙPG → ΡxVΠoW → lj8οΓΒ → ηJFθεI → ΡΝΙcZW → kdVΠΙΓ → kVHζΡΓ → ΝlHζΑa → ΝcEιΚa → ΤcWΟΚU → oiWΟΔy → iL9ξγΕ → εΖLβgK → ΙΕOΨhe → yUMαΣo → Γn9ξyk → εIAνζK → γΜΘdaM → ΕbTΣΛi → oZLβΝy → Εd9ξΙi → εVLβΡK → ΙΕkΑhe ⮌ | ||
| 429,752,327× | 71 nodes | ⮎ MKEιδγ → ΤΘΔheU → oTLβΤy → Εp9ξwi → εM6ρβK → λΙΓidE → ΦVJδΡS → ΙskΑte → UG0χθΤ → χΠnxW2 → υj9ξΓ4 → ρεIεJ8 → ιΛΙcbG → ΡZVΠΝW → ljcΙΓΒ → WJFθεΡ → ΡΚjΒcW → kXHζΟΓ → ΝhHζΕa → ΝcMαΚa → ΓcWΟΚk → iXHζΟΕ → ΝhLβΕa → ΕcMαΚi → ΓXLβΟk → ΕhHζΕi → ΝNLβαa → ΕΒbΚki → YMGηβΟ → ΟΔfΖiY → gQKγΧΗ → ΗvPΧqg → wQ4σΧq → οv5ςqA → νε4σJC → οαΙcNA → εΒVΠkK → ΙkGηΒe → ΟUGηΣY → ΟnfΖyY → gQAνΧΗ → γvPΧqM → Εw4σpi → οM6ρβA → λεΓiJE → ΦΚJδcS → ΙsWΟte → iU0χΣΕ → χnLβy2 → υΕAνh4 → ργMαL8 → ιΖΒjgG → ΡPHζΨW → ΝxjΒoa → cI8οζΛ → ηΜXΞaI → ΝgaΛΖa → caOΨΜΛ → ybXΞΛo → gZ9ξΝΗ → εdPΧΙK → ΙwUΡpe → mU6ρΣΑ → λnDκyE → ΧΥAνSR → γuqurM → Ε42υτi → σπLβ86 → νθΔhGC → αΠLβWO → ΕΑiΓli ⮌ | ||
| 347,428,550× | 75 nodes | ⮎ SLDκγΦ → ΦΖrtgS → sP1φΨu → υx1φo4 → υρ8ο74 → ρκζHE8 → ιΥΜZSG → ΡrbΚuW → kY2υΞΓ → σfHζΗ6 → νΝQΦZC → αucΙrO → ΑW2υΠm → σjDκΓ6 → νΦIεRC → αΛssbO → ΑYψψΝm → ΞzBμmZ → αeCλΘO → ΨΑSΤlQ → wqEιvq → Τ64σςU → ομnxCA → εΩ9ξOK → εΙymdK → ΙVBμΡe → αlTΣΑO → ΑoEιxm → ΤE8οκU → ηΥnxSI → Νr9ξua → εc2υΚK → σΙWΟd6 → νiUΡΔC → αmKγzO → ΗΑCλlg → ΨQEιΧQ → ΤwuqpU → o73τρy → ρκ9ξE8 → ιεΤSJG → ΡΚpvcW → kX5ςΟΓ → νhHζΕC → αΝMαZO → ΓΑcΙlk → WIEιζΡ → ΤΜjΒaU → obHζΛy → ΝZ9ξΝa → εdbΚΙK → ΙYUΡΞe → mfTΣΗΑ → oRDκΦy → Φt9ξsS → εs0χtK → χΙ0χd2 → χυUΡ32 → υςlz64 → ρμDκC8 → ιΩΥROG → ΡzrtmW → kD1φλΓ → υΧHζQ4 → ρΝuqZ8 → ιd3τΙG → ρΡUΡV8 → ιmkΑzG → ΡGCλθW → ΨΠjΒWQ → wjHζΓq → ΝJ5ςεa → νΚbΚcC → αYWΟΞO → ΑieΗΔm ⮌ | ||
| 157,496,374× | 93 nodes | ⮎ IA4σξη → οδΜZKA → εΘbΚeK → ΙYSΤΞe → qfTΣΗw → oR5ςΦy → νt9ξsC → εα0χNK → χΙΑkd2 → υVFθΡ4 → ρΡkΑV8 → ιlFθΑG → ΣΠEιWV → ΤmiΓzU → oKCλδy → ΨΘ9ξeQ → εwSΤpK → Ιq6ρve → λU4σΣE → οΦmyRA → εtBμsK → αΙ0χdO → χΑUΡl2 → υmEιz4 → ρΤCλT8 → ιΨowPG → Ρx7πoW → ιk8οΒG → ηΡGηVI → ΟΝkΑZY → gdFθΙΗ → ΡVPΧΡW → wljΒΑq → IF5ςιη → νΣΜZUC → αnbΚyO → ΑYAνΞm → γfDκΗM → ΦΕQΦhS → usMαts → Γ20χφk → χτHζ42 → υπΜZ84 → ρθbΚG8 → ιΠXΞWG → ΡjfΖΓW → kQIεΧΓ → ΛvHζqc → ΝY4σΞa → οfbΚΗA → εYQΦΞK → ΙueΗre → US2υΥΤ → σrnxu6 → νA2υξC → σδΩNK6 → νΘzleC → αTDκΤO → ΦΑowlS → sF7πιu → ιΣ1φUG → υΡmyV4 → ρlBμΑ8 → ιαEιNG → ΤΡΑkVU → olFθΑy → ΡF9ξιW → εΣjΒUK → ΙnHζye → ΝUAνΣa → γnbΚyM → ΕYAνΞi → γfLβΗM → ΖΔQΦih → uOKγΩs → Ηz1φmg → υQCλΧ4 → ρΨuqP8 → ιx3τoG → ρΡ8οV8 → ιηkΑHG → ΡΞFθYW → ΡkeΗΒW → kSGηΥΓ → ΟrHζuY → Νg2υΖa → σcOΨΚ6 → νyWΟnC → αiAνΔO → γΑKγlM → ΗΕEιhg → ΤQMαΧU → Γvnxqk ⮌ | ||
| 1,933,015× | 18 nodes | ⮎ ΝΛ0χba → χcYΝΚ2 → υeWΟΘ4 → ρiSΤΔ8 → ιqKγvG → ΡΗ4σfW → οkQΦΒA → εuGηrK → ΟΙ2υdY → σgUΡΖ6 → νmOΨzC → αyCλnO → ΨΑAνlQ → γwEιpM → ΤΕ6ρhU → λoMαxE → ΦΓ8οjS → ηsIεtI ⮌ | ||
| 3,080× | (fixed) 1 node | ⮎ tsψψst ⮌ | ||
| 7+ | - | - | - | Not showing digit sets 7+ due to verbosity. |