| 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 |
| Б | В | Г | Д | Е | Ж | З | И | Й | К | Л | М | Н | О | П | Р |
| 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 | 5 cycles | 2,808× | (max) 24 nodes | ⮎ 0Ж → Е1 → Г3 → ω7 → ρF → αV → sΒ → 8ψ → οH → ΦZ → kΚ → Oθ → Ηn → Iξ → Τb → gΞ → WΩ → qΔ → Cτ → ηP → Εp → Eς → γT → wx ⮌ |
| 2,808× | (max) 24 nodes | ⮎ 2Д → Б5 → υB → ιN → Ιl → Mκ → Λj → Qζ → Γr → Aφ → λL → Νh → Uβ → uz → 4В → χ9 → νJ → Ρd → cΣ → eΠ → aΥ → iΜ → Sδ → yv ⮌ | ||
| 468× | 4 nodes | ⮎ 6А → σD → εR → Αt ⮌ | ||
| 468× | 4 nodes | ⮎ Kμ → Οf → YΧ → mΘ ⮌ | ||
| 351× | 3 nodes | ⮎ Gπ → ΨX → oΖ ⮌ | ||
| 3 | 1 cycle | 280,722× | (fixed) (max) 1 node | ⮎ wЖx ⮌ |
| 4 | 14 cycles | 614,559× | (max) 29 nodes | ⮎ M9φλ → νΜhK → ΡTβe → wbΣy → g1ДΟ → ГXΧ4 → ωnΖ8 → ρHξG → αΥZW → sjΚΓ → Q9φη → νΔpK → ΡDςe → εbΣS → ΑfΞu → Y5АΨ → υnΖC → ιHξO → ΦΘla → kLκΛ → ΝPζi → ΕTβq → wDςy → ε1ДS → Гzt4 → ω5А8 → υπFC → ιΩVO → ΙrΒm ⮌ |
| 612,288× | (max) 29 nodes | ⮎ gXΧΟ → oXΧΗ → oHξΗ → ΦHξa → ΦjΚa → kPζΛ → ΕPζq → ΕDςq → εDςS → εztS → Α5Аu → υ5АC → υθNC → ιΘlO → ΙLκm → ΝLκi → ΝTβi → wTβy → w1Дy → Г1Д4 → Гψ74 → ωπF8 → ρΩVG → αrΒW → s9φΓ → ν9φK → νΠdK → ΡbΣe → gbΣΟ ⮌ | ||
| 612,127× | (max) 29 nodes | ⮎ 61ДБ → ГτB4 → ωθN8 → ρΘlG → αLκW → ΝrΒi → U9φγ → νvxK → Ρ1Дe → ГbΣ4 → ωfΞ8 → ρXΧG → αnΖW → sHξΓ → Φ9φa → νjΚK → ΡPζe → ΕbΣq → gDςΟ → εXΧS → ΑnΖu → I5Аο → υΥZC → ιjΚO → ΙPζm → ΕLκq → ΝDςi → εTβS → Αvxu ⮌ | ||
| 607,820× | (max) 29 nodes | ⮎ I9φο → νΥZK → ΡjΚe → cPζΤ → ΕfΞq → YDςΨ → εnΖS → ΑHξu → Φ5Аa → υjΚC → ιPζO → ΙΔpm → MDςλ → εΜhS → ΑTβu → w5Аy → υ1ДC → ГθN4 → ωΘl8 → ρLκG → αΜhW → sTβΓ → w9φy → ν1ДK → ГΠd4 → ωbΣ8 → ρfΞG → αXΧW → snΖΓ ⮌ | ||
| 607,562× | (max) 29 nodes | ⮎ M1Дλ → ГΜh4 → ωTβ8 → ρvxG → α1ДW → ГrΒ4 → ω9φ8 → ρμJG → αΠdW → sbΣΓ → g9φΟ → νXΧK → ΡnΖe → cHξΤ → ΦfΞa → kXΧΛ → oPζΗ → ΕHξq → ΦDςa → εjΚS → ΑPζu → Ε5Аq → υDςC → ιδRO → Ιztm → M5Аλ → υΜhC → ιTβO → Ιvxm ⮌ | ||
| 606,864× | (max) 29 nodes | ⮎ E1Дσ → ГδR4 → ωzt8 → ρ5АG → υΩVC → ιrΒO → Ι9φm → νLκK → ΡΜhe → cTβΤ → wfΞy → Y1ДΨ → ГnΖ4 → ωHξ8 → ρΥZG → αjΚW → sPζΓ → Ε9φq → νDςK → εΠdS → ΑbΣu → g5АΟ → υXΧC → ιnΖO → ΙHξm → ΦLκa → ΝjΚi → UPζγ → Εvxq ⮌ | ||
| 605,296× | (max) 29 nodes | ⮎ QLκη → ΝΔpi → UDςγ → εvxS → Α1Дu → Г5А4 → ωτB8 → ρθNG → αΘlW → sLκΓ → Ν9φi → νTβK → Ρvxe → c1ДΤ → ГfΞ4 → ωXΧ8 → ρnΖG → αHξW → ΦrΒa → k9φΛ → νPζK → ΡΔpe → cDςΤ → εfΞS → ΑXΧu → o5АΗ → υHξC → ιΥZO → ΙjΚm ⮌ | ||
| 605,206× | (max) 29 nodes | ⮎ QDςη → εΔpS → ΑDςu → ε5АS → υztC → ι5АO → υΘlC → ιLκO → ΝΘli → ULκγ → Νvxi → U1Дγ → Гvx4 → ω1Д8 → ГπF4 → ωΩV8 → ρrΒG → α9φW → νrΒK → Ρ9φe → νbΣK → ΡfΞe → cXΧΤ → ofΞΗ → YHξΨ → ΦnΖa → kHξΛ → ΦPζa → ΕjΚq ⮌ | ||
| 605,140× | (max) 29 nodes | ⮎ IDςο → εΥZS → ΑjΚu → Q5Аη → υΔpC → ιDςO → εΘlS → ΑLκu → Ν5Аi → υTβC → ιvxO → Ι1Дm → ГLκ4 → ωΜh8 → ρTβG → αvxW → s1ДΓ → Г9φ4 → ωμJ8 → ρΠdG → αbΣW → sfΞΓ → Y9φΨ → νnΖK → ΡHξe → ΦbΣa → kfΞΛ → YPζΨ → ΕnΖq ⮌ | ||
| 604,476× | (max) 29 nodes | ⮎ E5Аσ → υδRC → ιztO → Ι5Аm → υLκC → ιΜhO → ΙTβm → wLκy → Ν1Дi → ГTβ4 → ωvx8 → ρ1ДG → ГΩV4 → ωrΒ8 → ρ9φG → νΩVK → ΡrΒe → c9φΤ → νfΞK → ΡXΧe → obΣΗ → gHξΟ → ΦXΧa → ojΚΗ → QHξη → ΦΔpa → kDςΛ → εPζS → Εztq ⮌ | ||
| 604,082× | (max) 29 nodes | ⮎ E9φσ → νδRK → Ρzte → c5АΤ → υfΞC → ιXΧO → ΙnΖm → MHξλ → ΦΜha → kTβΛ → wPζy → Ε1Дq → ГDς4 → ωδR8 → ρztG → α5АW → υrΒC → ι9φO → νΘlK → ΡLκe → ΝbΣi → gTβΟ → wXΧy → o1ДΗ → ГHξ4 → ωΥZ8 → ρjΚG → αPζW → ΕrΒq ⮌ | ||
| 604,036× | (max) 29 nodes | ⮎ A1Дχ → ГμJ4 → ωΠd8 → ρbΣG → αfΞW → sXΧΓ → o9φΗ → νHξK → ΦΠda → kbΣΛ → gPζΟ → ΕXΧq → oDςΗ → εHξS → Φzta → k5АΛ → υPζC → ιΔpO → ΙDςm → εLκS → Νzti → U5Аγ → υvxC → ι1ДO → ГΘl4 → ωLκ8 → ρΜhG → αTβW → wrΒy ⮌ | ||
| 603,144× | (max) 29 nodes | ⮎ I1Дο → ГΥZ4 → ωjΚ8 → ρPζG → αΔpW → sDςΓ → ε9φS → νztK → Ρ5Аe → υbΣC → ιfΞO → ΙXΧm → oLκΗ → ΝHξi → ΦTβa → wjΚy → Q1Дη → ГΔp4 → ωDς8 → ρδRG → αztW → s5АΓ → υ9φC → νθNK → ΡΘle → cLκΤ → ΝfΞi → YTβΨ → wnΖy ⮌ | ||
| 602,692× | (max) 29 nodes | ⮎ A5Аχ → υμJC → ιΠdO → ΙbΣm → gLκΟ → ΝXΧi → oTβΗ → wHξy → Φ1Дa → ГjΚ4 → ωPζ8 → ρΔpG → αDςW → εrΒS → Α9φu → ν5АK → υΠdC → ιbΣO → ΙfΞm → YLκΨ → ΝnΖi → UHξγ → Φvxa → k1ДΛ → ГPζ4 → ωΔp8 → ρDςG → εΩVS → ΑrΒu ⮌ | ||
| 5 | 3 cycles | 137,957,064× | 3 nodes | ⮎ ΡbЖΣe → ΤcЖΡc → ΣfЖΞd ⮌ |
| 69,316,782× | (max) 4 nodes | ⮎ ΡcЖΡe → ΣbЖΣd → ΤdЖΠc → ΣeЖΟd ⮌ | ||
| 14,040× | 2 nodes | ⮎ xvЖxx → xЖЖЖw ⮌ | ||
| 6 | 6 cycles | 3,682,487,176× | (max) 188 nodes | ⮎ A86ωψχ → σπμJGE → εΩΠdWS → ΑrbΣΓu → gB5АυΟ → υκXΧMC → ιΜnΖiO → ΙTHξγm → ΦxLκwa → Νk0ЕΚi → ЕUOηβ2 → ГΗuyn4 → ωJ3Вν8 → ωρΡcF8 → ρβdΠUG → αvbΣyW → sg2ГΞΓ → БX9φΨ6 → υνoΕJC → ιΣFπcO → αΙeΟlW → saMιΥΓ → Λj9φΛk → νRPζεK → ΡΕΑspe → cF7ψρΤ → ρβfΞUG → αvXΧyW → so2ГΖΓ → БH9φο6 → υνΦYJC → ιΣlΘcO → ΙfLκΟm → ΝZLκΦi → ΝlTβΙi → wUMιβy → Λv1Дyk → ГQ2Гζ4 → БωΓq76 → υςBτEC → κθγSON → ΛΘxvmk → QL1Дλη → ГΞΔpg4 → ωXDςΨ8 → ρεoΕRG → αΒFπsW → αs8χΒW → οs8χΒI → οΦ8χZI → οΦkΙZI → ΦlNθΙa → ΙkMιΚm → ΛPLκηk → ΝΖPζoi → ΕUGοβq → ΨvDςyY → εo2ГΖS → БΑGοt6 → υΨ6ωXC → σιoΕNE → εΚFπkS → αΑOηtW → Ηs6ωΒo → σI8χξE → οεΤaRI → ΦΒhΜsa → kU8χβΛ → οvPζyI → ΦΕ2Гpa → БkEρΚ6 → υγOηTC → ιΗwwnO → ΙIЖЖνm → ξΘRδmJ → ΤΑKλtc → Οg6ωΞg → σYWΨΧE → εqmΗΔS → ΑKCσμu → ηΠ5АeQ → υΕaΤpC → ιiEρΜO → γΙSγlU → ywMιxw → Λ20ЕДk → ЕВPζ42 → ГψΔp84 → ωπDςG8 → ρεΨWRG → αΒpΔsW → sE8χςΓ → οδ9φSI → νΦyuZK → Ρl3ВΙe → ωcMιΣ8 → ρΛeΟjG → αaQεΥW → ΓsiΛΒs → SA8χφε → ομztKI → ΦΠ5Аea → υkaΤΚC → ιiOηΜO → ΙΗSγnm → yMIνκw → ΤΜ1Дic → ГgSγΞ4 → ωyWΨv8 → ρq2ГΔG → БαCσV6 → υηsΑPC → ιΖ7ψoO → ρΙGοlG → αΨMιXW → ΛsoΕΒk → QG8χπη → οΩΔpWI → ΦrDςΓa → εkAυΚS → λΑOηtM → ΝΗ6ωni → σUIνβE → εΤuybS → Αh3ВΝu → ωV5Аα8 → υρsΑFC → ιβ7ψUO → ρΙuylG → αN3ВιW → ωΚrΒk8 → ρP9φηG → ναΕoVK → ΡtFπΑe → αc6ωΣW → σseΟΒE → εa8χΥS → οΑiΛtI → ΦS6ωδa → σzjΚuE → εQ4БζS → χΔztqA → νD5АσK → υζΠdQC → ιΔbΣqO → ΙgCσΞm → ηXLκΨQ → ΝΕoΕpi → UGEρπγ → γΩvxWU → wr1ДΓy → ГB1Дυ4 → ГωιM74 → ωςΚjE8 → ρδPζSG → αΕyupW → sF3ВρΓ → ωβ9φU8 → ρνuyJG → αΣ3ВcW → ωseΟΒ8 → ρa8χΥG → οαiΛVI → ΦtRδΑa → Αk6ωΚu → σP5АηE → υεΕoRC → ιΒFπsO → αΙ8χlW → οsMιΒI → ΦΛ8χja → οkQεΚI → ΦΓOηra → ΗkAυΚo → λPHξηM → ΦΝΕoha → kVFπαΛ → αtPζΑW → Εs6ωΒq → σE8χςE → οεγSRI → ΦΒxvsa → k91ДχΛ → ГξPζI4 → ωΥΔpa8 → ρjDςΛG → εαQεVS → ΓΑsΑts ⮌ |
| 351,833,509× | 48 nodes | ⮎ cOAυθΤ → λΘfΞmM → ΝYKλΧi → ΟnTβΗg → wYIνΧy → Τn1ДΗc → ГgIνΞ4 → ωΤWΨb8 → ρqgΝΔG → αWCσΩW → ηsqΓΒQ → ΕC8χτq → οθDςOI → εΦΗmZS → ΑlJμΙu → ΡN5Аιe → υΚbΣkC → ιgOηΞO → ΙΗWΨnm → qMIνκΕ → ΤΜDςic → εgSγΞS → ΑyWΨvu → q62ГАΕ → БτDςC6 → υθδROC → ιΘztmO → ΙL5Аλm → υΞLκgC → ιΝWΨhO → ΙqUαΔm → uMCσκΑ → ηΜ5АiQ → υΕSγpC → ιyEρvO → γΙ2ГlU → БwMιx6 → υΛ0ЕjC → ЕιQεN2 → ГΚΒrk4 → ωP9φη8 → ρνΕoJG → αΣFπcW → αseΟΒW → sa8χΥΓ → οj9φΛI → νΦQεZK → ΡΓkΙre ⮌ | ||
| 214,527,007× | 14 nodes | ⮎ iXPζΨΝ → ΕpTβΕq → wFDςρy → εβ1ДUS → ГΑuyt4 → ω73Вω8 → ωςπFE8 → ρδΩVSG → αzrΒuW → sA4БφΓ → χμ9φKA → ξμΟeKJ → ΤΠZΥec → kgaΤΞΛ ⮌ | ||
| 445,802× | 4 nodes | ⮎ εm6ωΘS → σΑKλtE → εΟ6ωfS → σΑYΦtE ⮌ | ||
| 106,930× | (fixed) 1 node | ⮎ ΨoGοΖY ⮌ | ||
| 3,540× | (fixed) 1 node | ⮎ xwЖЖwx ⮌ | ||
| 7+ | - | - | - | Not showing digit sets 7+ due to verbosity. |