| 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 |
| С | Т | У | Ф | Х | Ц | Ч | Ш | Щ | Ъ | Ы | Ь | Э | Ю | Я | а |
| б | в | г | д | е | ж | з | и | й | к | л | м | н | о | п | р |
| с | т | у | ф | х | ц | ч | ш | щ | ъ | ы | ь | э | ю | я | ァ |
| 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 | 1 cycle | 13,041× | (max) 81 nodes | ⮎ 0т → с1 → п3 → л7 → гF → УV → νΒ → YР → ηΘ → MЬ → Еj → Ιζ → KЮ → Йf → ΡΧ → 4о → й9 → ЯJ → Лd → ΦΣ → 2р → н5 → зB → ЫN → Гl → Εκ → SЦ → σv → kД → Ηθ → OЪ → Бn → Αξ → aО → γΜ → Eд → ХT → ρx → gИ → ΟΩ → 8к → бH → ПZ → εΚ → Iа → Нb → αΞ → Aи → ЭL → Зh → Νβ → Cж → ЩP → ωp → wς → iЖ → Λδ → Gв → СX → ιΖ → QШ → χr → sφ → qψ → uτ → mВ → Γμ → WТ → λΔ → UФ → οz → cМ → ΨΠ → 6м → еD → ЧR → υt → oА → yπ → eК → ΤΥ ⮌ |
| 3 | 1 cycle | 721,602× | (fixed) (max) 1 node | ⮎ ΤтΥ ⮌ |
| 4 | 36 cycles | 1,067,261× | (max) 27 nodes | ⮎ 61рн → пжB4 → лЪN8 → гВlG → УΔκW → νTФΓ → ρXРy → ιfИΗ → ΡPШΨ → ω5мq → зvςC → ЫjДO → ГΘζm → ΕLЬλ → ЗTФi → ρΜβy → gDдЙ → ЧΠΧS → υ5мu → зnАC → ЫzξO → ГbМm → αΔκΟ → U9иХ → ЯπxK → ЛfИe → ΦΠΧΤ ⮌ |
| 1,064,525× | (max) 27 nodes | ⮎ UDдХ → ЧπxS → υfИu → ΡnАΨ → Α5мο → зbМC → ЫΩΞO → Г9иm → ЯΔκK → ЛTФe → ρΥΣy → g1рЙ → пΠΧ4 → л5м8 → звFC → ЫТVO → ГμΒm → ΕXРλ → ιTФΗ → ρPШy → ωfИq → ΡvςΨ → k5мЕ → зΘζC → ЫLЬO → ЗВli → ΝΔκγ ⮌ | ||
| 1,063,572× | (max) 27 nodes | ⮎ A5мй → зЮJC → ЫКdO → ГΥΣm → Ε1рλ → пTФ4 → лπx8 → гfИG → УΠΧW → ν5мΓ → зXРC → ЫθΖO → ГPШm → ωΔκq → wTФσ → ρjДy → ΙfИη → ΡLЬΨ → З5мi → зΜβC → ЫDдO → ЧВlS → υΔκu → oTФБ → ρzξy → gbМЙ → αΠΧΟ ⮌ | ||
| 1,062,380× | (max) 27 nodes | ⮎ Y5мС → зθΖC → ЫPШO → Гψpm → Εvςλ → kTФЕ → ρΘζy → gLЬЙ → ЗΠΧi → Ν5мγ → зDдC → ЫЦRO → Гτtm → ΕnАλ → ΑTФο → ρbМy → αfИΟ → Ρ9иΨ → Я5мK → зКdC → ЫΥΣO → Г1рm → пΔκ4 → лTФ8 → гπxG → УfИW → νΠΧΓ ⮌ | ||
| 1,061,284× | (max) 27 nodes | ⮎ YTФС → ρθΖy → gPШЙ → ωΠΧq → w5мσ → зjДC → ЫΘζO → ГLЬm → ЗΔκi → ΝTФγ → ρDдy → ЧfИS → υΠΧu → o5мБ → зzξC → ЫbМO → ГΩΞm → Ε9иλ → ЯTФK → Лπxe → ΦfИΤ → Ρ1рΨ → п5м4 → лжB8 → гЪNG → УВlW → νΔκΓ ⮌ | ||
| 1,056,470× | (max) 27 nodes | ⮎ I9иб → ЯОZK → ЛδΚe → ΦHаΤ → П1рa → пδΚ4 → лHа8 → гОZG → УδΚW → νHаΓ → ПXРa → ιδΚΗ → QHаЩ → Пψpa → εvςΛ → kHаЕ → ПΘζa → εLЬΛ → ЗHаi → ПΜβa → εDдΛ → ЧHаS → Пτta → εnАΛ → ΑHаο → ПbМa → εΩΞΛ ⮌ | ||
| 1,056,294× | (max) 27 nodes | ⮎ E5ме → зЦRC → ЫτtO → ГnАm → Εzξλ → cTФН → ρΩΞy → g9иЙ → ЯΠΧK → Л5мe → зΥΣC → Ы1рO → пВl4 → лΔκ8 → гTФG → УπxW → νfИΓ → ΡXРΨ → ι5мΗ → зPШC → ЫψpO → Гvςm → ΕjДλ → ΙTФη → ρLЬy → ЗfИi → ΡΜβΨ ⮌ | ||
| 1,055,608× | (max) 27 nodes | ⮎ s1рχ → пrφ4 → лrφ8 → гrφG → УrφW → νrφΓ → sXРχ → ιrφΗ → sPШχ → ωrφq → wrφσ → sjДχ → Ιrφη → sLЬχ → Зrφi → Νrφγ → sDдχ → ЧrφS → υrφu → snАχ → Αrφο → sbМχ → αrφΟ → s9иχ → ЯrφK → Лrφe → ΦrφΤ ⮌ | ||
| 1,054,366× | (max) 27 nodes | ⮎ I1рб → пОZ4 → лδΚ8 → гHаG → УОZW → νδΚΓ → YHаС → ПθΖa → εPШΛ → ωHаq → Пvςa → εjДΛ → ΙHаη → ПLЬa → ЗδΚi → ΝHаγ → ПDдa → ЧδΚS → υHаu → ПnАa → εzξΛ → cHаН → ПΩΞa → ε9иΛ → ЯHаK → ПКda → εΥΣΛ ⮌ | ||
| 1,052,698× | (max) 27 nodes | ⮎ UPШХ → ωπxq → wfИσ → ΡjДΨ → Ι5мη → зLЬC → ЫЖhO → ГΜβm → ΕDдλ → ЧTФS → υπxu → ofИБ → ΡzξΨ → c5мН → зΩΞC → Ы9иO → ЯВlK → ЛΔκe → ΦTФΤ → ρ1рy → пfИ4 → лΠΧ8 → г5мG → зТVC → ЫμΒO → ГXРm → ιΔκΗ ⮌ | ||
| 1,051,124× | (max) 27 nodes | ⮎ IDдб → ЧОZS → υδΚu → oHаБ → Пzξa → εbМΛ → αHаΟ → П9иa → ЯδΚK → ЛHаe → ПΥΣa → ε1рΛ → пHа4 → лОZ8 → гδΚG → УHаW → ПμΒa → εXРΛ → ιHаΗ → ПPШa → ωδΚq → wHаσ → ПjДa → εΘζΛ → MHаЭ → ПЖha → εΜβΛ ⮌ | ||
| 1,046,757× | (max) 27 nodes | ⮎ wnАσ → ΑjДο → ΙbМη → αLЬΟ → З9иi → ЯΜβK → ЛDдe → ЧΥΣS → υ1рu → пnА4 → лzξ8 → гbМG → УΩΞW → ν9иΓ → ЯXРK → ЛθΖe → ΦPШΤ → ω1рq → пvς4 → лjД8 → гΘζG → УLЬW → ЗμΒi → ΝXРγ → ιDдΗ → ЧPШS → ωτtq ⮌ | ||
| 1,046,508× | (max) 27 nodes | ⮎ Q5мЩ → зψpC → ЫvςO → ГjДm → ΙΔκη → ULЬХ → Зπxi → ΝfИγ → ΡDдΨ → Ч5мS → зτtC → ЫnАO → Гzξm → ΕbМλ → αTФΟ → ρ9иy → ЯfИK → ЛΠΧe → Φ5мΤ → з1рC → пЪN4 → лВl8 → гΔκG → УTФW → ρμΒy → gXРЙ → ιΠΧΗ ⮌ | ||
| 1,044,344× | (max) 27 nodes | ⮎ M5мЭ → зЖhC → ЫΜβO → ГDдm → ЧΔκS → υTФu → ρnАy → ΑfИο → ΡbМΨ → α5мΟ → з9иC → ЯЪNK → ЛВle → ΦΔκΤ → U1рХ → пπx4 → лfИ8 → гΠΧG → У5мW → зμΒC → ЫXРO → ГθΖm → ΕPШλ → ωTФq → ρvςy → kfИЕ → ΡΘζΨ ⮌ | ||
| 1,025,099× | (max) 27 nodes | ⮎ wjДσ → ΙjДη → ΙLЬη → ЗLЬi → ЗΜβi → ΝDдγ → ЧDдS → ЧτtS → υnАu → ΑnАο → ΑbМο → αbМΟ → α9иΟ → Я9иK → ЯКdK → ЛΥΣe → Φ1рΤ → п1р4 → пк74 → лвF8 → гТVG → УμΒW → νXРΓ → ιXРΗ → ιPШΗ → ωPШq → ωvςq ⮌ | ||
| 1,021,503× | (max) 27 nodes | ⮎ MDдЭ → ЧЖhS → υΜβu → oDдБ → ЧzξS → υbМu → αnАΟ → Α9иο → ЯbМK → ЛΩΞe → Φ9иΤ → Я1рK → пКd4 → лΥΣ8 → г1рG → пТV4 → лμΒ8 → гXРG → УθΖW → νPШΓ → ωXРq → ιvςΗ → kPШЕ → ωΘζq → wLЬσ → ЗjДi → ΝΘζγ ⮌ | ||
| 1,018,119× | (max) 27 nodes | ⮎ Y1рС → пθΖ4 → лPШ8 → гψpG → УvςW → νjДΓ → ΙXРη → ιLЬΗ → ЗPШi → ωΜβq → wDдσ → ЧjДS → υΘζu → oLЬБ → Зzξi → ΝbМγ → αDдΟ → Ч9иS → ЯτtK → ЛnАe → ΦzξΤ → c1рН → пΩΞ4 → л9и8 → гЮJG → УКdW → νΥΣΓ ⮌ | ||
| 1,017,399× | (max) 27 nodes | ⮎ Q1рЩ → пψp4 → лvς8 → гjДG → УΘζW → νLЬΓ → ЗXРi → ιΜβΗ → QDдЩ → ЧψpS → υvςu → ojДБ → Ιzξη → cLЬН → ЗΩΞi → Ν9иγ → ЯDдK → ЧКdS → υΥΣu → o1рБ → пzξ4 → лbМ8 → гΩΞG → У9иW → ЯμΒK → ЛXРe → ιΥΣΗ ⮌ | ||
| 1,017,195× | (max) 27 nodes | ⮎ YPШС → ωθΖq → wPШσ → ωjДq → Ιvςη → kLЬЕ → ЗΘζi → ΝLЬγ → ЗDдi → ЧΜβS → υDдu → ЧnАS → υzξu → obМБ → αzξΟ → c9иН → ЯΩΞK → Л9иe → ЯΥΣK → Л1рe → пΥΣ4 → л1р8 → пвF4 → лТV8 → гμΒG → УXРW → νθΖΓ ⮌ | ||
| 1,016,475× | (max) 27 nodes | ⮎ QLЬЩ → Зψpi → Νvςγ → kDдЕ → ЧΘζS → υLЬu → ЗnАi → Νzξγ → cDдН → ЧΩΞS → υ9иu → ЯnАK → Лzξe → ΦbМΤ → α1рΟ → п9и4 → лЮJ8 → гКdG → УΥΣW → ν1рΓ → пXР4 → лθΖ8 → гPШG → УψpW → νvςΓ → kXРЕ → ιΘζΗ ⮌ | ||
| 1,016,067× | (max) 27 nodes | ⮎ E1ре → пЦR4 → лτt8 → гnАG → УzξW → νbМΓ → αXРΟ → ι9иΗ → ЯPШK → Лψpe → ΦvςΤ → k1рЕ → пΘζ4 → лLЬ8 → гЖhG → УΜβW → νDдΓ → ЧXРS → υθΖu → oPШБ → ωzξq → wbМσ → αjДΟ → Ι9иη → ЯLЬK → ЛЖhe → ΦΜβΤ ⮌ | ||
| 1,009,407× | (max) 27 nodes | ⮎ Q9иЩ → ЯψpK → Лvςe → ΦjДΤ → Ι1рη → пLЬ4 → лЖh8 → гΜβG → УDдW → ЧμΒS → υXРu → ιnАΗ → ΑPШο → ωbМq → αvςΟ → k9иЕ → ЯΘζK → ЛLЬe → ЗΥΣi → Ν1рγ → пDд4 → лЦR8 → гτtG → УnАW → νzξΓ → cXРН → ιΩΞΗ ⮌ | ||
| 1,007,943× | (max) 27 nodes | ⮎ A1рй → пЮJ4 → лКd8 → гΥΣG → У1рW → пμΒ4 → лXР8 → гθΖG → УPШW → ωμΒq → wXРσ → ιjДΗ → ΙPШη → ωLЬq → Зvςi → ΝjДγ → ΙDдη → ЧLЬS → Зτti → ΝnАγ → ΑDдο → ЧbМS → υΩΞu → o9иБ → ЯzξK → ЛbМe → αΥΣΟ ⮌ | ||
| 1,007,607× | (max) 27 nodes | ⮎ M1рЭ → пЖh4 → лΜβ8 → гDдG → ЧТVS → υμΒu → oXРБ → ιzξΗ → cPШН → ωΩΞq → w9иσ → ЯjДK → ЛΘζe → ΦLЬΤ → З1рi → пΜβ4 → лDд8 → гЦRG → УτtW → νnАΓ → ΑXРο → ιbМΗ → αPШΟ → ω9иq → ЯvςK → ЛjДe → ΦΘζΤ ⮌ | ||
| 1,007,085× | (max) 27 nodes | ⮎ M9иЭ → ЯЖhK → ЛΜβe → ΦDдΤ → Ч1рS → пτt4 → лnА8 → гzξG → УbМW → νΩΞΓ → Y9иС → ЯθΖK → ЛPШe → ωΥΣq → w1рσ → пjД4 → лΘζ8 → гLЬG → УЖhW → νΜβΓ → YDдС → ЧθΖS → υPШu → ωnАq → Αvςο → kbМЕ → αΘζΟ ⮌ | ||
| 1,003,317× | (max) 27 nodes | ⮎ E9ие → ЯЦRK → Лτte → ΦnАΤ → Α1рο → пbМ4 → лΩΞ8 → г9иG → ЯТVK → ЛμΒe → ΦXРΤ → ι1рΗ → пPШ4 → лψp8 → гvςG → УjДW → νΘζΓ → YLЬС → ЗθΖi → ΝPШγ → ωDдq → ЧvςS → υjДu → ΙnАη → ΑLЬο → ЗbМi → αΜβΟ ⮌ | ||
| 335,910× | 9 nodes | ⮎ ΕfИλ → ΡTФΨ → ρ5мy → зfИC → ЫΠΧO → Г5мm → зΔκC → ЫTФO → Гπxm ⮌ | ||
| 324,318× | 9 nodes | ⮎ ΕTФλ → ρTФy → ρfИy → ΡfИΨ → Ρ5мΨ → з5мC → зЪNC → ЫВlO → ГΔκm ⮌ | ||
| 324,318× | 9 nodes | ⮎ g5мЙ → зΠΧC → Ы5мO → зВlC → ЫΔκO → ГTФm → ρΔκy → gTФЙ → ρΠΧy ⮌ | ||
| 324,318× | 9 nodes | ⮎ U5мХ → зπxC → ЫfИO → ГΠΧm → Ε5мλ → зTФC → ЫπxO → ГfИm → ΡΔκΨ ⮌ | ||
| 323,190× | 9 nodes | ⮎ s5мχ → зrφC → ЫrφO → Гrφm → Εrφλ → sTФχ → ρrφy → sfИχ → ΡrφΨ ⮌ | ||
| 323,046× | 9 nodes | ⮎ I5мб → зОZC → ЫδΚO → ГHаm → ПΔκa → εTФΛ → ρHаy → ПfИa → εΠΧΛ ⮌ | ||
| 323,046× | 9 nodes | ⮎ UHаХ → Пπxa → εfИΛ → ΡHаΨ → П5мa → зδΚC → ЫHаO → ПВla → εΔκΛ ⮌ | ||
| 323,046× | 9 nodes | ⮎ gHаЙ → ПΠΧa → ε5мΛ → зHаC → ЫОZO → ГδΚm → ΕHаλ → ПTФa → ρδΚy ⮌ | ||
| 112,410× | 3 nodes | ⮎ εHаΛ → ПHаa → ПδΚa ⮌ | ||
| 108,594× | 3 nodes | ⮎ sHаχ → Пrφa → εrφΛ ⮌ | ||
| 5 | 2 cycles | 988,429,232× | (fixed) 1 node | ⮎ χrтφs ⮌ |
| 26,404× | (max) 2 nodes | ⮎ ΥΣтΥΥ → ΥтттΤ ⮌ | ||
| 6+ | - | - | - | Not showing digit sets 6+ due to verbosity. |