| 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 |
| 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 | 8,164× | (max) 52 nodes | ⮎ 0о → н1 → л3 → з7 → ЯF → ПV → ιΒ → UР → λz → YМ → γΘ → IЬ → Йb → ΦΞ → 6и → бD → УR → ρt → kА → Γθ → SТ → οv → gД → ΛΩ → Cв → ХP → υp → sς → mψ → yμ → aК → ΨΜ → Aд → ЩL → Гh → Ιβ → GЮ → НX → εΖ → MШ → Бj → Εζ → OЦ → χn → wξ → eЖ → ΟΥ → 4к → е9 → ЫJ → Зd → ΡΣ ⮌ |
| 4,082× | 26 nodes | ⮎ 2м → й5 → гB → ЧN → ωl → Ακ → WО → ηΔ → QФ → σr → oφ → uπ → iВ → Ηδ → KЪ → Еf → ΝΧ → 8ж → ЭH → ЛZ → αΚ → Eа → СT → νx → cИ → ΤΠ ⮌ | ||
| 157× | (fixed) 1 node | ⮎ qτ ⮌ | ||
| 3 | 1 cycle | 669,762× | (fixed) (max) 1 node | ⮎ ΡоΣ ⮌ |
| 4 | 19 cycles | 1,432,931× | (max) 39 nodes | ⮎ QHЬХ → Лτpa → αrςΛ → oDаχ → УvξS → ρfДu → ΝjАΨ → Ε9дη → ЫPФK → Зτpe → ΡrςΤ → o1мχ → лvξ4 → зfД8 → ЯΜΧG → П9дW → ЫθΒK → ЗTРe → νΠΣy → c1мЙ → лΥΞ4 → з5и8 → гЮFC → ЧОVO → ωθΒm → ΑTРλ → νXМy → εbИΗ → ΦLШΟ → Г5иi → гΘβC → ЧHЬO → Лψla → αzκΛ → YDаН → УδΖS → ρLШu → ГjАi → ΙΔζγ ⮌ |
| 1,431,482× | (max) 39 nodes | ⮎ snφσ → wnφο → wfДο → ΝfДΨ → Ν9дΨ → Ы9дK → ЫЖdK → ЗΠΣe → Ρ1мΤ → л1м4 → лж74 → зЮF8 → ЯОVG → ПθΒW → ιTРΓ → νTРy → νbИy → ΦbИΟ → Φ5иΟ → г5иC → гЦNC → ЧψlO → ωzκm → ΑXМλ → εXМΗ → εLШΗ → ГLШi → ГΘβi → ΙHЬγ → ЛHЬa → ЛΩΚa → αDаΛ → УDаS → УπtS → ρjАu → ΕjАη → ΕPФη → υPФq → υrςq ⮌ | ||
| 1,426,319× | (max) 39 nodes | ⮎ 61мй → лвB4 → зЦN8 → ЯψlG → ПzκW → ιXМΓ → εTРΗ → νLШy → ГbИi → ΦΘβΟ → I5иЭ → гКZC → ЧΩΚO → ωDаm → УzκS → ρXМu → εjАΗ → ΕLШη → ГPФi → υΘβq → sHЬσ → Лnφa → αvξΛ → gDаЕ → УΜΧS → ρ9дu → ЫjАK → ЗΔζe → ΡPФΤ → υ1мq → лrς4 → зnφ8 → ЯvξG → ПfДW → ιΜΧΓ → U9дС → ЫμxK → ЗbИe → ΦΠΣΟ ⮌ | ||
| 1,421,626× | (max) 39 nodes | ⮎ M9дЩ → ЫВhK → ЗΘβe → ΡHЬΤ → Л1мa → лΩΚ4 → зDа8 → ЯТRG → ПπtW → ιjАΓ → ΕTРη → νPФy → υbИq → ΦrςΟ → o5иχ → гvξC → ЧfДO → ωΜΧm → Α9дλ → ЫXМK → ЗδΖe → ΡLШΤ → Г1мi → лΘβ4 → зHЬ8 → ЯКZG → ПΩΚW → ιDаΓ → УTРS → ρμxu → kbИБ → ΦΔζΟ → Q5иХ → гτpC → ЧrςO → ωnφm → Αvξλ → gXМЕ → εΜΧΗ ⮌ | ||
| 1,419,204× | (max) 39 nodes | ⮎ E5иб → гТRC → ЧπtO → ωjАm → Εzκη → YPФН → υδΖq → sLШσ → Гnφi → Ιvξγ → gHЬЕ → ЛΜΧa → α9дΛ → ЫDаK → УЖdS → ρΠΣu → k1мБ → лΔζ4 → зPФ8 → ЯτpG → ПrςW → ιnφΓ → wTРο → νfДy → ΝbИΨ → Φ9дΟ → Ы5иK → гЖdC → ЧΠΣO → ω1мm → лzκ4 → зXМ8 → ЯδΖG → ПLШW → ГθΒi → ΙTРγ → νHЬy → ЛbИa → αΥΞΛ ⮌ | ||
| 1,419,160× | (max) 39 nodes | ⮎ M1мЩ → лВh4 → зΘβ8 → ЯHЬG → ПКZW → ιΩΚΓ → UDаС → УμxS → ρbИu → ΦjАΟ → Ε5иη → гPФC → ЧτpO → ωrςm → Αnφλ → wXМο → εfДΗ → ΝLШΨ → Г9дi → ЫΘβK → ЗHЬe → ЛΠΣa → α1мΛ → лDа4 → зТR8 → ЯπtG → ПjАW → ιΔζΓ → UPФС → υμxq → sbИσ → ΦnφΟ → w5иο → гfДC → ЧΜΧO → ω9дm → ЫzκK → ЗXМe → εΠΣΗ ⮌ | ||
| 1,418,322× | (max) 39 nodes | ⮎ M5иЩ → гВhC → ЧΘβO → ωHЬm → Лzκa → αXМΛ → εDаΗ → УLШS → Гπti → ΙjАγ → ΕHЬη → ЛPФa → υΩΚq → sDаσ → УnφS → ρvξu → kfДБ → ΝΔζΨ → Q9дХ → ЫτpK → Зrςe → ΡnφΤ → w1мο → лfД4 → зΜΧ8 → Я9дG → ЫОVK → ЗθΒe → ΡTРΤ → ν1мy → лbИ4 → зΥΞ8 → Я5иG → гОVC → ЧθΒO → ωTРm → νzκy → cXМЙ → εΥΞΗ ⮌ | ||
| 1,418,234× | (max) 39 nodes | ⮎ Q1мХ → лτp4 → зrς8 → ЯnφG → ПvξW → ιfДΓ → ΝTРΨ → ν9дy → ЫbИK → ЗΥΞe → Ρ5иΤ → г1мC → лЦN4 → зψl8 → ЯzκG → ПXМW → ιδΖΓ → ULШС → Гμxi → ΙbИγ → ΦHЬΟ → Л5иa → гΩΚC → ЧDаO → УψlS → ρzκu → kXМБ → εΔζΗ → QLШХ → Гτpi → Ιrςγ → oHЬχ → Лvξa → αfДΛ → ΝDаΨ → У9дS → ЫπtK → ЗjАe → ΡΔζΤ ⮌ | ||
| 1,418,198× | (max) 39 nodes | ⮎ A1ме → лЪJ4 → зЖd8 → ЯΠΣG → П1мW → лθΒ4 → зTР8 → ЯμxG → ПbИW → ιΥΞΓ → U5иС → гμxC → ЧbИO → ωΥΞm → Α5иλ → гXМC → ЧδΖO → ωLШm → Гzκi → ΙXМγ → εHЬΗ → ЛLШa → ГΩΚi → ΙDаγ → УHЬS → Лπta → αjАΛ → ΕDаη → УPФS → υπtq → sjАσ → Εnφη → wPФο → υfДq → ΝrςΨ → o9дχ → ЫvξK → ЗfДe → ΡΜΧΤ ⮌ | ||
| 1,418,114× | (max) 39 nodes | ⮎ MDаЩ → УВhS → ρΘβu → kHЬБ → ЛΔζa → αPФΛ → υDаq → УrςS → ρnφu → wjАο → ΕfДη → ΝPФΨ → υ9дq → ЫrςK → Зnφe → ΡvξΤ → g1мЕ → лΜΧ4 → з9д8 → ЯЪJG → ПЖdW → ιΠΣΓ → U1мС → лμx4 → зbИ8 → ЯΥΞG → П5иW → гθΒC → ЧTРO → ωμxm → ΑbИλ → ΦXМΟ → ε5иΗ → гLШC → ЧВhO → ωΘβm → ΑHЬλ → ЛXМa → εΩΚΗ ⮌ | ||
| 1,417,626× | (max) 39 nodes | ⮎ E1мб → лТR4 → зπt8 → ЯjАG → ПΔζW → ιPФΓ → υTРq → νrςy → obИχ → ΦvξΟ → g5иЕ → гΜΧC → Ч9дO → ЫψlK → Зzκe → ΡXМΤ → ε1мΗ → лLШ4 → зВh8 → ЯΘβG → ПHЬW → ЛθΒa → αTРΛ → νDаy → УbИS → ρΥΞu → k5иБ → гΔζC → ЧPФO → ωτpm → Αrςλ → oXМχ → εvξΗ → gLШЕ → ГΜΧi → Ι9дγ → ЫHЬK → ЛЖda → αΠΣΛ ⮌ | ||
| 1,417,378× | (max) 39 nodes | ⮎ E9дб → ЫТRK → Зπte → ΡjАΤ → Ε1мη → лPФ4 → зτp8 → ЯrςG → ПnφW → ιvξΓ → gTРЕ → νΜΧy → c9дЙ → ЫΥΞK → З5иe → гΠΣC → Ч1мO → лψl4 → зzκ8 → ЯXМG → ПδΖW → ιLШΓ → ГTРi → νΘβy → cHЬЙ → ЛΥΞa → α5иΛ → гDаC → ЧТRO → ωπtm → ΑjАλ → ΕXМη → εPФΗ → υLШq → Гrςi → Ιnφγ → wHЬο → ЛfДa → αΜΧΛ ⮌ | ||
| 1,417,244× | (max) 39 nodes | ⮎ YTРН → νδΖy → cLШЙ → ГΥΞi → Ι5иγ → гHЬC → ЧКZO → ωΩΚm → ΑDаλ → УXМS → ρδΖu → kLШБ → ГΔζi → ΙPФγ → υHЬq → Лrςa → αnφΛ → wDаο → УfДS → ρΜΧu → k9дБ → ЫΔζK → ЗPФe → υΠΣq → s1мσ → лnφ4 → зvξ8 → ЯfДG → ПΜΧW → ι9дΓ → ЫTРK → Зμxe → ΡbИΤ → Φ1мΟ → л5и4 → звB8 → ЯЦNG → ПψlW → ιzκΓ ⮌ | ||
| 1,416,964× | (max) 39 nodes | ⮎ I1мЭ → лКZ4 → зΩΚ8 → ЯDаG → УОVS → ρθΒu → kTРБ → νΔζy → cPФЙ → υΥΞq → s5иσ → гnφC → ЧvξO → ωfДm → ΝzκΨ → Y9дН → ЫδΖK → ЗLШe → ГΠΣi → Ι1мγ → лHЬ4 → зКZ8 → ЯΩΚG → ПDаW → УθΒS → ρTРu → νjАy → ΕbИη → ΦPФΟ → υ5иq → гrςC → ЧnφO → ωvξm → ΑfДλ → ΝXМΨ → ε9дΗ → ЫLШK → ЗВhe → ΡΘβΤ ⮌ | ||
| 1,415,572× | (max) 39 nodes | ⮎ YLШН → ГδΖi → ΙLШγ → ГHЬi → ЛΘβa → αHЬΛ → ЛDаa → УΩΚS → ρDаu → УjАS → ρΔζu → kPФБ → υΔζq → sPФσ → υnφq → wrςο → ofДχ → ΝvξΨ → g9дЕ → ЫΜΧK → З9дe → ЫΠΣK → З1мe → лΠΣ4 → з1м8 → лЮF4 → зОV8 → ЯθΒG → ПTРW → νθΒy → cTРЙ → νΥΞy → c5иЙ → гΥΞC → Ч5иO → гψlC → ЧzκO → ωXМm → εzκΗ ⮌ | ||
| 1,414,724× | (max) 39 nodes | ⮎ QDаХ → УτpS → ρrςu → ojАχ → Εvξη → gPФЕ → υΜΧq → s9дσ → ЫnφK → Зvξe → ΡfДΤ → Ν1мΨ → л9д4 → зЪJ8 → ЯЖdG → ПΠΣW → ι1мΓ → лTР4 → зμx8 → ЯbИG → ПΥΞW → ι5иΓ → гTРC → ЧμxO → ωbИm → ΦzκΟ → Y5иН → гδΖC → ЧLШO → Гψli → Ιzκγ → YHЬН → ЛδΖa → αLШΛ → ГDаi → УΘβS → ρHЬu → ЛjАa → αΔζΛ ⮌ | ||
| 1,414,064× | (max) 39 nodes | ⮎ IDаЭ → УКZS → ρΩΚu → kDаБ → УΔζS → ρPФu → υjАq → Εrςη → oPФχ → υvξq → sfДσ → ΝnφΨ → w9дο → ЫfДK → ЗΜΧe → Ρ9дΤ → Ы1мK → лЖd4 → зΠΣ8 → Я1мG → лОV4 → зθΒ8 → ЯTРG → ПμxW → ιbИΓ → ΦTРΟ → ν5иy → гbИC → ЧΥΞO → ω5иm → гzκC → ЧXМO → ωδΖm → ΑLШλ → ГXМi → εΘβΗ → MHЬЩ → ЛВha → αΘβΛ ⮌ | ||
| 1,413,676× | (max) 39 nodes | ⮎ A5ие → гЪJC → ЧЖdO → ωΠΣm → Α1мλ → лXМ4 → зδΖ8 → ЯLШG → ПВhW → ιΘβΓ → UHЬС → Лμxa → αbИΛ → ΦDаΟ → У5иS → гπtC → ЧjАO → ωΔζm → ΑPФλ → υXМq → εrςΗ → oLШχ → Гvξi → ΙfДγ → ΝHЬΨ → Л9дa → ЫΩΚK → ЗDаe → УΠΣS → ρ1мu → лjА4 → зΔζ8 → ЯPФG → ПτpW → ιrςΓ → oTРχ → νvξy → gbИЕ → ΦΜΧΟ ⮌ | ||
| 1,413,284× | (max) 39 nodes | ⮎ I9дЭ → ЫКZK → ЗΩΚe → ΡDаΤ → У1мS → лπt4 → зjА8 → ЯΔζG → ПPФW → υθΒq → sTРσ → νnφy → wbИο → ΦfДΟ → Ν5иΨ → г9дC → ЫЦNK → Зψle → ΡzκΤ → Y1мН → лδΖ4 → зLШ8 → ЯВhG → ПΘβW → ιHЬΓ → ЛTРa → νΩΚy → cDаЙ → УΥΞS → ρ5иu → гjАC → ЧΔζO → ωPФm → υzκq → sXМσ → εnφΗ → wLШο → ГfДi → ΝΘβΨ ⮌ | ||
| 5 | 2 cycles | 873,617,394× | (max) 4 nodes | ⮎ τpоτr → υpоτq → υrоςq → τqоσr ⮌ |
| 25,120× | 2 nodes | ⮎ ΣΠоΣΣ → ΣоооΡ ⮌ | ||
| 6+ | - | - | - | Not showing digit sets 6+ due to verbosity. |