| 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 | 1 cycle | 5,565× | (max) 53 nodes | ⮎ 0τ → σ1 → ρ3 → ν7 → εF → ΝV → gΒ → KΩ → Γf → MΧ → yj → Eζ → ΟT → kx → Cθ → ΤP → sp → 2ς → ο5 → ιB → ΦN → wl → Aκ → ΨL → Αh → Iβ → Ηb → UΞ → iz → Gδ → ΛX → cΖ → SΠ → mv → 8μ → γH → ΙZ → YΚ → aΘ → WΜ → eΔ → OΥ → un → 6ξ → ηD → ΡR → ot → 4π → λ9 → αJ → Εd → QΣ → qr ⮌ |
| 3 | 1 cycle | 204,050× | (fixed) (max) 1 node | ⮎ qτr ⮌ |
| 4 | 13 cycles | 448,177× | (max) 26 nodes | ⮎ M5ξΨ → ιzhC → ΦHβO → Ιvla → Y9κΛ → αbΖK → ΕTΞe → kPΣy → sDζq → Ρ1ςS → ρnt4 → ν5ξ8 → ιδFC → ΦΜVO → wfΒm → M9κΨ → αzhK → ΕHβe → ΙPΣa → sXΚq → c1ςΗ → ρTΞ4 → νjx8 → εDζG → ΡΜVS → ofΒu ⮌ |
| 448,022× | (max) 26 nodes | ⮎ IDζγ → ΡΘZS → oXΚu → c5ξΗ → ιTΞC → ΦjxO → wDζm → Ρ9κS → αntK → Ε5ξe → ιPΣC → ΦrpO → w1ςm → ρ9κ4 → νΩJ8 → εΔdG → ΝPΣW → sfΒq → M1ςΨ → ρzh4 → νHβ8 → εΘZG → ΝXΚW → gbΖΓ → ULΧΟ → Αjxi ⮌ | ||
| 448,018× | (max) 26 nodes | ⮎ A1ςλ → ρΩJ4 → νΔd8 → εPΣG → ΝrpW → g1ςΓ → ρLΧ4 → νzh8 → εHβG → ΝΘZW → gXΚΓ → cLΧΗ → ΑTΞi → kHβy → ΙDζa → ΡXΚS → obΖu → U5ξΟ → ιjxC → ΦDζO → ΡvlS → o9κu → α5ξK → ιΔdC → ΦPΣO → wrpm ⮌ | ||
| 447,386× | (max) 26 nodes | ⮎ cTΞΗ → kTΞy → kDζy → ΡDζS → ΡntS → o5ξu → ι5ξC → ιΥNC → ΦvlO → w9κm → α9κK → αΔdK → ΕPΣe → sPΣq → s1ςq → ρ1ς4 → ρμ74 → νδF8 → εΜVG → ΝfΒW → gLΧΓ → ΑLΧi → ΑHβi → ΙHβa → ΙXΚa → cXΚΗ ⮌ | ||
| 446,990× | (max) 26 nodes | ⮎ A5ξλ → ιΩJC → ΦΔdO → wPΣm → s9κq → α1ςK → ρΔd4 → νPΣ8 → εrpG → Ν1ςW → ρfΒ4 → νLΧ8 → εzhG → ΝHβW → ΙfΒa → YLΧΛ → ΑbΖi → UHβΟ → Ιjxa → YDζΛ → ΡbΖS → oTΞu → k5ξy → ιDζC → ΦΠRO → wntm ⮌ | ||
| 446,758× | (max) 26 nodes | ⮎ QDζΤ → ΡrpS → o1ςu → ρ5ξ4 → νθB8 → εΥNG → ΝvlW → g9κΓ → αLΧK → Εzhe → QHβΤ → Ιrpa → Y1ςΛ → ρbΖ4 → νTΞ8 → εjxG → ΝDζW → ΡfΒS → oLΧu → Α5ξi → ιHβC → ΦΘZO → wXΚm → c9κΗ → αTΞK → Εjxe ⮌ | ||
| 445,071× | (max) 26 nodes | ⮎ 61ςο → ρθB4 → νΥN8 → εvlG → Ν9κW → αfΒK → ΕLΧe → ΑPΣi → sHβq → Ι1ςa → ρXΚ4 → νbΖ8 → εTΞG → ΝjxW → gDζΓ → ΡLΧS → Αnti → I5ξγ → ιΘZC → ΦXΚO → wbΖm → U9κΟ → αjxK → ΕDζe → ΡPΣS → sntq ⮌ | ||
| 444,312× | (max) 26 nodes | ⮎ E5ξη → ιΠRC → ΦntO → w5ξm → ι9κC → αΥNK → Εvle → Q9κΤ → αrpK → Ε1ςe → ρPΣ4 → νrp8 → ε1ςG → ρΜV4 → νfΒ8 → εLΧG → ΝzhW → gHβΓ → ΙLΧa → ΑXΚi → cHβΗ → ΙTΞa → kXΚy → cDζΗ → ΡTΞS → ojxu ⮌ | ||
| 443,930× | (max) 26 nodes | ⮎ I1ςγ → ρΘZ4 → νXΚ8 → εbΖG → ΝTΞW → kfΒy → MDζΨ → ΡzhS → oHβu → Ι5ξa → ιXΚC → ΦbΖO → wTΞm → k9κy → αDζK → ΡΔdS → oPΣu → s5ξq → ι1ςC → ρΥN4 → νvl8 → ε9κG → αΜVK → ΕfΒe → QLΧΤ → Αrpi ⮌ | ||
| 443,100× | (max) 26 nodes | ⮎ MHβΨ → Ιzha → YHβΛ → ΙbΖa → YTΞΛ → kbΖy → UDζΟ → ΡjxS → oDζu → Ρ5ξS → ιntC → Φ5ξO → ιvlC → Φ9κO → αvlK → Ε9κe → αPΣK → Εrpe → Q1ςΤ → ρrp4 → ν1ς8 → ρδF4 → νΜV8 → εfΒG → ΝLΧW → ΑfΒi ⮌ | ||
| 441,610× | (max) 26 nodes | ⮎ E9κη → αΠRK → Εnte → Q5ξΤ → ιrpC → Φ1ςO → ρvl4 → ν9κ8 → εΩJG → ΝΔdW → gPΣΓ → sLΧq → Α1ςi → ρHβ4 → νΘZ8 → εXΚG → ΝbΖW → gTΞΓ → kLΧy → ΑDζi → ΡHβS → Ιnta → Y5ξΛ → ιbΖC → ΦTΞO → wjxm ⮌ | ||
| 439,568× | (max) 26 nodes | ⮎ E1ςη → ρΠR4 → νnt8 → ε5ξG → ιΜVC → ΦfΒO → wLΧm → Α9κi → αHβK → ΙΔda → YPΣΛ → sbΖq → U1ςΟ → ρjx4 → νDζ8 → εΠRG → ΝntW → g5ξΓ → ιLΧC → ΦzhO → wHβm → Ι9κa → αXΚK → ΕbΖe → UPΣΟ → sjxq ⮌ | ||
| 220,203× | 13 nodes | ⮎ I9κγ → αΘZK → ΕXΚe → cPΣΗ → sTΞq → k1ςy → ρDζ4 → νΠR8 → εntG → Ν5ξW → ιfΒC → ΦLΧO → Αvli ⮌ | ||
| 5 | 3 cycles | 81,409,834× | 3 nodes | ⮎ ΙXτΚa → ΛYτΙY → ΚbτΖZ ⮌ |
| 40,970,242× | (max) 4 nodes | ⮎ ΙYτΙa → ΚXτΚZ → ΛZτΘY → ΚaτΗZ ⮌ | ||
| 11,340× | 2 nodes | ⮎ rpτrr → rτττq ⮌ | ||
| 6 | 6 cycles | 1,090,972,496× | (max) 253 nodes | ⮎ GA6νκε → ηΩΜVKE → ΡΔfΒeS → oPLΧΤu → Αt5ξoi → ιI4οβC → λΦΗaNA → αxVΜkK → ΕgCηΒe → ΤQKΨΣQ → Γsqqpg → M2ττρΨ → ςΧHβM3 → οΙyiZ6 → ιZFδΙC → ΦΝYΙVO → whZΘΑm → YJ9καΛ → αΖbΖcK → ΕUSΟΞe → mjPΣyw → sF9κεq → αΞ1ςUK → ρΕiyd4 → νRFδΡ8 → εΝosVG → Νh3πΑW → νgIαΒ8 → εΗKΨbG → ΝΓUΝfW → igMΦΒΑ → yLHβΨk → ΙΒDζga → ΡYKΨΚS → ΓoaΗtg → WM4οΧΝ → λzfΒiA → αMGγΧK → ΛΕyidY → cRFδΡΗ → ΝpTΞsW → kg2ρΒy → οLDζΨ6 → ιΡΑgRC → ΦpJΩsO → Εw2ρle → οQAιΣ6 → ιΨqqLC → ΦΑττgO → ΥΒJΩgP → ΕuKΨne → ΓQ6νΣg → ηrLΧqE → ΡΑ0σhS → σoIαt2 → ρΗ4οb4 → νλUΝ98 → εβhzIG → ΝΘHβaW → ΙgWΛΒa → eYKΨΚΕ → ΓbPΣΗg → sVLΧΝq → Αh1ςΑi → ρJHβα4 → νΙΕcZ8 → εZRΠΙG → ΝoYΙtW → ga4οΘΓ → λXLΧΛA → αΑcΕhK → ΕSIαΠe → ΗnPΣuc → sU6νΞq → ηj1ςyE → ρΡEεR4 → νΟosT8 → εl3πwG → νΝAιV8 → εΨgΑLG → ΝΒJΩgW → ΕgKΨΒe → ΓQKΨΣg → ΓrLΧqg → ΑM0σΧi → σzHβi2 → ρΙGγZ4 → νΛYΙX8 → εdZΘΕG → ΝYQΡΚW → qgaΗΒs → WL1ςΨΝ → ρΒfΒg4 → νMKΨΧ8 → εΓyifG → ΝNFδΦW → ΝxfΒkW → gMCηΧΓ → ΤzLΧiQ → ΑsGγpi → ΛI2ρβY → οΘbΖa6 → ιXTΞΛC → ΦkcΕxO → wSCηΠm → Τn9κuQ → αs6νpK → ηΕ2ρdE → οΡQΡR6 → ιqosrC → Φ40σπO → σμvl82 → ρδ9κG4 → ναΛWJ8 → εΖdΔcG → ΝTPΣΟW → slfΒwq → MB1ςιΨ → ρΧzhM4 → νzHβi8 → εΙGγZG → ΝΛYΙXW → gdZΘΕΓ → YRLΧΡΛ → ΑpbΖsi → UI2ρβΟ → οΘjxa6 → ιXDζΛC → ΦΡcΕRO → wpRΠsm → oA2ρκu → οΩ5ξK6 → κθΓeCB → ΨΥNΥOM → Αwumli → IB7μιγ → εΧΘZMG → ΝzXΚiW → gcGγΖΓ → ΛTLΧΟY → ΑlbΖwi → UIAιβΟ → ΨΘjxaM → ΑXDζΛi → ΡdHβΕS → ΙoQΡta → qY4οΚs → λb1ςΗA → ραUΝJ4 → νΖhzc8 → εTHβΟG → ΝΙkwZW → gZBθΙΓ → ΦZLΧΙO → ΑwYΙli → aIAιβΙ → ΨΘXΚaM → ΑcWΛΖi → eTHβΟΕ → ΙlPΣwa → sYAιΚq → Ψb1ςΗM → ρΑUΝh4 → νiIαz8 → εΗGγbG → ΝΛUΝXW → igcΕΒΑ → SLHβΨΡ → ΙΒntga → YL5ξΨΛ → ιΒbΖgC → ΦUKΨΞO → Γwiylg → MGAιδΨ → ΨΜzhWM → ΑfHβΓi → ΙNHβΦa → ΙxXΚka → cYCηΚΗ → ΤbTΞΗQ → skUΝxq → iD1ςηΑ → ρΣHβQ4 → νΙqqZ8 → εYττΙG → δΚJΩYH → ΛΕaΗdY → cWQΡΜΗ → qfTΞΓs → kN1ςΦy → ρxDζk4 → νΡCηR8 → εΤosPG → Νt3πoW → νg4οΒ8 → λεKΨFA → αΞΒfUK → ΕjLΧye → ΑQEεΣi → ΟrHβqU → Ιk0σxa → σYCηΚ2 → ρΤaΗP4 → νtVΜo8 → εg4οΒG → λΝKΨVA → αΓgΑfK → ΕNJΩΦe → ΕxPΣke → sQCηΣq → Τr1ςqQ → ρs0σp4 → σν2ρ72 → ροεE54 → νκΞTA8 → εΩjxKG → ΝΔDζeW → ΡgOΤΒS → uoKΨto → Γ64οξg → λθLΧCA → αΥzhOK → ΕvHβme → ΙQ8λΣa → γrXΚqI → Ιc0σΖa → σYSΟΚ2 → ρmaΗv4 → νW8λΜ8 → εγeΓHG → ΝΚNΥYW → wgaΗΒm → WL9κΨΝ → αΒfΒgK → ΕMKΨΧe → ΓzPΣig → sMGγΧq → Λz1ςiY → ρcGγΖ4 → νΛSΟX8 → εmcΕvG → ΝS8λΠW → γnfΒuI → ΙM6νΧa → ηzXΚiE → ΡcGγΖS → ΛoSΟtY → mc4οΖw → λT9κΟA → βΩkwKJ → ΗΔBθec → ΦUOΤΞO → wuiynm ⮌ |
| 803,187,998× | 152 nodes | ⮎ 62ττρο → ςξ1ς63 → ροηC54 → νκΣPA8 → εΩrpKG → ΝΔ1ςeW → ρgOΤΒ4 → νuKΨn8 → εΓ6νfG → ηΝMΦVE → ΡygΑjS → oKEεΩu → ΟΔ5ξeU → ιkOΤxC → ΦuCηnO → Τw6νlQ → ηsAιpE → ΨΡ2ρRM → οΑosh6 → ιJ3παC → νΦΕcN8 → εxRΠkG → ΝoCηtW → Τg4οΒQ → λsKΨpA → αΓ2ρfK → οΕMΦd6 → ιyQΡjC → ΦqEεrO → Οw0σlU → σkAιx2 → ρΨCηL4 → νΤΑgP8 → εtJΩoG → ΝΕ4οdW → λgQΡΒA → αqKΨrK → ΕΓ0σfe → σQMΦΣ2 → ρyqqj4 → νEττε8 → μζ7μE9 → εγΟSHG → ΝΚlvYW → gb9κΗΓ → αVLΧΝK → ΕΑgΑhe → QKIαΩΤ → ΗΔrpec → UP1ςΤΟ → ρtjxo4 → νE4οζ8 → λεΟSFA → αΞlvUK → Εj9κye → αQEεΣK → ΟΕqqdU → kQττΡy → ΣxHβkR → ΙqCηra → ΤY0σΚQ → σsaΗp2 → ρW2ρΜ4 → ονeΓ76 → ιζNΥEC → ΦΠvlSO → wn9κum → αA6νκK → ηΩΔdKE → ΡΔPΣeS → soOΤtq → u51ςοo → ρκ5ξA4 → νιΨKB8 → εΧΒfMG → ΝzLΧiW → ΑgGγΒi → ΛLHβΨY → ΙΒbΖga → YUKΨΞΛ → ΓjbΖyg → UMEεΧΟ → ΟzjxiU → kHDζγy → ΡΚDζYS → ΡoaΗtS → oW4οΜu → λf5ξΓA → ιαMΦJC → ΦΖxjcO → wTDζΟm → Ρl9κwS → αoAιtK → ΨΕ4οdM → λΑQΡhA → αqIαrK → ΗΕ0σdc → σUQΡΞ2 → ρqiyr4 → νG0σδ8 → σεΛWF2 → ρΞdΔU4 → νjPΣy8 → εsEεpG → ΟΝ2ρVU → οkgΑx6 → ιKCηΩC → ΦΤΓePO → wtNΥom → wA4οκm → λΩ9κKA → βΩΓeKJ → ΗΔNΥec → wUOΤΞm → uj9κyo → αF5ξεK → ιΞΔdUC → ΦjPΣyO → wsEεpm → ΟA2ρκU → οΩjxK6 → ιΔDζeC → ΦΡOΤRO → wuosnm → A73πνλ → νζΩJE8 → εΠΔdSG → ΝnPΣuW → sg6νΒq → ηL1ςΨE → ρΡΑgR4 → νpJΩs8 → εΕ2ρdG → οΝQΡV6 → ιqgΑrC → ΦK0σΩO → σΔvle2 → ρP9κΤ4 → ναsoJ8 → εΖ3πcG → νΝSΟV8 → εmgΑvG → ΝK8λΩW → γΔfΒeI → ΙPLΧΤa → ΑtXΚoi → cI4οβΗ → λΘTΞaA → αkWΛxK → ΕeCηΔe → ΤQOΤΣQ → usqqpo ⮌ | ||
| 241,588,176× | 107 nodes | ⮎ GA2ρκε → οΩΜVK6 → ιΔfΒeC → ΦPLΧΤO → Αwsoli → IB3πιγ → νΧΘZM8 → εzXΚiG → ΝcGγΖW → ΛgSΟΒY → mcKΨΖw → ΓT9κΟg → αlLΧwK → ΕΑAιhe → ΨQIαΣM → ΗΑqqhc → UIτταΟ → βΞ9κUJ → αΗiybK → ΕVFδΝe → ΝhPΣΑW → sgIαΒq → ΗL1ςΨc → ρΒTΞg4 → νkKΨx8 → εΓCηfG → ΤΝMΦVQ → ysgΑpk → KE2ρζα → οΠΔdS6 → ιnPΣuC → Φs6νpO → ηw2ρlE → οΡAιR6 → ιΨosLC → ΦΒ3πgO → νwKΨl8 → εΓAιfG → ΨΝMΦVM → ΑygΑji → KIEεβα → ΟΘΔdaU → kXPΣΛy → sdDζΕq → ΡR1ςΡS → ρpnts4 → ν62ρξ8 → οθδFC6 → ιΥΜVOC → ΦvfΒmO → wM8λΧm → γz9κiI → αΙGγZK → ΛΕYΙdY → caQΡΘΗ → qXTΞΛs → kd1ςΕy → ρRDζΡ4 → νΡosR8 → εp3πsG → νΝ2ρV8 → οεgΑF6 → ιΞJΩUC → ΦΕiydO → wRFδΡm → Νp9κsW → αg2ρΒK → οΕKΨd6 → ιΓQΡfC → ΦqMΦrO → yw0σlk → σEAιζ2 → ρΨΟSL4 → νΒlvg8 → εL9κΨG → αΝΑgVK → ΕhJΩΑe → ΕQIαΣe → ΗrPΣqc → sU0σΞq → σj1ςy2 → ςπEε43 → ομΞT86 → ιδjxGC → ΦΜDζWO → ΡweΓlS → oOAιΥu → Ψv5ξmM → ιΑ8λhC → γΦIαNI → ΙΗwkba → YVBθΝΛ → ΦhbΖΑO → wUIαΞm → Ηj9κyc → αUEεΞK → ΟΕiydU → kRFδΡy → ΝpDζsW → Ρg2ρΒS → οoKΨt6 → ιΓ4οfC → λΦMΦNA → αywkjK → ΕFBθεe → ΦΞPΣUO → wsiypm ⮌ | ||
| 102,287,153× | 27 nodes | ⮎ UB7μιΟ → εΧjxMG → ΝzDζiW → ΡgGγΒS → ΛoKΨtY → Γc4οΖg → λTLΧΟA → αΑkwhK → ΕJBθαe → ΦΖPΣcO → wsSΟpm → mA2ρκw → οΩ9κK6 → ιαΓeJC → ΦΖNΥcO → xvSΟml → mC8λθw → γΥ9κOI → αΙumZK → ΕZ7μΙe → εZPΣΙG → ΝsYΙpW → ga2ρΘΓ → οXLΧΛ6 → ιΑcΕhC → ΦSIαΠO → Ηwmulc ⮌ | ||
| 26,204,366× | 5 nodes | ⮎ iTHβΟΑ → ΙlHβwa → ΙYAιΚa → ΨbXΚΗM → ΑcUΝΖi ⮌ | ||
| 2,862× | (fixed) 1 node | ⮎ rqττqr ⮌ | ||
| 7+ | - | - | - | Not showing digit sets 7+ due to verbosity. |