| 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 |
| 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 | 1,968× | (max) 6 nodes | ⮎ 3Σ → Ξ7 → ΖF → pV → JΒ → hd ⮌ |
| 984× | 3 nodes | ⮎ BΚ → xN → Zl ⮌ | ||
| 328× | (fixed) 1 node | ⮎ Rt ⮌ | ||
| 3 | 1 cycle | 98,687× | (max) 2 nodes | ⮎ eΦg → fΦf ⮌ |
| 4 | 20 cycles | 107,885× | (max) 41 nodes | ⮎ HEΖΕ → rmXU → NEΖy → rajU → N8Μy → ΔajI → l8Μa → ΔAΚI → zkZM → dAΚi → z4ΠM → ΜchA → Β4ΠK → ΜgdA → Β2ΣK → Πgd6 → Κ2ΣC → ΠwN6 → ΚYlC → xCΘO → vYlQ → VCΘq → vKzQ → fUpg → L0ΥΑ → Υef2 → Σ0Υ4 → ΥΝ72 → ΣΕF4 → ΞoV8 → ΖIΒG → pibW → J6ΞΓ → ΘibE → t6ΞS → ΘQtE → tSrS → ROvu → XSro → PGΔw → nWnY ⮌ |
| 107,765× | (max) 41 nodes | ⮎ 90ΥΝ → ΥΓH2 → ΣkZ4 → ΞAΚ8 → ΖyLG → pchW → J4ΠΓ → ΜibA → Β6ΞK → ΘgdE → t2ΣS → ΠQt6 → ΚSrC → xOvO → ZWnm → HCΘΕ → vmXQ → VEΖq → rKzU → fMxg → b0Υk → Υ8Μ2 → ΣΓH4 → ΞkZ8 → ΖAΚG → zoVM → dIΒi → j4Πc → Μ6ΞA → ΘΑJE → tgdS → R2Σu → ΠSr6 → ΚOvC → xWnO → ZGΔm → nCΘY → vEΖQ → rUpU → NKzy → fajg ⮌ | ||
| 107,661× | (max) 41 nodes | ⮎ 74ΠΟ → ΜΗDA → ΒsRK → hQte → T2Σs → ΠOv6 → ΚWnC → xGΔO → nYlY → FCΘΗ → vqTQ → VMxq → bKzk → f8Μg → Δ0ΥI → ΥkZ2 → ΣAΚ4 → ΞyL8 → ΖchG → p4ΠW → ΜIΒA → ΒibK → h6Ξe → Θ2ΣE → ΠsR6 → ΚQtC → xSrO → ZOvm → XCΘo → vGΔQ → nUpY → LEΖΑ → refU → N0Υy → Υaj2 → Σ8Μ4 → ΞΓH8 → ΖkZG → pAΚW → zIΒM → jchc ⮌ | ||
| 107,637× | (max) 41 nodes | ⮎ 94ΠΝ → ΜΓHA → ΒkZK → hAΚe → z2ΣM → Πch6 → Κ4ΠC → ΜwNA → ΒYlK → hCΘe → v2ΣQ → ΠUp6 → ΚKzC → xefO → Z0Υm → ΥCΘ2 → ΣuP4 → ΞUp8 → ΖKzG → pefW → J0ΥΓ → Υib2 → Σ6Ξ4 → ΞΗD8 → ΖsRG → pQtW → TIΒs → jOvc → X6Ξo → ΘGΔE → tmXS → REΖu → rSrU → PMxw → bWnk → H8ΜΕ → ΔmXI → lEΖa → rAΚU → zMxM → daji ⮌ | ||
| 107,629× | (max) 41 nodes | ⮎ D8ΜΙ → ΔuPI → lUpa → LAΚΑ → zefM → d0Υi → Υ4Π2 → ΣΛ94 → ΞΑJ8 → ΖgdG → p2ΣW → ΠIΒ6 → ΚibC → x6ΞO → ΘYlE → tCΘS → vQtQ → VSrq → PKzw → fWng → H0ΥΕ → ΥmX2 → ΣEΖ4 → ΞqT8 → ΖMxG → pajW → J8ΜΓ → ΔibI → l6Ξa → ΘAΚE → zsRM → dQti → T4Πs → ΜOvA → ΒWnK → hGΔe → n2ΣY → ΠEΖ6 → ΚqTC → xMxO → bYlk ⮌ | ||
| 107,133× | (max) 41 nodes | ⮎ 30ΥΤ → ΥΟ52 → ΣΙB4 → ΞwN8 → ΖYlG → pCΘW → vIΒQ → jUpc → L6ΞΑ → ΘefE → t0ΥS → ΥQt2 → ΣSr4 → ΞOv8 → ΖWnG → pGΔW → nIΒY → jEΖc → r6ΞU → ΘMxE → tajS → R8Μu → ΔSrI → lOva → XAΚo → zGΔM → nchY → F4ΠΗ → ΜqTA → ΒMxK → haje → 92ΣΝ → ΠΓH6 → ΚkZC → xAΚO → zYlM → dCΘi → v4ΠQ → ΜUpA → ΒKzK → hefe ⮌ | ||
| 106,845× | (max) 41 nodes | ⮎ 70ΥΟ → ΥΗD2 → ΣsR4 → ΞQt8 → ΖSrG → pOvW → XIΒo → jGΔc → n6ΞY → ΘEΖE → tqTS → RMxu → bSrk → P8Μw → ΔWnI → lGΔa → nAΚY → zEΖM → rchU → N4Πy → ΜajA → Β8ΜK → ΔgdI → l2Σa → ΠAΚ6 → ΚyLC → xchO → Z4Πm → ΜCΘA → ΒuPK → hUpe → L2ΣΑ → Πef6 → Κ0ΥC → ΥwN2 → ΣYl4 → ΞCΘ8 → ΖuPG → pUpW → LIΒΑ → jefc ⮌ | ||
| 106,805× | (max) 41 nodes | ⮎ 96ΞΝ → ΘΓHE → tkZS → RAΚu → zSrM → dOvi → X4Πo → ΜGΔA → ΒmXK → hEΖe → r2ΣU → ΠMx6 → ΚajC → x8ΜO → ΔYlI → lCΘa → vAΚQ → zUpM → dKzi → f4Πg → Μ0ΥA → ΥΑJ2 → Σgd4 → Ξ2Σ8 → ΠΕF6 → ΚoVC → xIΒO → jYlc → D6ΞΙ → ΘuPE → tUpS → RKzu → fSrg → P0Υw → ΥWn2 → ΣGΔ4 → ΞmX8 → ΖEΖG → roVU → NIΒy → jajc ⮌ | ||
| 106,497× | (max) 41 nodes | ⮎ TOvs → XOvo → XGΔo → nGΔY → nEΖY → rEΖU → rMxU → bMxk → b8Μk → Δ8ΜI → ΔkZI → lAΚa → zAΚM → zchM → d4Πi → Μ4ΠA → ΜΑJA → ΒgdK → h2Σe → Π2Σ6 → ΠΙB6 → ΚwNC → xYlO → ZCΘm → vCΘQ → vUpQ → VKzq → fKzg → f0Υg → Υ0Υ2 → ΥΡ32 → ΣΝ74 → ΞΕF8 → ΖoVG → pIΒW → jIΒc → j6Ξc → Θ6ΞE → ΘsRE → tQtS → TQts ⮌ | ||
| 106,445× | (max) 41 nodes | ⮎ B4ΠΛ → ΜyLA → ΒchK → h4Πe → Μ2ΣA → ΠΑJ6 → ΚgdC → x2ΣO → ΠYl6 → ΚCΘC → xuPO → ZUpm → LCΘΑ → vefQ → V0Υq → ΥKz2 → Σef4 → Ξ0Υ8 → ΥΕF2 → ΣoV4 → ΞIΒ8 → ΖibG → p6ΞW → ΘIΒE → tibS → R6Ξu → ΘSrE → tOvS → XQto → TGΔs → nOvY → XEΖo → rGΔU → nMxY → bEΖk → r8ΜU → ΔMxI → laja → B8ΜΛ → ΔyLI → lcha ⮌ | ||
| 106,405× | (max) 41 nodes | ⮎ D4ΠΙ → ΜuPA → ΒUpK → hKze → f2Σg → Π0Υ6 → ΥΙB2 → ΣwN4 → ΞYl8 → ΖCΘG → voVQ → VIΒq → jKzc → f6Ξg → Θ0ΥE → ΥsR2 → ΣQt4 → ΞSr8 → ΖOvG → pWnW → JGΔΓ → nibY → F6ΞΗ → ΘqTE → tMxS → bQtk → T8Μs → ΔOvI → lWna → HAΚΕ → zmXM → dEΖi → r4ΠU → ΜMxA → ΒajK → h8Μe → Δ2ΣI → ΠkZ6 → ΚAΚC → zwNM → dYli ⮌ | ||
| 106,349× | (max) 41 nodes | ⮎ 50ΥΡ → ΥΛ92 → ΣΑJ4 → Ξgd8 → Ζ2ΣG → ΠoV6 → ΚIΒC → xibO → Z6Ξm → ΘCΘE → vsRQ → VQtq → TKzs → fOvg → X0Υo → ΥGΔ2 → ΣmX4 → ΞEΖ8 → ΖqTG → pMxW → bIΒk → j8Μc → Δ6ΞI → ΘkZE → tAΚS → zQtM → dSri → P4Πw → ΜWnA → ΒGΔK → ngdY → F2ΣΗ → ΠqT6 → ΚMxC → xajO → Z8Μm → ΔCΘI → vkZQ → VAΚq → zKzM → fchg ⮌ | ||
| 105,965× | (max) 41 nodes | ⮎ 52ΣΡ → ΠΛ96 → ΚΑJC → xgdO → Z2Σm → ΠCΘ6 → ΚuPC → xUpO → ZKzm → fCΘg → v0ΥQ → ΥUp2 → ΣKz4 → Ξef8 → Ζ0ΥG → ΥoV2 → ΣIΒ4 → Ξib8 → Ζ6ΞG → ΘoVE → tIΒS → jQtc → T6Ξs → ΘOvE → tWnS → RGΔu → nSrY → PEΖw → rWnU → NGΔy → najY → F8ΜΗ → ΔqTI → lMxa → bAΚk → z8ΜM → ΔchI → l4Πa → ΜAΚA → ΒyLK → hche ⮌ | ||
| 105,413× | (max) 41 nodes | ⮎ B0ΥΛ → ΥyL2 → Σch4 → Ξ4Π8 → ΜΕFA → ΒoVK → hIΒe → j2Σc → Π6Ξ6 → ΚΗDC → xsRO → ZQtm → TCΘs → vOvQ → XUpo → LGΔΑ → nefY → F0ΥΗ → ΥqT2 → ΣMx4 → Ξaj8 → Ζ8ΜG → ΔoVI → lIΒa → jAΚc → z6ΞM → ΘchE → t4ΠS → ΜQtA → ΒSrK → hOve → X2Σo → ΠGΔ6 → ΚmXC → xEΖO → rYlU → NCΘy → vajQ → V8Μq → ΔKzI → lefa ⮌ | ||
| 105,381× | (max) 41 nodes | ⮎ 72ΣΟ → ΠΗD6 → ΚsRC → xQtO → ZSrm → PCΘw → vWnQ → VGΔq → nKzY → fEΖg → r0ΥU → ΥMx2 → Σaj4 → Ξ8Μ8 → ΖΓHG → pkZW → JAΚΓ → zibM → d6Ξi → Θ4ΠE → ΜsRA → ΒQtK → hSre → P2Σw → ΠWn6 → ΚGΔC → xmXO → ZEΖm → rCΘU → vMxQ → bUpk → L8ΜΑ → ΔefI → l0Υa → ΥAΚ2 → ΣyL4 → Ξch8 → Ζ4ΠG → ΜoVA → ΒIΒK → jgdc ⮌ | ||
| 105,357× | (max) 41 nodes | ⮎ B2ΣΛ → ΠyL6 → ΚchC → x4ΠO → ΜYlA → ΒCΘK → vgdQ → V2Σq → ΠKz6 → ΚefC → x0ΥO → ΥYl2 → ΣCΘ4 → ΞuP8 → ΖUpG → pKzW → fIΒg → j0Υc → Υ6Ξ2 → ΣΗD4 → ΞsR8 → ΖQtG → pSrW → PIΒw → jWnc → H6ΞΕ → ΘmXE → tEΖS → rQtU → TMxs → bOvk → X8Μo → ΔGΔI → nkZY → FAΚΗ → zqTM → dMxi → b4Πk → Μ8ΜA → ΔΑJI → lgda ⮌ | ||
| 104,829× | (max) 41 nodes | ⮎ DAΚΙ → zuPM → dUpi → L4ΠΑ → ΜefA → Β0ΥK → Υgd2 → Σ2Σ4 → ΠΝ76 → ΚΕFC → xoVO → ZIΒm → jCΘc → v6ΞQ → ΘUpE → tKzS → fQtg → T0Υs → ΥOv2 → ΣWn4 → ΞGΔ8 → ΖmXG → pEΖW → rIΒU → jMxc → b6Ξk → Θ8ΜE → ΔsRI → lQta → TAΚs → zOvM → dWni → H4ΠΕ → ΜmXA → ΒEΖK → rgdU → N2Σy → Πaj6 → Κ8ΜC → ΔwNI → lYla ⮌ | ||
| 104,501× | (max) 41 nodes | ⮎ B6ΞΛ → ΘyLE → tchS → R4Πu → ΜSrA → ΒOvK → hWne → H2ΣΕ → ΠmX6 → ΚEΖC → xqTO → ZMxm → bCΘk → v8ΜQ → ΔUpI → lKza → fAΚg → z0ΥM → Υch2 → Σ4Π4 → ΞΛ98 → ΖΑJG → pgdW → J2ΣΓ → Πib6 → Κ6ΞC → ΘwNE → tYlS → RCΘu → vSrQ → VOvq → XKzo → fGΔg → n0ΥY → ΥEΖ2 → ΣqT4 → ΞMx8 → ΖajG → p8ΜW → ΔIΒI → liba ⮌ | ||
| 103,845× | (max) 41 nodes | ⮎ JCΘΓ → vibQ → V6Ξq → ΘKzE → tefS → R0Υu → ΥSr2 → ΣOv4 → ΞWn8 → ΖGΔG → pmXW → JEΖΓ → ribU → N6Ξy → ΘajE → t8ΜS → ΔQtI → lSra → PAΚw → zWnM → dGΔi → n4ΠY → ΜEΖA → ΒqTK → hMxe → b2Σk → Π8Μ6 → ΚΓHC → xkZO → ZAΚm → zCΘM → vchQ → V4Πq → ΜKzA → ΒefK → h0Υe → Υ2Σ2 → ΣΟ54 → ΞΙB8 → ΖwNG → pYlW ⮌ | ||
| 103,125× | (max) 41 nodes | ⮎ D0ΥΙ → ΥuP2 → ΣUp4 → ΞKz8 → ΖefG → p0ΥW → ΥIΒ2 → Σib4 → Ξ6Ξ8 → ΘΕFE → toVS → RIΒu → jSrc → P6Ξw → ΘWnE → tGΔS → nQtY → TEΖs → rOvU → XMxo → bGΔk → n8ΜY → ΔEΖI → rkZU → NAΚy → zajM → d8Μi → Δ4ΠI → ΜkZA → ΒAΚK → zgdM → d2Σi → Π4Π6 → ΜΙBA → ΒwNK → hYle → D2ΣΙ → ΠuP6 → ΚUpC → xKzO → fYlg ⮌ | ||
| 5 | 1 cycle | 36,949,774× | (max) 4 nodes | ⮎ tQΦtS → uQΦtR → uSΦrR → tRΦsS ⮌ |
| 6 | 6 cycles | 529,179,309× | (max) 11 nodes | ⮎ ig3Ρed → Ξ51ΤΠ8 → ΣΛΕFA4 → ΞΑoVK8 → ΖgIΒeG → pj1ΤbW → ΣJ7ΝΒ4 → ΞΖhcF8 → Ζq4ΠUG → ΜpLyVA → ΒdJΑhK ⮌ |
| 4,907,885× | 8 nodes | ⮎ l40ΥΡa → ΥΝAΚ82 → ΣΕyLG4 → ΞochW8 → ΖI4ΠΓG → ΜpjaVA → ΒK8ΜΑK → ΔhfedI ⮌ | ||
| 3,598,471× | (fixed) 1 node | ⮎ xZBΙlO ⮌ | ||
| 3,475,076× | 3 nodes | ⮎ xp3ΡVO → ΞZJΑl8 → ΖhBΙdG ⮌ | ||
| 506,645× | 4 nodes | ⮎ ΖO0ΥwG → ΥpXmV2 → ΣKEΖΑ4 → ΞrfeT8 ⮌ | ||
| 263,767× | 4 nodes | ⮎ ΖG0ΥΕG → ΥpnWV2 → ΣKGΔΑ4 → ΞnfeX8 ⮌ | ||
| 7 | 1 cycle | 6,890,268,489× | (max) 8 nodes | ⮎ ΑfHΦΓfL → ΔhKΦzdI → ΓjLΦybJ → ΒhMΦxdK → ΑfJΦΑfL → ΒfKΦzfK → ΑhJΦΑdL → ΒfMΦxfK ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |