| 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 |
| 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 | 2,664× | (max) 9 nodes | ⮎ 3Κ → Ζ7 → xF → hV → BΒ → pN → Rl → Jt → Zd ⮌ |
| 3 | 1 cycle | 73,075× | (max) 2 nodes | ⮎ aΝc → bΝb ⮌ |
| 4 | 44 cycles | 47,981× | (max) 20 nodes | ⮎ RMpm → TKrk → XGvg → f8ΔY → v6ΖI → zcZE → l2ΚS → ΘIt6 → ΒabC → p0ΜO → ΜQl2 → ΚKr4 → ΖWf8 → x8ΔG → vgVI → dAΒa → r2ΚM → ΘUh6 → ΒCzC → pmPO ⮌ |
| 46,349× | (max) 20 nodes | ⮎ HCzw → neXQ → N6Ζq → zSjE → lGvS → fItY → b6Ζc → z0ΜE → ΜkR2 → ΚIt4 → Ζab8 → x0ΜG → ΜgV2 → ΚAΒ4 → ΖqL8 → xUhG → hCzW → nAΒQ → rMpM → VSji ⮌ | ||
| 46,110× | (max) 20 nodes | ⮎ F6Ζy → ziTE → lExS → jItU → bExc → j0ΜU → ΜEx2 → ΚiT4 → ΖEx8 → xiTG → hExW → jAΒU → rExM → jUhU → FCzy → niTQ → NExq → jSjU → HExw → jeXU ⮌ | ||
| 45,846× | (max) 20 nodes | ⮎ 96ΖΕ → zuHE → lcZS → J2Κu → Θab6 → Β0ΜC → ΜoN2 → ΚQl4 → ΖKr8 → xWfG → h8ΔW → vAΒI → rcZM → V2Κi → ΘCz6 → ΒmPC → pMpO → TQlk → LGvs → fWfY ⮌ | ||
| 45,398× | (max) 20 nodes | ⮎ 30ΜΛ → ΜΗ52 → ΚΑB4 → ΖoN8 → xQlG → hKrW → XAΒg → r8ΔM → vUhI → dCza → n2ΚQ → ΘMp6 → ΒSjC → pGvO → fQlY → L6Ζs → zWfE → l8ΔS → vItI → daba ⮌ | ||
| 44,790× | (max) 20 nodes | ⮎ F0Μy → ΜiT2 → ΚEx4 → ΖiT8 → xExG → jgVU → FAΒy → riTM → VExi → jCzU → nExQ → jMpU → TExk → jGvU → fExY → j6ΖU → zExE → liTS → JExu → jabU ⮌ | ||
| 44,789× | (max) 20 nodes | ⮎ JAΒu → rabM → V0Μi → ΜCz2 → ΚmP4 → ΖMp8 → xSjG → hGvW → fAΒY → r6ΖM → zUhE → lCzS → nItQ → bMpc → T0Μk → ΜGv2 → ΚeX4 → Ζ6Ζ8 → zwFE → lgVS ⮌ | ||
| 44,518× | (max) 20 nodes | ⮎ B2ΚΓ → ΘqL6 → ΒUhC → pCzO → nQlQ → NKrq → XSjg → H8Δw → veXI → d6Ζa → z2ΚE → ΘkR6 → ΒItC → pabO → R0Μm → ΜKr2 → ΚWf4 → Ζ8Δ8 → xuHG → hcZW ⮌ | ||
| 44,422× | (max) 20 nodes | ⮎ 52ΚΙ → ΘΓ96 → ΒsJC → pYdO → R4Θm → ΔKrA → tWfK → Z8Δe → v4ΘI → ΔcZA → t2ΚK → ΘYd6 → Β4ΘC → ΔoNA → tQlK → ZKre → X4Θg → Δ8ΔA → vsJI → dYda ⮌ | ||
| 43,766× | (max) 20 nodes | ⮎ 94ΘΕ → ΔuHA → tcZK → Z2Κe → Θ4Θ6 → ΔΑBA → toNK → ZQle → L4Θs → ΔWfA → t8ΔK → vYdI → d4Θa → Δ2ΚA → ΘsJ6 → ΒYdC → p4ΘO → ΔQlA → tKrK → ZWfe ⮌ | ||
| 43,478× | (max) 20 nodes | ⮎ D8ΔΑ → vmPI → dMpa → T2Κk → ΘGv6 → ΒeXC → p6ΖO → zQlE → lKrS → XItg → b8Δc → v0ΜI → ΜcZ2 → Κ2Κ4 → ΘΕ76 → ΒwFC → pgVO → RAΒm → rKrM → XUhg ⮌ | ||
| 43,110× | (max) 20 nodes | ⮎ LCzs → nWfQ → N8Δq → vSjI → dGva → f2ΚY → Θ6Ζ6 → ΒyDC → pkRO → RItm → bKrc → X0Μg → Μ8Δ2 → ΚuH4 → ΖcZ8 → x2ΚG → ΘgV6 → ΒAΒC → roNM → VQli ⮌ | ||
| 43,061× | (max) 20 nodes | ⮎ P0Μo → ΜOn2 → ΚOn4 → ΖOn8 → xOnG → hOnW → PAΒo → rOnM → VOni → PCzo → nOnQ → PMpo → TOnk → PGvo → fOnY → P6Ζo → zOnE → lOnS → PIto → bOnc ⮌ | ||
| 42,917× | (max) 20 nodes | ⮎ 70ΜΗ → ΜyD2 → ΚkR4 → ΖIt8 → xabG → h0ΜW → ΜAΒ2 → ΚqL4 → ΖUh8 → xCzG → ngVQ → NAΒq → rSjM → VGvi → fCzY → n6ΖQ → zMpE → lSjS → JGvu → fabY ⮌ | ||
| 42,869× | (max) 20 nodes | ⮎ DAΒΑ → rmPM → VMpi → TCzk → nGvQ → fMpY → T6Ζk → zGvE → leXS → J6Ζu → zabE → l0ΜS → ΜIt2 → Κab4 → Ζ0Μ8 → ΜwF2 → ΚgV4 → ΖAΒ8 → xqLG → hUhW ⮌ | ||
| 42,717× | (max) 20 nodes | ⮎ 74ΘΗ → ΔyDA → tkRK → ZIte → b4Θc → Δ0ΜA → ΜsJ2 → ΚYd4 → Ζ4Θ8 → ΔwFA → tgVK → ZAΒe → r4ΘM → ΔUhA → tCzK → nYdQ → N4Θq → ΔSjA → tGvK → fYdY ⮌ | ||
| 42,597× | (max) 20 nodes | ⮎ 50ΜΙ → ΜΓ92 → ΚsJ4 → ΖYd8 → x4ΘG → ΔgVA → tAΒK → rYdM → V4Θi → ΔCzA → tmPK → ZMpe → T4Θk → ΔGvA → teXK → Z6Ζe → z4ΘE → ΔkRA → tItK → bYdc ⮌ | ||
| 42,389× | (max) 20 nodes | ⮎ B6ΖΓ → zqLE → lUhS → JCzu → nabQ → N0Μq → ΜSj2 → ΚGv4 → ΖeX8 → x6ΖG → zgVE → lAΒS → rItM → bUhc → D0ΜΑ → ΜmP2 → ΚMp4 → ΖSj8 → xGvG → heXW ⮌ | ||
| 42,077× | (max) 20 nodes | ⮎ H0Μw → ΜeX2 → Κ6Ζ4 → ΖyD8 → xkRG → hItW → bAΒc → r0ΜM → ΜUh2 → ΚCz4 → ΖmP8 → xMpG → hSjW → HAΒw → reXM → V6Ζi → zCzE → nkRQ → NItq → bSjc ⮌ | ||
| 41,849× | (max) 20 nodes | ⮎ TGvk → fGvY → f6ΖY → z6ΖE → zkRE → lItS → bItc → b0Μc → Μ0Μ2 → ΜΙ32 → ΚΕ74 → ΖwF8 → xgVG → hAΒW → rAΒM → rUhM → VCzi → nCzQ → nMpQ → TMpk ⮌ | ||
| 41,661× | (max) 20 nodes | ⮎ D4ΘΑ → ΔmPA → tMpK → ZSje → H4Θw → ΔeXA → t6ΖK → zYdE → l4ΘS → ΔItA → tabK → Z0Μe → Μ4Θ2 → ΚΓ94 → ΖsJ8 → xYdG → h4ΘW → ΔAΒA → tqLK → ZUhe ⮌ | ||
| 41,541× | (max) 20 nodes | ⮎ 90ΜΕ → ΜuH2 → ΚcZ4 → Ζ2Κ8 → ΘwF6 → ΒgVC → pAΒO → rQlM → VKri → XCzg → n8ΔQ → vMpI → dSja → H2Κw → ΘeX6 → Β6ΖC → zoNE → lQlS → LIts → bWfc ⮌ | ||
| 41,461× | (max) 20 nodes | ⮎ B8ΔΓ → vqLI → dUha → D2ΚΑ → ΘmP6 → ΒMpC → pSjO → RGvm → fKrY → X6Ζg → z8ΔE → vkRI → dIta → b2Κc → Θ0Μ6 → ΜΑB2 → ΚoN4 → ΖQl8 → xKrG → hWfW ⮌ | ||
| 41,101× | (max) 20 nodes | ⮎ 72ΚΗ → ΘyD6 → ΒkRC → pItO → bQlc → L0Μs → ΜWf2 → Κ8Δ4 → ΖuH8 → xcZG → h2ΚW → ΘAΒ6 → ΒqLC → pUhO → RCzm → nKrQ → XMpg → T8Δk → vGvI → fcZY ⮌ | ||
| 40,677× | (max) 20 nodes | ⮎ B4ΘΓ → ΔqLA → tUhK → ZCze → n4ΘQ → ΔMpA → tSjK → ZGve → f4ΘY → Δ6ΖA → zsJE → lYdS → J4Θu → ΔabA → t0ΜK → ΜYd2 → Κ4Θ4 → ΖΓ98 → xsJG → hYdW ⮌ | ||
| 38,941× | (max) 20 nodes | ⮎ J8Δu → vabI → d0Μa → Μ2Κ2 → ΚΗ54 → ΖΑB8 → xoNG → hQlW → LAΒs → rWfM → V8Δi → vCzI → ncZQ → N2Κq → ΘSj6 → ΒGvC → peXO → R6Ζm → zKrE → lWfS ⮌ | ||
| 38,412× | (max) 20 nodes | ⮎ H6Ζw → zeXE → l6ΖS → zItE → labS → J0Μu → Μab2 → Κ0Μ4 → ΜΕ72 → ΚwF4 → ΖgV8 → xAΒG → rgVM → VAΒi → rCzM → nUhQ → NCzq → nSjQ → NGvq → fSjY ⮌ | ||
| 38,412× | (max) 20 nodes | ⮎ B0ΜΓ → ΜqL2 → ΚUh4 → ΖCz8 → xmPG → hMpW → TAΒk → rGvM → fUhY → D6ΖΑ → zmPE → lMpS → TItk → bGvc → f0ΜY → Μ6Ζ2 → ΚyD4 → ΖkR8 → xItG → habW ⮌ | ||
| 23,059× | 10 nodes | ⮎ P2Κo → ΘOn6 → ΒOnC → pOnO → ROnm → PKro → XOng → P8Δo → vOnI → dOna ⮌ | ||
| 22,906× | 10 nodes | ⮎ VIti → bCzc → n0ΜQ → ΜMp2 → ΚSj4 → ΖGv8 → xeXG → h6ΖW → zAΒE → rkRM ⮌ | ||
| 21,678× | 10 nodes | ⮎ L8Δs → vWfI → d8Δa → v2ΚI → ΘcZ6 → Β2ΚC → ΘoN6 → ΒQlC → pKrO → XQlg ⮌ | ||
| 21,678× | 10 nodes | ⮎ R2Κm → ΘKr6 → ΒWfC → p8ΔO → vQlI → dKra → X2Κg → Θ8Δ6 → ΒuHC → pcZO ⮌ | ||
| 19,950× | 10 nodes | ⮎ F2Κy → ΘiT6 → ΒExC → piTO → RExm → jKrU → XExg → j8ΔU → vExI → jcZU ⮌ | ||
| 19,950× | 10 nodes | ⮎ F8Δy → viTI → dExa → j2ΚU → ΘEx6 → ΒiTC → pExO → jQlU → LExs → jWfU ⮌ | ||
| 19,902× | 10 nodes | ⮎ RKrm → XKrg → X8Δg → v8ΔI → vcZI → d2Κa → Θ2Κ6 → ΘΑB6 → ΒoNC → pQlO ⮌ | ||
| 19,902× | 10 nodes | ⮎ 92ΚΕ → ΘuH6 → ΒcZC → p2ΚO → ΘQl6 → ΒKrC → pWfO → R8Δm → vKrI → dWfa ⮌ | ||
| 9,951× | 5 nodes | ⮎ L2Κs → ΘWf6 → Β8ΔC → voNI → dQla ⮌ | ||
| 8,900× | 4 nodes | ⮎ ZExe → j4ΘU → ΔExA → tiTK ⮌ | ||
| 8,420× | 4 nodes | ⮎ P4Θo → ΔOnA → tOnK → ZOne ⮌ | ||
| 8,380× | 4 nodes | ⮎ Z4Θe → Δ4ΘA → ΔsJA → tYdK ⮌ | ||
| 7,420× | 4 nodes | ⮎ F4Θy → ΔiTA → tExK → jYdU ⮌ | ||
| 4,930× | 2 nodes | ⮎ t4ΘK → ΔYdA ⮌ | ||
| 3,730× | 2 nodes | ⮎ PExo → jOnU ⮌ | ||
| 2,355× | (fixed) 1 node | ⮎ jExU ⮌ | ||
| 5 | 1 cycle | 22,537,440× | (fixed) (max) 1 node | ⮎ oOΝnP ⮌ |
| 6 | 2 cycles | 213,596,546× | (max) 146 nodes | ⮎ 863ΙΗΖ → ΖΑwFC8 → xogVOG → hQAΒmW → rMAΒqM → rVTihM → VFBΑxi → piCzUO → nRDylQ → lNJspS → ZSItke → bI4Θuc → Δc0ΜaA → Μt1ΛJ2 → ΛΙZc43 → ΘΕ2Κ86 → ΘΒvGB6 → ΒqeXMC → pU6ΖiO → zRDylE → mkJsSR → ZLHure → dW4Θga → ΔA2ΚΓA → ΘtrKJ6 → ΒaWfcC → p91ΛΔO → ΚuQlI4 → ΖcKra8 → xX1ΛfG → Κh7ΕV4 → ΖxBΑF8 → xphUNG → hSCzkW → nIAΒuQ → rcMpaM → VT1Λji → ΚGCzw4 → ΖnfWP8 → xO8ΔoG → vhPmVI → dNBΑpa → pS2ΚkO → ΘRHul6 → ΒdJsZC → pZ3ΙdO → ΖR3Ιl8 → ΖxJsF8 → xiYdUG → hE4ΘyW → ΔkAΒSA → trHuLK → dZVgda → B42ΚΙΓ → ΘΕqL86 → ΒwUhGC → pgCzWO → nR9ΓlQ → tNJspK → aYRked → J62ΚΗu → ΘΑabC6 → Βo0ΜOC → ΜpPmN2 → ΚSMpk4 → ΖTHuj8 → xdFwZG → ig3ΙWV → ΖD9Γz8 → xtlQJG → haKrcW → XB1ΛΒg → Κq8ΔM4 → ΖvTiH8 → xeExYG → jh5ΗVU → ΒFBΑxC → qohUON → TQCzmk → nMGvqQ → fUMpiY → TE6Ζyk → zkGvSE → lfHuXS → dJ7Εta → xa2ΚcG → Θh1ΛV6 → ΚΒBΑB4 → ΖqoNM8 → xUQliG → hLDyrW → lWAΒgS → rJ9ΓtM → taUhcK → ZD1Λze → Κm4ΘQ4 → ΖΔLq98 → xuUhIG → hcCzaW → nB1ΛΒQ → ΚqMpM4 → ΖUSji8 → xHDyvG → lhdYVS → JC4ΘΑu → ΔoabOA → tQ0ΜmK → ΜZLqd2 → ΚV3Ιh4 → ΗΕBΑ87 → zwoNGE → lgQlWS → LJ9Γts → taWfcK → Z91ΛΔe → Κu4ΘI4 → ΖΔba98 → xu0ΜIG → ΜhbaV2 → ΚC0ΜΑ4 → ΜΖnO72 → ΚyOnE4 → ΖkOnS8 → xPHunG → hdNoZW → RB3ΙΒm → ΖqKrM8 → xXTifG → hF7ΕxW → xiAΒUG → rhDyVM → lVBΑhS → pJBΑtO → paQlcO → RL1Λrm → ΚWKrg4 → ΖX9Γf8 → xt7ΕJG → xhZcVG → hC2ΚΑW → ΘoAΒO6 → ΒrPmLC → pWMpgO → TR9Γlk → tKGvsK → fZXedY ⮌ |
| 86,903,579× | 52 nodes | ⮎ GE3Ιyx → ΖkgVS8 → xIAΒuG → rhbaVM → VC0ΜΑi → ΜoCzO2 → ΚnPmP4 → ΖOMpo8 → xTPmjG → hNFwpW → hSAΒkW → rIAΒuM → rcUhaM → VD1Λzi → ΚmCzQ4 → ΖnLqP8 → xVNohG → hRBΑlW → pKAΒsO → rYQleM → VL5Ηri → ΒWCzgC → pn9ΓPO → tRNolK → ZRJsle → ZK4Θse → ΔY4ΘeA → Δt5ΗJA → ΒtZcJC → pa2ΚcO → ΘR1Λl6 → ΚΒJsB4 → ΖqYdM8 → xU4ΘiG → ΔhDyVA → tlBΑRK → pZJsdO → ZR3Ιle → ΖK4Θs8 → ΔxXeFA → ti6ΖUK → zZDydE → mk3ΙSR → ΖLHur8 → xdVgZG → hB3ΙΒW → ΖqAΒM8 → xrTiLG → hWExgW → jB9ΓΒU → tqExMK → jZTidU ⮌ | ||
| 7 | 1 cycle | 3,477,216,525× | (max) 8 nodes | ⮎ ubFΝwbJ → xdIΝtZG → wfJΝsXH → vdKΝrZI → ubHΝubJ → vbIΝtbI → udHΝuZJ → vbKΝrbI ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |