| 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 | 1 cycle | 3,440× | (max) 5 nodes | ⮎ 7Σ → ΚF → tV → NΒ → dl ⮌ |
| 3 | 1 cycle | 113,477× | (max) 2 nodes | ⮎ gαi → hαh ⮌ |
| 4 | 37 cycles | 88,293× | (max) 28 nodes | ⮎ VQxu → XOzs → bKΔo → jCΜg → z2ΧQ → ΥYp6 → ΞGΘC → ΒqXO → dIΖm → n8Πc → ΘAΞI → ΔoZM → hEΚi → v0ΩU → ΩQx2 → ΧWr4 → ΣKΔ8 → ΚifG → t2ΧW → ΥMΒ6 → ΞejC → Β4ΥO → ΠclA → Ζ8ΠK → ΘkdI → p6Σa → ΜEΚE → xuTS ⮌ |
| 81,830× | (max) 28 nodes | ⮎ B8ΠΟ → ΘΓLI → pgha → F0ΩΛ → ΩuT2 → ΧQx4 → ΣWr8 → ΚKΔG → tifW → N2ΧΓ → Υej6 → Ξ4ΥC → ΠΑNA → ΖclK → l8Πe → Θ6ΣI → ΜoZE → xEΚS → vUtU → ROzy → bWro → LCΜΕ → zifQ → Z2Χq → ΥGΘ6 → ΞqXC → ΒIΖO → nclc ⮌ | ||
| 81,698× | (max) 28 nodes | ⮎ D8ΠΝ → ΘyPI → pYpa → HEΚΙ → vqXU → RIΖy → nWrc → LAΞΕ → ΔifM → h2Χi → Υ0Ω6 → ΩΝB2 → ΧΑN4 → Σcl8 → Κ8ΠG → ΘsVI → pMΒa → fEΚk → v4ΥU → ΠQxA → ΖWrK → lKΔe → j6Σg → Μ2ΧE → ΥwR6 → ΞUtC → ΒOzO → danm ⮌ | ||
| 81,666× | (max) 28 nodes | ⮎ 52ΧΦ → ΥΟ96 → ΞΕJC → ΒkdO → d6Σm → Μ8ΠE → ΘwRI → pUta → PEΚΑ → vanU → RCΜy → zWrQ → ZKΔq → jGΘg → r2ΧY → ΥIΖ6 → ΞmbC → ΒAΞO → ΔclM → h8Πi → Θ0ΩI → ΩoZ2 → ΧEΚ4 → ΣuT8 → ΚQxG → tWrW → NKΔΓ → jejg ⮌ | ||
| 81,106× | (max) 28 nodes | ⮎ 30ΩΨ → ΩΤ52 → ΧΝB4 → ΣΑN8 → ΚclG → t8ΠW → ΘMΒI → peja → F4ΥΛ → ΠuTA → ΖQxK → lWre → L6ΣΕ → ΜifE → x2ΧS → ΥUt6 → ΞOzC → ΒanO → dCΜm → z8ΠQ → ΘYpI → pGΘa → rEΚY → vIΖU → nQxc → XAΞs → ΔKΔM → jghg ⮌ | ||
| 80,882× | (max) 28 nodes | ⮎ 94ΥΡ → ΠΗHA → ΖoZK → lEΚe → v6ΣU → ΜQxE → xWrS → VKΔu → jOzg → b2Χo → ΥCΜ6 → ΞyPC → ΒYpO → dGΘm → r8ΠY → ΘIΖI → pmba → FAΞΛ → ΔuTM → hQxi → X0Ωs → ΩKΔ2 → Χif4 → Σ2Χ8 → ΥΙF6 → ΞsVC → ΒMΒO → fclk ⮌ | ||
| 80,770× | (max) 28 nodes | ⮎ FCΜΛ → zuTQ → ZQxq → XGΘs → rKΔY → jIΖg → n2Χc → ΥAΞ6 → ΞΓLC → ΒghO → d0Ωm → Ω8Π2 → ΧΗH4 → ΣoZ8 → ΚEΚG → vsVU → RMΒy → fWrk → L4ΥΕ → ΠifA → Ζ2ΧK → Υkd6 → Ξ6ΣC → ΜΑNE → xclS → V8Πu → ΘOzI → pana ⮌ | ||
| 80,082× | (max) 28 nodes | ⮎ 90ΩΡ → ΩΗH2 → ΧoZ4 → ΣEΚ8 → ΚuTG → tQxW → XMΒs → fKΔk → j4Υg → Π2ΧA → ΥΕJ6 → ΞkdC → Β6ΣO → ΜclE → x8ΠS → ΘUtI → pOza → bEΚo → vCΜU → zQxQ → ZWrq → LGΘΕ → rifY → J2ΧΗ → Υmb6 → ΞAΞC → ΔΑNM → hcli ⮌ | ||
| 79,774× | (max) 28 nodes | ⮎ D2ΧΝ → ΥyP6 → ΞYpC → ΒGΘO → rclY → J8ΠΗ → ΘmbI → pAΞa → ΔEΚM → vghU → R0Ωy → ΩWr2 → ΧKΔ4 → Σif8 → Κ2ΧG → ΥsV6 → ΞMΒC → ΒejO → d4Υm → Π8ΠA → ΘΕJI → pkda → F6ΣΛ → ΜuTE → xQxS → XUts → PKΔΑ → jang ⮌ | ||
| 79,333× | (max) 28 nodes | ⮎ T0Ωw → ΩSv2 → ΧSv4 → ΣSv8 → ΚSvG → tSvW → TMΒw → fSvk → T4Υw → ΠSvA → ΖSvK → lSve → T6Σw → ΜSvE → xSvS → VSvu → TOzw → bSvo → TCΜw → zSvQ → ZSvq → TGΘw → rSvY → TIΖw → nSvc → TAΞw → ΔSvM → hSvi ⮌ | ||
| 79,282× | (max) 28 nodes | ⮎ B2ΧΟ → ΥΓL6 → ΞghC → Β0ΩO → Ωcl2 → Χ8Π4 → ΣΗH8 → ΚoZG → tEΚW → vMΒU → fQxk → X4Υs → ΠKΔA → ΖifK → l2Χe → Υ6Σ6 → ΞΛDC → ΒwRO → dUtm → P8ΠΑ → ΘanI → pCΜa → zEΚQ → vYpU → RGΘy → rWrY → LIΖΕ → nifc ⮌ | ||
| 79,113× | (max) 28 nodes | ⮎ D0ΩΝ → ΩyP2 → ΧYp4 → ΣGΘ8 → ΚqXG → tIΖW → nMΒc → fAΞk → Δ4ΥM → ΠghA → Ζ0ΩK → Ωkd2 → Χ6Σ4 → ΣΛD8 → ΚwRG → tUtW → PMΒΑ → fank → D4ΥΝ → ΠyPA → ΖYpK → lGΘe → r6ΣY → ΜIΖE → xmbS → VAΞu → ΔOzM → hani ⮌ | ||
| 79,110× | (max) 28 nodes | ⮎ 72ΧΤ → ΥΛD6 → ΞwRC → ΒUtO → dOzm → b8Πo → ΘCΜI → zoZQ → ZEΚq → vGΘU → rQxY → XIΖs → nKΔc → jAΞg → Δ2ΧM → Υgh6 → Ξ0ΩC → ΩΑN2 → Χcl4 → Σ8Π8 → ΚΗHG → toZW → NEΚΓ → vejU → R4Υy → ΠWrA → ΖKΔK → life ⮌ | ||
| 79,101× | (max) 28 nodes | ⮎ JAΞΗ → ΔmbM → hAΞi → Δ0ΩM → Ωgh2 → Χ0Ω4 → ΩΡ72 → ΧΙF4 → ΣsV8 → ΚMΒG → tejW → N4ΥΓ → ΠejA → Ζ4ΥK → ΠkdA → Ζ6ΣK → ΜkdE → x6ΣS → ΜUtE → xOzS → bUto → PCΜΑ → zanQ → ZCΜq → zGΘQ → rYpY → JGΘΗ → rmbY ⮌ | ||
| 79,017× | (max) 28 nodes | ⮎ DAΞΝ → ΔyPM → hYpi → H0ΩΙ → ΩqX2 → ΧIΖ4 → Σmb8 → ΚAΞG → ΔsVM → hMΒi → f0Ωk → Ω4Υ2 → ΧΟ94 → ΣΕJ8 → ΚkdG → t6ΣW → ΜMΒE → xejS → V4Υu → ΠOzA → ΖanK → lCΜe → z6ΣQ → ΜYpE → xGΘS → rUtY → PIΖΑ → nanc ⮌ | ||
| 78,921× | (max) 28 nodes | ⮎ B0ΩΟ → ΩΓL2 → Χgh4 → Σ0Ω8 → ΩΙF2 → ΧsV4 → ΣMΒ8 → ΚejG → t4ΥW → ΠMΒA → ΖejK → l4Υe → Π6ΣA → ΜΕJE → xkdS → V6Σu → ΜOzE → xanS → VCΜu → zOzQ → bYpo → HCΜΙ → zqXQ → ZIΖq → nGΘc → rAΞY → ΔIΖM → nghc ⮌ | ||
| 78,878× | (max) 28 nodes | ⮎ 96ΣΡ → ΜΗHE → xoZS → VEΚu → vOzU → bQxo → XCΜs → zKΔQ → jYpg → H2ΧΙ → ΥqX6 → ΞIΖC → ΒmbO → dAΞm → Δ8ΠM → ΘghI → p0Ωa → ΩEΚ2 → ΧuT4 → ΣQx8 → ΚWrG → tKΔW → jMΒg → f2Χk → Υ4Υ6 → ΠΝBA → ΖΑNK → lcle ⮌ | ||
| 78,861× | (max) 28 nodes | ⮎ 74ΥΤ → ΠΛDA → ΖwRK → lUte → P6ΣΑ → ΜanE → xCΜS → zUtQ → ZOzq → bGΘo → rCΜY → zIΖQ → nYpc → HAΞΙ → ΔqXM → hIΖi → n0Ωc → ΩAΞ2 → ΧΓL4 → Σgh8 → Κ0ΩG → ΩsV2 → ΧMΒ4 → Σej8 → Κ4ΥG → ΠsVA → ΖMΒK → leje ⮌ | ||
| 78,717× | (max) 28 nodes | ⮎ 50ΩΦ → ΩΟ92 → ΧΕJ4 → Σkd8 → Κ6ΣG → ΜsVE → xMΒS → fUtk → P4ΥΑ → ΠanA → ΖCΜK → zkdQ → Z6Σq → ΜGΘE → xqXS → VIΖu → nOzc → bAΞo → ΔCΜM → zghQ → Z0Ωq → ΩGΘ2 → ΧqX4 → ΣIΖ8 → ΚmbG → tAΞW → ΔMΒM → heji ⮌ | ||
| 78,441× | (max) 28 nodes | ⮎ B6ΣΟ → ΜΓLE → xghS → V0Ωu → ΩOz2 → Χan4 → ΣCΜ8 → ΚyPG → tYpW → NGΘΓ → rejY → J4ΥΗ → ΠmbA → ΖAΞK → ΔkdM → h6Σi → Μ0ΩE → ΩwR2 → ΧUt4 → ΣOz8 → ΚanG → tCΜW → zMΒQ → fYpk → H4ΥΙ → ΠqXA → ΖIΖK → nkdc ⮌ | ||
| 78,093× | (max) 28 nodes | ⮎ B4ΥΟ → ΠΓLA → ΖghK → l0Ωe → Ω6Σ2 → ΧΛD4 → ΣwR8 → ΚUtG → tOzW → bMΒo → fCΜk → z4ΥQ → ΠYpA → ΖGΘK → rkdY → J6ΣΗ → ΜmbE → xAΞS → ΔUtM → hOzi → b0Ωo → ΩCΜ2 → ΧyP4 → ΣYp8 → ΚGΘG → tqXW → NIΖΓ → nejc ⮌ | ||
| 77,673× | (max) 28 nodes | ⮎ J0ΩΗ → Ωmb2 → ΧAΞ4 → ΣΓL8 → ΚghG → t0ΩW → ΩMΒ2 → Χej4 → Σ4Υ8 → ΠΙFA → ΖsVK → lMΒe → f6Σk → Μ4ΥE → ΠwRA → ΖUtK → lOze → b6Σo → ΜCΜE → zwRQ → ZUtq → PGΘΑ → ranY → JCΜΗ → zmbQ → ZAΞq → ΔGΘM → rghY ⮌ | ||
| 77,553× | (max) 28 nodes | ⮎ VOzu → bOzo → bCΜo → zCΜQ → zYpQ → ZGΘq → rGΘY → rIΖY → nIΖc → nAΞc → ΔAΞM → ΔghM → h0Ωi → Ω0Ω2 → ΩΦ32 → ΧΡ74 → ΣΙF8 → ΚsVG → tMΒW → fMΒk → f4Υk → Π4ΥA → ΠΕJA → ΖkdK → l6Σe → Μ6ΣE → ΜwRE → xUtS ⮌ | ||
| 77,490× | (max) 28 nodes | ⮎ JEΚΗ → vmbU → RAΞy → ΔWrM → hKΔi → j0Ωg → Ω2Χ2 → ΧΤ54 → ΣΝB8 → ΚΑNG → tclW → N8ΠΓ → ΘejI → p4Υa → ΠEΚA → ΖuTK → lQxe → X6Σs → ΜKΔE → xifS → V2Χu → ΥOz6 → ΞanC → ΒCΜO → zclQ → Z8Πq → ΘGΘI → roZY ⮌ | ||
| 77,181× | (max) 28 nodes | ⮎ 70ΩΤ → ΩΛD2 → ΧwR4 → ΣUt8 → ΚOzG → tanW → NCΜΓ → zejQ → Z4Υq → ΠGΘA → ΖqXK → lIΖe → n6Σc → ΜAΞE → ΔwRM → hUti → P0ΩΑ → Ωan2 → ΧCΜ4 → ΣyP8 → ΚYpG → tGΘW → rMΒY → fIΖk → n4Υc → ΠAΞA → ΖΓLK → lghe ⮌ | ||
| 77,026× | (max) 28 nodes | ⮎ H8ΠΙ → ΘqXI → pIΖa → nEΚc → vAΞU → ΔQxM → hWri → L0ΩΕ → Ωif2 → Χ2Χ4 → ΥΡ76 → ΞΙFC → ΒsVO → dMΒm → f8Πk → Θ4ΥI → ΠoZA → ΖEΚK → vkdU → R6Σy → ΜWrE → xKΔS → jUtg → P2ΧΑ → Υan6 → ΞCΜC → ΒyPO → dYpm ⮌ | ||
| 76,617× | (max) 28 nodes | ⮎ H6ΣΙ → ΜqXE → xIΖS → nUtc → PAΞΑ → ΔanM → hCΜi → z0ΩQ → ΩYp2 → ΧGΘ4 → ΣqX8 → ΚIΖG → tmbW → NAΞΓ → ΔejM → h4Υi → Π0ΩA → ΩΕJ2 → Χkd4 → Σ6Σ8 → ΜΙFE → xsVS → VMΒu → fOzk → b4Υo → ΠCΜA → ΖyPK → lYpe ⮌ | ||
| 75,981× | (max) 28 nodes | ⮎ D6ΣΝ → ΜyPE → xYpS → VGΘu → rOzY → bIΖo → nCΜc → zAΞQ → ΔYpM → hGΘi → r0ΩY → ΩIΖ2 → Χmb4 → ΣAΞ8 → ΚΓLG → tghW → N0ΩΓ → Ωej2 → Χ4Υ4 → ΣΟ98 → ΚΕJG → tkdW → N6ΣΓ → ΜejE → x4ΥS → ΠUtA → ΖOzK → lane ⮌ | ||
| 43,358× | 14 nodes | ⮎ ZMΒq → fGΘk → r4ΥY → ΠIΖA → ΖmbK → lAΞe → Δ6ΣM → ΜghE → x0ΩS → ΩUt2 → ΧOz4 → Σan8 → ΚCΜG → zsVQ ⮌ | ||
| 41,099× | 14 nodes | ⮎ T2Χw → ΥSv6 → ΞSvC → ΒSvO → dSvm → T8Πw → ΘSvI → pSva → TEΚw → vSvU → TQxw → XSvs → TKΔw → jSvg ⮌ | ||
| 38,178× | 14 nodes | ⮎ XKΔs → jKΔg → j2Χg → Υ2Χ6 → ΥΝB6 → ΞΑNC → ΒclO → d8Πm → Θ8ΠI → ΘoZI → pEΚa → vEΚU → vQxU → XQxs ⮌ | ||
| 38,178× | 14 nodes | ⮎ 92ΧΡ → ΥΗH6 → ΞoZC → ΒEΚO → vclU → R8Πy → ΘWrI → pKΔa → jEΚg → v2ΧU → ΥQx6 → ΞWrC → ΒKΔO → jclg ⮌ | ||
| 38,178× | 14 nodes | ⮎ L2ΧΕ → Υif6 → Ξ2ΧC → ΥΑN6 → ΞclC → Β8ΠO → ΘclI → p8Πa → ΘEΚI → voZU → REΚy → vWrU → RKΔy → jWrg ⮌ | ||
| 38,178× | 14 nodes | ⮎ F2ΧΛ → ΥuT6 → ΞQxC → ΒWrO → dKΔm → j8Πg → Θ2ΧI → ΥoZ6 → ΞEΚC → ΒuTO → dQxm → X8Πs → ΘKΔI → pifa ⮌ | ||
| 38,178× | 14 nodes | ⮎ F8ΠΛ → ΘuTI → pQxa → XEΚs → vKΔU → jQxg → X2Χs → ΥKΔ6 → ΞifC → Β2ΧO → Υcl6 → Ξ8ΠC → ΘΑNI → pcla ⮌ | ||
| 38,178× | 14 nodes | ⮎ LEΚΕ → vifU → R2Χy → ΥWr6 → ΞKΔC → ΒifO → d2Χm → Υ8Π6 → ΞΗHC → ΒoZO → dEΚm → v8ΠU → ΘQxI → pWra ⮌ | ||
| 19,089× | 7 nodes | ⮎ L8ΠΕ → ΘifI → p2Χa → ΥEΚ6 → ΞuTC → ΒQxO → dWrm ⮌ | ||
| 5 | 1 cycle | 46,504,371× | (fixed) (max) 1 node | ⮎ wSαvT ⮌ |
| 6 | 5 cycles | 654,330,252× | 17 nodes | ⮎ dN7ΡΒm → Κe8ΠkG → Θt5ΤVI → ΞpNΑZC → ΒdFΙlO → td7ΡlW → ΚN7ΡΒG → ΚtdkVG → tO6ΣΑW → ΜcMΒmE → xf9ΟjS → ΖV3ΦtK → ΣlNΑd8 → Κd7ΡlG → Κt7ΡVG → ΚtNΑVG → tdNΑlW ⮌ |
| 26,299,948× | (max) 19 nodes | ⮎ JF3ΦΚΗ → ΣumbU8 → ΚQAΞyG → ΔtXqVM → hOIΖΑi → nc0Ωmc → ΩB9ΟΞ2 → ΧΖΒMJ4 → Σmejc8 → ΚA4ΥΟG → ΠΕsVKA → ΖkMΒeK → lf5Τje → Ξ73ΦΣC → ΣΛΑNE8 → ΚwclSG → tU8ΠuW → ΘQMΒyI → pfXqja ⮌ | ||
| 24,091,803× | 15 nodes | ⮎ VNFΙΒu → teOzkW → bN5ΤΒo → ΞeCΜkC → Βz5ΤPO → ΞdZolC → ΒF7ΡΚO → ΚuclUG → tQ8ΠyW → ΘYMΒqI → pfHΗja → pF3ΦΚa → ΣuEΚU8 → ΚvPyTG → tZRwpW ⮌ | ||
| 7,575,957× | 12 nodes | ⮎ JB7ΡΞΗ → ΚΓmbMG → tgAΞiW → ΔN1ΨΒM → Χhdkh4 → Σ6ααΣ8 → ΤΠαα87 → ΣΡ2Χ88 → ΥΚΘGF6 → ΞuqXUC → ΒQIΖyO → ndXqlc ⮌ | ||
| 770,309× | 4 nodes | ⮎ dHDΛΘm → xq8ΠYS → ΘVHΗtI → qoNΑaZ ⮌ | ||
| 7 | 1 cycle | 9,473,622,357× | (max) 8 nodes | ⮎ ΔhIαΖhM → ΗjLαΓfJ → ΖlMαΒdK → ΕjNαΑfL → ΔhKαΔhM → ΕhLαΓhL → ΔjKαΔfM → ΕhNαΑhL ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |