| 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 |
| 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 | 6,150× | (max) 50 nodes | ⮎ 0М → Л1 → Й3 → Е7 → χF → ηV → yΒ → 2К → З5 → БB → οN → Οl → Sκ → Εv → 8Д → υH → γZ → qΚ → Iτ → αb → mΞ → Qμ → Ιr → Gφ → εX → uΖ → AВ → ρL → Τh → aβ → oΜ → Mπ → Ρj → Wζ → wΔ → 6Ж → ωD → λR → Ηt → CА → νP → Λp → Kς → Φf → eΧ → gΥ → cΩ → kΠ → Uθ → Αz ⮌ |
| 1,230× | 10 nodes | ⮎ 4И → Г9 → σJ → Ψd → iΣ → Yδ → sΘ → Eψ → ιT → Γx ⮌ | ||
| 246× | 2 nodes | ⮎ Oξ → Νn ⮌ | ||
| 3 | 1 cycle | 325,376× | (fixed) (max) 1 node | ⮎ zМΑ ⮌ |
| 4 | 21 cycles | 650,549× | (max) 5 nodes | ⮎ C3ИБ → ЕξN8 → χΞlG → ηRκW → ΗxΒu ⮌ |
| 621,762× | (max) 5 nodes | ⮎ KBАσ → οΧdO → ΟhΣm → aRκγ → ΗpΚu ⮌ | ||
| 538,494× | (max) 5 nodes | ⮎ S3Иλ → ЕΖt8 → χBАG → οζVO → ΟxΒm ⮌ | ||
| 524,700× | (max) 5 nodes | ⮎ y3ИΓ → Е3И8 → ЕφF8 → χζVG → ηxΒW ⮌ | ||
| 521,538× | (max) 5 nodes | ⮎ iZβΤ → qZβΛ → qJςΛ → ΨJςe → ΨhΣe ⮌ | ||
| 521,442× | (max) 5 nodes | ⮎ a3Иγ → ЕpΚ8 → χJςG → ηΧdW → yhΣΓ ⮌ | ||
| 521,198× | (max) 5 nodes | ⮎ SBАλ → οΖtO → ΟBАm → οRκO → ΟΖtm ⮌ | ||
| 520,202× | (max) 5 nodes | ⮎ yRκΓ → Η3Иu → ЕBА8 → χξNG → ηΞlW ⮌ | ||
| 519,838× | (max) 5 nodes | ⮎ K3Иσ → ЕΧd8 → χhΣG → ηZβW → ypΚΓ ⮌ | ||
| 519,610× | (max) 5 nodes | ⮎ SJςλ → ΨΖte → iBАΤ → οZβO → ΟpΚm ⮌ | ||
| 515,784× | (max) 5 nodes | ⮎ iRκΤ → ΗZβu → qBАΛ → οJςO → ΨΞle ⮌ | ||
| 513,180× | (max) 5 nodes | ⮎ aJςγ → ΨpΚe → iJςΤ → ΨZβe → qhΣΛ ⮌ | ||
| 429,324× | (max) 5 nodes | ⮎ yJςΓ → Ψ3Иe → ЕhΣ8 → χZβG → ηpΚW ⮌ | ||
| 429,292× | (max) 5 nodes | ⮎ Ο3Иm → ЕRκ8 → χΖtG → ηBАW → οxΒO ⮌ | ||
| 427,420× | (max) 5 nodes | ⮎ qRκΛ → ΗJςu → ΨBАe → οhΣO → ΟZβm ⮌ | ||
| 427,388× | (max) 5 nodes | ⮎ ΗBАu → οBАO → οΞlO → ΟRκm → ΗRκu ⮌ | ||
| 427,356× | (max) 5 nodes | ⮎ i3ИΤ → ЕZβ8 → χpΚG → ηJςW → ΨxΒe ⮌ | ||
| 427,324× | (max) 5 nodes | ⮎ yBАΓ → ο3ИO → ЕΞl8 → χRκG → ηΖtW ⮌ | ||
| 427,260× | (max) 5 nodes | ⮎ η3ИW → ЕxΒ8 → χ3ИG → ЕζV8 → χxΒG ⮌ | ||
| 425,452× | (max) 5 nodes | ⮎ aBАγ → οpΚO → ΟJςm → ΨRκe → ΗhΣu ⮌ | ||
| 425,388× | (max) 5 nodes | ⮎ q3ИΛ → ЕJς8 → χΧdG → ηhΣW → yZβΓ ⮌ | ||
| 5 | 3 cycles | 176,214,782× | 3 nodes | ⮎ ΦdМΧg → ΨeМΦe → ΧhМΣf ⮌ |
| 88,335,996× | (max) 4 nodes | ⮎ ΦeМΦg → ΧdМΧf → ΨfМΥe → ΧgМΤf ⮌ | ||
| 15,498× | 2 nodes | ⮎ ΑyМΑΑ → ΑМММz ⮌ | ||
| 6 | 12 cycles | 2,512,065,306× | 104 nodes | ⮎ IC2ЙАυ → ЗξβZO6 → БΞpΚmC → οRJςλO → ΨΟΗsle → iTDψιΤ → λΔZβwS → Ηq6ЕΚu → ωJBАσE → ολΨcRO → ΟΘjΠsm → WSEχκη → ιΖxΒuU → ΓB3ИБy → Еπ3ИM8 → ЕχΡiF8 → χθXδUG → ηΒtΖyW → yC2ЙАΓ → Зξ3ИO6 → ЕБΝmB8 → χπPμMG → ηΣΚpiW → yZJςγΓ → Ψr3ИΙe → ЕiGυΣ8 → χεYγXG → ηvrΘΕW → yG8ГφΓ → υζ3ИWI → ЕγwΓZ8 → χr5ЖΙG → БηGυVC → οεyΑXO → Οv1КΕm → ЙS8Гκ4 → ЕυΕuH8 → χδ9ВYG → σηsΗVK → ΨzDψΑe → λi0ЛΣS → ЛΗYγt2 → ЙsCωΘ4 → ЕνEχP8 → χιΛoTG → ηΔLπwW → Τy6ЕΒi → ωa2ЙβE → ЗλoΛR6 → БΘLπsC → οΤEχhO → ιΟaαlU → ΓoSιΜy → ΕN3Иοw → ЕΠ7Дk8 → ψφUηGF → ιζzzWU → ΓwММΓy → ΔΑММyx → ΓΒ2Йyy → З42ЙИ6 → ЗДАB86 → БφξNGC → οζΞlWO → ΟxRκΓm → ΗS4Зκu → ГΖBАuA → σοAБNK → ρΨΟkdM → ΤjTθΡi → ΓaWεβy → wp3ИΛΕ → ЕL7Дρ8 → ψφΤgGF → ιζbΩWU → ΓxlΞΓy → S53ИЗλ → ЕВΖtA8 → χςBАKG → οηΦeVO → ΟzfΥΑm → eS0ЛκΨ → ЛΖhΣu2 → ЙaAБβ4 → ЕρoΛL8 → χΥLπgG → ηΤcΨhW → ykaαΠΓ → oV3ИηΝ → ЕzNξΑ8 → χΟ0ЛlG → ЛηSιV2 → ЙΕyΑv4 → Е91КГ8 → ЙχσIF4 → ЕθΩbU8 → χΒlΞyG → ηS2ЙκW → ЗΖxΒu6 → БB3ИБC → ЕπξNM8 → χΣΞliG → ηZRκγW → ΗyqΙΒu ⮌ |
| 2,202,117,156× | (max) 370 nodes | ⮎ 62ММЙЗ → КЖ1К63 → ЙЗωC54 → ЕВμPA8 → χςΚpKG → ηΧJςeW → ΨygΤΒe → ic2ЙΩΤ → ЗlZβΟ6 → БqSιΚC → οΕIσvO → αΟ8Гlc → υmSιΞI → γΕQλva → Ιq8ГΚs → υJFφσI → ηγΨcZW → yrjΠΙΓ → WH3Иυη → ЕδxΒY8 → χt3ИΗG → ЕηCωV8 → χνyΑPG → ηΜ1КoW → ЙyMοΒ4 → ЕΡ2Йj8 → ЗχWεF6 → БθvΔUC → οΒ7ДyO → χΟ2ЙlG → ЗηSιV6 → БΕyΑvC → ο91КГO → ЙτΞlI4 → ЕβRκa8 → χΗoΛtG → ηMCωπW → νΣxΒiQ → ΛZ3Иγq → ЕrJςΙ8 → χΨGυdG → ηεiΡXW → yvXδΕΓ → u93ИГΗ → ЕτBАI8 → χοαaNG → ηΠnΜkW → yVNξηΓ → Οz3ИΑm → ЕS0Лκ8 → ЛχΕuF2 → Йθ9ВU4 → ЕσΑyJ8 → χΩ1КcG → ЙηkΟV4 → ЕzTθΑ8 → χΓ0ЛxG → Лη4ЗV2 → ЙГyΑ94 → Еτ1КI8 → ЙχαaF4 → ЕθnΜU8 → χΒNξyG → ηΟ2ЙlW → ЗySιΒ6 → БΕ2ЙvC → Зο8ГN6 → БυΟkHC → οδTθYO → ΟΓsΗxm → SE4Зψλ → ГκΖtSA → σΖBАuK → οΨAБdO → ρΟiΡlM → ΤYSιδi → ΕtZβΗw → qD7ДωΛ → χμJςQG → ηΨΙqdW → yjHτΡΓ → γX3Иεa → ЕvpΚΕ8 → χK8ГςG → υηΦeVI → γzfΥΑa → qe0ЛΧΛ → ЛhJςΤ2 → ЙΨaαd4 → ЕoiΡΜ8 → χYMοδG → ηΡsΗjW → yXDψεΓ → λv3ИΕS → ЕΗ8Гt8 → χυCωHG → νηγYVQ → ΛzrΘΑq → KG0Лφσ → ЛζΧdW2 → ЙxhΣΓ4 → Еa4Зβ8 → ГχoΛFA → σθLπUK → ΨΤΑyhe → ib1КαΤ → ЙnZβΝ4 → ЕqOνΚ8 → χΝIσnG → ηαOνbW → ΝymΝΒo → QO2Йξν → ЗΞΚpm6 → БRJςλC → οΨΗsdO → ΟjDψΡm → λXRκεS → ΘΖuΕut → EB9ВБω → σπκRMK → ΨΣΖtie → iZBАγΤ → οrZβΙO → ΟqGυΚm → εSIσκY → αΖtΖuc → mCAБАΟ → ρξRκOM → ΤΞΖtmi → aRBАλγ → οΘpΚsO → ΟKEχςm → ιΧRκeU → ΗΓgΤxu → cC4ЗАα → ГξlΞOA → σΞRκmK → ΨΗQλte → ΙiCωΣs → νZFφγQ → ηΛqΙpW → yLHτρΓ → γΥ3Иga → ЕqcΨΚ8 → χkIσΠG → ηαUηbW → ΑymΝΒΑ → Q2ММЙν → КμLπQ3 → ЗΤΙqh6 → БbHταC → ογmΝZO → ΟrPμΙm → ΛSGυκq → εΖJςuY → ΨuAБΖe → ρiAБΣM → ρΤYγhM → ΤsaαΘi → oaEχβΝ → ιpNξΛU → ΟΓKρxm → ΦS4Зκg → ГΖdΧuA → σiAБΣK → ρΨYγdM → ΤsiΡΘi → aYEχδγ → ιtpΚΗU → ΓKCωςy → νΧ3ИeQ → ЕΛgΤp8 → χcKρΩG → ηΦkΟfW → yfTθΦΓ → Γf3ИΦy → Еf3ИΦ8 → ЕχeΦF8 → χθfΥUG → ηΒdΧyW → yi2ЙΣΓ → ЗZ3Иγ6 → ЕБqΙB8 → χπHτMG → ηγΡiZW → yrXδΙΓ → uH3ИυΗ → ЕδBАY8 → χοsΗNG → ηΠDψkW → λyUηΒS → ΗΑ2Йzu → ЗC0ЛА6 → ЛБνOB2 → ЙπΜnM4 → ЕΣNξi8 → χΟYγlG → ηsSιΘW → ΕyEχΒw → ι82ЙДU → ЗφΒxG6 → Бζ3ИWC → ЕοwΓN8 → χΠ5ЖkG → БηUηVC → οΑyΑzO → Ο20ЛКm → ЛИRκ42 → ЙДΖt84 → ЕφBАG8 → χοεWNG → ηΠvΔkW → yV7ДηΓ → χz3ИΑG → Еη0ЛV8 → ЛχyΑF2 → Йθ1КU4 → ЙЕΑy74 → Еψ1КE8 → ЙχιSF4 → ЕθΔvU8 → χΒ7ДyG → χη2ЙVG → ЗηyΑV6 → Бz1КΑC → Йο0ЛN4 → ЛЕΟk72 → ЙψTθE4 → ЕκΒxS8 → χΖ3ИuG → ЕηAБV8 → χρyΑLG → ηΥ1КgW → ЙycΨΒ4 → Еk2ЙΠ8 → ЗχUηF6 → БθzzUC → οΑММyO → ξΒbΩyP → Νm2ЙΞo → ЗRNξλ6 → БΟΗslC → οTDψιO → λΟΓwlS → ΗT5Жιu → БΔBАwC → πξ6ЕON → ωΡΝmjE → λXPμεS → ΛΗuΕtq → KD9Вωσ → σμΧdQK → ΨΚhΣqe → iaIσβΤ → αpZβΛc → qmKρΞΛ → ΦRJςλg → ΨΘdΧse → jhEχΤΣ → ιbXδαU → ΓumΝΖy → QB3ИБν → ЕπΚpM8 → χΣJςiG → ηΨYγdW → ysiΡΘΓ → YF3Иχε → ЕθtΖU8 → χΒBАyG → οη2ЙVO → ЗΟyΑl6 → БT1КιC → ЙοΓwN4 → ЕΠ5Жk8 → БχUηFC → οθzzUO → ΟΑММym → ΞΒDψyn → λQ2ЙμS → ЗΚΖtq6 → БJBАσC → πξΨcON → ΡΞjΠmk → XVQληζ → ΙzvΔΑs → G80ЛДχ → ЛφζVG2 → ЙζxΒW4 → Еx3ИΓ8 → Еχ4ЗF8 → ГχηUFA → σθzzUK → ΨΑММye → ΧΒLπyf → Τg2ЙΥi → ЗdZβΨ6 → БqiΡΚC → οYIσδO → αΟsΗlc → mTDψιΟ → λΔRκwS → ΘΖ6Еut → ωEAБψE → ρλιSRM → ΤΘΔvsi → aF7Дχγ → χθpΚUG → ηΒJςyW → Ψy2ЙΒe → Зi2ЙΣ6 → ЗБYγB6 → БπrΘMC → οΣFφiO → ηΟYγlW → ysSιΘΓ → ΕF3Иχw → Еθ7ДU8 → ψφΑyGF → ιζ1КWU → ЙΓwΓx4 → Е64ЗЖ8 → ГАφFCA → σξζVOK → ΨΞxΒme → iR3ИλΤ → ЕΘZβs8 → χqEχΚG → ιηIσVU → αΓyΑxc → m51КЗΟ → ЙВRκA4 → ЕςΖtK8 → χΧBАeG → οηgΤVO → ΟzbΩΑm → mS0ЛκΟ → ЛΖRκu2 → ЙΗAБt4 → ЕρCωL8 → χνΤgPG → ηΜbΩoW → ymMοΞΓ → ΡR3Иλk → ЕΘVζs8 → χyEχΒG → ιη2ЙVU → ЗΓyΑx6 → Б51КЗC → ЙВξNA4 → ЕςΞlK8 → χΧRκeG → ηΗgΤtW → ycCωΩΓ → νl3ИΟQ → ЕΛSιp8 → χΕKρvG → ηΦ8ГfW → υyeΦΒI → γg2ЙΥa → ЗqcΨΚ6 → БkIσΠC → οαUηbO → ΟΑmΝzm → SQ0Лμλ → ЛΚΖtq2 → ЙJBАσ4 → ЕοΨcN8 → χΠjΠkG → ηWUηζW → ΑywΓΒΑ ⮌ | ||
| 838,512,408× | 6 nodes | ⮎ eTDψιΨ → λΔhΣwS → Ηa6Еβu → ωpBАΛE → ολKρRO → ΦΟΗslg ⮌ | ||
| 102,753,995× | 16 nodes | ⮎ ηΘ1КsW → ЙyEχΒ4 → Еι2ЙT8 → ЗχΓwF6 → Бθ5ЖUC → БοΑyNC → οΠ1КkO → ЙΟUηl4 → ЕΑSιz8 → χΕ0ЛvG → Лη8ГV2 → ЙυyΑH4 → Еδ1КY8 → ЙχsΗF4 → ЕθDψU8 → χλΑyRG ⮌ | ||
| 16,976,664× | 32 nodes | ⮎ χr1КΙG → ЙηGυV4 → ЕεyΑX8 → χv1КΕG → Йη8ГV4 → ЕυyΑH8 → χδ1КYG → ЙηsΗV4 → ЕzDψΑ8 → χλ0ЛRG → ЛηΗsV2 → ЙzDψΑ4 → Еλ0ЛR8 → ЛχΗsF2 → ЙθDψU4 → ЕλΑyR8 → χΘ1КsG → ЙηEχV4 → ЕιyΑT8 → χΔ1КwG → Йη6ЕV4 → ЕωyΑD8 → χμ1КQG → ЙηΙqV4 → ЕzHτΑ8 → χγ0ЛZG → ЛηqΙV2 → ЙzHτΑ4 → Еγ0ЛZ8 → ЛχqΙF2 → ЙθHτU4 → ЕγΑyZ8 ⮌ | ||
| 3,938,020× | 6 nodes | ⮎ οT1КιO → ЙΟΓwl4 → ЕT5Жι8 → БχΓwFC → οθ5ЖUO → БΟΑylC ⮌ | ||
| 3,351,658× | 10 nodes | ⮎ mc4ЗΩΟ → ГlRκΟA → σΗSιtK → ΨΕCωve → νi8ГΣQ → υΛYγpI → γsKρΘa → ΦqEχΚg → ιeIσΧU → αΓgΤxc ⮌ | ||
| 3,350,332× | 2 nodes | ⮎ οT5ЖιO → БΟΓwlC ⮌ | ||
| 2,219,633× | 2 nodes | ⮎ eaKρβΨ → ΦphΣΛg ⮌ | ||
| 2,218,152× | 6 nodes | ⮎ οθ1КUO → ЙΟΑyl4 → ЕT1Кι8 → ЙχΓwF4 → Еθ5ЖU8 → БχΑyFC ⮌ | ||
| 670,246× | 2 nodes | ⮎ Еθ1КU8 → ЙχΑyF4 ⮌ | ||
| 3,906× | (fixed) 1 node | ⮎ ΑzММzΑ ⮌ | ||
| 7+ | - | - | - | Not showing digit sets 7+ due to verbosity. |