| 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 | 3,008× | (fixed) (max) 1 node | ⮎ VΒ ⮌ |
| 3 | 1 cycle | 147,345× | (max) 2 nodes | ⮎ kιm → lιl ⮌ |
| 4 | 35 cycles | 128,069× | (max) 36 nodes | ⮎ LGΠΝ → zqfY → RAΧΗ → ΜerM → pCΥi → Θ6βQ → ΥgpE → Ζ8ΩS → ΠctI → xGΠa → zMΚY → nQΖk → f2ζs → δCΥ6 → ΧΗPC → ΚgpO → l8Ωm → Π0θI → θwZ2 → ζMΚ4 → βmj8 → Σ2ζG → δΑV6 → ΧUΒC → ΚWzO → lSΔm → b0θw → θKΜ2 → ζqf4 → βAΧ8 → ΣΛLG → ΒohW → V6βΓ → ΥWzE → ΖSΔS → davu ⮌ |
| 125,633× | (max) 36 nodes | ⮎ NEΣΛ → ΔmjU → Z2ζy → δOΘ6 → ΧinC → Κ4δO → ΩklA → Ξ0θK → θsd2 → ζEΣ4 → βΓT8 → ΣYxG → ΒOΘW → jUΒo → X4δΑ → ΩSΔA → ΞavK → tKΜe → rEΣg → ΔAΧU → ΜYxM → pOΘi → j6βo → Υ4δE → ΩΕRA → ΞctK → tGΠe → zEΣY → ΔQΖU → fYxs → PCΥΙ → ΘinQ → h4δq → Ω8ΩA → ΠΝJI → xsda ⮌ | ||
| 122,134× | (max) 36 nodes | ⮎ FCΥΤ → ΘΓTQ → hYxq → P8ΩΙ → ΠinI → x4δa → ΩMΚA → ΞmjK → t2ζe → δEΣ6 → ΧΓTC → ΚYxO → lOΘm → j0θo → θ4δ2 → ζΨ94 → βΝJ8 → ΣsdG → ΒEΣW → ΔUΒU → ZWzy → TOΘΕ → javo → L4δΝ → ΩqfA → ΞAΧK → ΜsdM → pEΣi → Δ6βU → ΥYxE → ΖOΘS → jcto → H4δΡ → ΩyXA → ΞQΖK → tere ⮌ | ||
| 121,946× | (max) 36 nodes | ⮎ 74δγ → ΩΤDA → ΞΕRK → tcte → HEΣΡ → ΔyXU → ZQΖy → fOΘs → jCΥo → Θ4δQ → ΩgpA → Ξ8ΩK → ΠsdI → xEΣa → ΔMΚU → nYxk → P2ζΙ → δin6 → Χ4δC → ΩΙNA → ΞklK → t0θe → θEΣ2 → ζΓT4 → βYx8 → ΣOΘG → ΒinW → V4δΓ → ΩWzA → ΞSΔK → tave → LEΣΝ → ΔqfU → ZAΧy → ΜOΘM → pini ⮌ | ||
| 121,934× | (max) 36 nodes | ⮎ 52ζε → δΨ96 → ΧΝJC → ΚsdO → lEΣm → Δ0θU → θYx2 → ζOΘ4 → βin8 → Σ4δG → ΩΑVA → ΞUΒK → tWze → TEΣΕ → ΔavU → ZKΜy → rOΘg → jAΧo → Μ4δM → ΩohA → Ξ6βK → ΥsdE → ΖEΣS → ΔctU → ZGΠy → zOΘY → jQΖo → f4δs → ΩCΥA → ΞΗPK → tgpe → F8ΩΤ → ΠΓTI → xYxa → PMΚΙ → nink ⮌ | ||
| 121,862× | (max) 36 nodes | ⮎ 96βα → ΥΟHE → ΖwZS → dMΚu → nGΠk → z2ζY → δQΖ6 → ΧerC → ΚCΥO → ΘklQ → h0θq → θ8Ω2 → ζΟH4 → βwZ8 → ΣMΚG → ΒmjW → V2ζΓ → δWz6 → ΧSΔC → ΚavO → lKΜm → r0θg → θAΧ2 → ζΛL4 → βoh8 → Σ6βG → ΥΑVE → ΖUΒS → dWzu → TGΠΕ → zavY → RKΜΗ → rerg → DAΧΦ → ΜΗPM → pgpi ⮌ | ||
| 121,310× | (max) 36 nodes | ⮎ J2ζΟ → δub6 → ΧIΞC → ΚubO → lIΞm → v0θc → θIΞ2 → ζub4 → βIΞ8 → ΣubG → ΒIΞW → vUΒc → XIΞΑ → vSΔc → bIΞw → vKΜc → rIΞg → vAΧc → ΜIΞM → vohc → J6βΟ → ΥubE → ΖIΞS → vctc → JGΠΟ → zubY → RIΞΗ → verc → JCΥΟ → ΘubQ → hIΞq → v8Ωc → ΠIΞI → xuba → NIΞΛ → vmjc ⮌ | ||
| 121,202× | (max) 36 nodes | ⮎ 30θη → θγ52 → ζΦB4 → βΙN8 → ΣklG → Β0θW → θUΒ2 → ζWz4 → βSΔ8 → ΣavG → ΒKΜW → rUΒg → XAΧΑ → ΜSΔM → pavi → L6βΝ → ΥqfE → ΖAΧS → ΜctM → pGΠi → z6βY → ΥQΖE → ΖerS → dCΥu → ΘGΠQ → zgpY → R8ΩΗ → ΠerI → xCΥa → ΘMΚQ → ngpk → 92ζα → δΟH6 → ΧwZC → ΚMΚO → nklk ⮌ | ||
| 121,154× | (max) 36 nodes | ⮎ B6βΨ → ΥΛLE → ΖohS → d6βu → ΥGΠE → ΖyXS → dQΖu → fGΠs → zCΥY → ΘQΖQ → herq → D8ΩΦ → ΠΗPI → xgpa → N8ΩΛ → ΠmjI → x2ζa → δMΚ6 → ΧmjC → Κ2ζO → δkl6 → Χ0θC → θΙN2 → ζkl4 → β0θ8 → θΡF2 → ζΑV4 → βUΒ8 → ΣWzG → ΒSΔW → bUΒw → XKΜΑ → rSΔg → bAΧw → ΜKΜM → rohg ⮌ | ||
| 121,034× | (max) 36 nodes | ⮎ 94δα → ΩΟHA → ΞwZK → tMΚe → nEΣk → Δ2ζU → δYx6 → ΧOΘC → ΚinO → l4δm → Ω0θA → θΝJ2 → ζsd4 → βEΣ8 → ΣΓTG → ΒYxW → VOΘΓ → jWzo → T4δΕ → ΩavA → ΞKΜK → tqfe → FAΧΤ → ΜΓTM → pYxi → P6βΙ → ΥinE → Ζ4δS → ΩctA → ΞGΠK → zsdY → REΣΗ → ΔerU → ZCΥy → ΘOΘQ → jgpo ⮌ | ||
| 120,593× | (max) 36 nodes | ⮎ J0θΟ → θub2 → ζIΞ4 → βub8 → ΣIΞG → ΒubW → VIΞΓ → vWzc → TIΞΕ → vavc → LIΞΝ → vqfc → JAΧΟ → ΜubM → pIΞi → v6βc → ΥIΞE → ΖubS → dIΞu → vGΠc → zIΞY → vQΖc → fIΞs → vCΥc → ΘIΞQ → vgpc → J8ΩΟ → ΠubI → xIΞa → vMΚc → nIΞk → v2ζc → δIΞ6 → ΧubC → ΚIΞO → vklc ⮌ | ||
| 120,426× | (max) 36 nodes | ⮎ B4δΨ → ΩΛLA → ΞohK → t6βe → ΥEΣE → ΖΓTS → dYxu → PGΠΙ → zinY → R4δΗ → ΩerA → ΞCΥK → ΘsdQ → hEΣq → Δ8ΩU → ΠYxI → xOΘa → jMΚo → n4δk → Ω2ζA → δΝJ6 → ΧsdC → ΚEΣO → ΔklU → Z0θy → θOΘ2 → ζin4 → β4δ8 → ΩΡFA → ΞΑVK → tUΒe → XEΣΑ → ΔSΔU → bYxw → PKΜΙ → ring ⮌ | ||
| 120,333× | (max) 36 nodes | ⮎ LAΧΝ → ΜqfM → pAΧi → Μ6βM → ΥohE → Ζ6βS → ΥctE → ΖGΠS → zctY → RGΠΗ → zerY → RCΥΗ → ΘerQ → hCΥq → Θ8ΩQ → ΠgpI → x8Ωa → ΠMΚI → xmja → N2ζΛ → δmj6 → Χ2ζC → δΙN6 → ΧklC → Κ0θO → θkl2 → ζ0θ4 → θα72 → ζΡF4 → βΑV8 → ΣUΒG → ΒWzW → VSΔΓ → bWzw → TKΜΕ → ravg ⮌ | ||
| 120,254× | (max) 36 nodes | ⮎ XSΔΑ → bSΔw → bKΜw → rKΜg → rAΧg → ΜAΧM → ΜohM → p6βi → Υ6βE → ΥΕRE → ΖctS → dGΠu → zGΠY → zQΖY → fQΖs → fCΥs → ΘCΥQ → ΘgpQ → h8Ωq → Π8ΩI → ΠwZI → xMΚa → nMΚk → n2ζk → δ2ζ6 → δΦB6 → ΧΙNC → ΚklO → l0θm → θ0θ2 → θε32 → ζα74 → βΡF8 → ΣΑVG → ΒUΒW → XUΒΑ ⮌ | ||
| 120,250× | (max) 36 nodes | ⮎ 50θε → θΨ92 → ζΝJ4 → βsd8 → ΣEΣG → ΔΑVU → ZUΒy → XOΘΑ → jSΔo → b4δw → ΩKΜA → ΞqfK → tAΧe → ΜEΣM → ΔohU → Z6βy → ΥOΘE → ΖinS → d4δu → ΩGΠA → ΞyXK → tQΖe → fEΣs → ΔCΥU → ΘYxQ → hOΘq → j8Ωo → Π4δI → ΩwZA → ΞMΚK → tmje → F2ζΤ → δΓT6 → ΧYxC → ΚOΘO → linm ⮌ | ||
| 120,173× | (max) 36 nodes | ⮎ B8ΩΨ → ΠΛLI → xoha → N6βΛ → ΥmjE → Ζ2ζS → δct6 → ΧGΠC → ΚyXO → lQΖm → f0θs → θCΥ2 → ζΗP4 → βgp8 → Σ8ΩG → ΠΑVI → xUΒa → XMΚΑ → nSΔk → b2ζw → δKΜ6 → ΧqfC → ΚAΧO → ΜklM → p0θi → θ6β2 → ζΤD4 → βΕR8 → ΣctG → ΒGΠW → zUΒY → XQΖΑ → fSΔs → bCΥw → ΘKΜQ → rgpg ⮌ | ||
| 120,113× | (max) 36 nodes | ⮎ H6βΡ → ΥyXE → ΖQΖS → fcts → HCΥΡ → ΘyXQ → hQΖq → f8Ωs → ΠCΥI → ΘwZQ → hMΚq → n8Ωk → Π2ζI → δwZ6 → ΧMΚC → ΚmjO → l2ζm → δ0θ6 → θΦB2 → ζΙN4 → βkl8 → Σ0θG → θΑV2 → ζUΒ4 → βWz8 → ΣSΔG → ΒavW → VKΜΓ → rWzg → TAΧΕ → ΜavM → pKΜi → r6βg → ΥAΧE → ΜΕRM → pcti ⮌ | ||
| 119,693× | (max) 36 nodes | ⮎ 72ζγ → δΤD6 → ΧΕRC → ΚctO → lGΠm → z0θY → θQΖ2 → ζer4 → βCΥ8 → ΣΗPG → ΒgpW → V8ΩΓ → ΠWzI → xSΔa → bMΚw → nKΜk → r2ζg → δAΧ6 → ΧΛLC → ΚohO → l6βm → Υ0θE → θΕR2 → ζct4 → βGΠ8 → ΣyXG → ΒQΖW → fUΒs → XCΥΑ → ΘSΔQ → havq → L8ΩΝ → ΠqfI → xAΧa → ΜMΚM → pmji ⮌ | ||
| 119,330× | (max) 36 nodes | ⮎ D0θΦ → θΗP2 → ζgp4 → β8Ω8 → ΣΟHG → ΒwZW → VMΚΓ → nWzk → T2ζΕ → δav6 → ΧKΜC → ΚqfO → lAΧm → Μ0θM → θoh2 → ζ6β4 → βΤD8 → ΣΕRG → ΒctW → VGΠΓ → zWzY → TQΖΕ → favs → LCΥΝ → ΘqfQ → hAΧq → Μ8ΩM → ΠohI → x6βa → ΥMΚE → ΖmjS → d2ζu → δGΠ6 → ΧyXC → ΚQΖO → lerm ⮌ | ||
| 119,073× | (max) 36 nodes | ⮎ D2ζΦ → δΗP6 → ΧgpC → Κ8ΩO → ΠklI → x0θa → θMΚ2 → ζmj4 → β2ζ8 → δΡF6 → ΧΑVC → ΚUΒO → lWzm → T0θΕ → θav2 → ζKΜ4 → βqf8 → ΣAΧG → ΜΑVM → pUΒi → X6βΑ → ΥSΔE → ΖavS → dKΜu → rGΠg → zAΧY → ΜQΖM → peri → D6βΦ → ΥΗPE → ΖgpS → d8Ωu → ΠGΠI → zwZY → RMΚΗ → nerk ⮌ | ||
| 118,894× | (max) 36 nodes | ⮎ B2ζΨ → δΛL6 → ΧohC → Κ6βO → ΥklE → Ζ0θS → θct2 → ζGΠ4 → βyX8 → ΣQΖG → ΒerW → VCΥΓ → ΘWzQ → hSΔq → b8Ωw → ΠKΜI → xqfa → NAΧΛ → ΜmjM → p2ζi → δ6β6 → ΧΤDC → ΚΕRO → lctm → H0θΡ → θyX2 → ζQΖ4 → βer8 → ΣCΥG → ΘΑVQ → hUΒq → X8ΩΑ → ΠSΔI → xava → NKΜΛ → rmjg ⮌ | ||
| 118,730× | (max) 36 nodes | ⮎ D4δΦ → ΩΗPA → ΞgpK → t8Ωe → ΠEΣI → ΔwZU → ZMΚy → nOΘk → j2ζo → δ4δ6 → ΩΦBA → ΞΙNK → tkle → F0θΤ → θΓT2 → ζYx4 → βOΘ8 → ΣinG → Β4δW → ΩUΒA → ΞWzK → tSΔe → bEΣw → ΔKΜU → rYxg → PAΧΙ → ΜinM → p4δi → Ω6βA → ΥΝJE → ΖsdS → dEΣu → ΔGΠU → zYxY → ROΘΗ → jero ⮌ | ||
| 118,514× | (max) 36 nodes | ⮎ 70θγ → θΤD2 → ζΕR4 → βct8 → ΣGΠG → ΒyXW → VQΖΓ → fWzs → TCΥΕ → ΘavQ → hKΜq → r8Ωg → ΠAΧI → ΜwZM → pMΚi → n6βk → Υ2ζE → δΕR6 → ΧctC → ΚGΠO → zklY → R0θΗ → θer2 → ζCΥ4 → βΗP8 → ΣgpG → Β8ΩW → ΠUΒI → xWza → TMΚΕ → navk → L2ζΝ → δqf6 → ΧAΧC → ΜΙNM → pkli ⮌ | ||
| 118,253× | (max) 36 nodes | ⮎ 90θα → θΟH2 → ζwZ4 → βMΚ8 → ΣmjG → Β2ζW → δUΒ6 → ΧWzC → ΚSΔO → lavm → L0θΝ → θqf2 → ζAΧ4 → βΛL8 → ΣohG → Β6βW → ΥUΒE → ΖWzS → dSΔu → bGΠw → zKΜY → rQΖg → fAΧs → ΜCΥM → ΘohQ → h6βq → Υ8ΩE → ΠΕRI → xcta → NGΠΛ → zmjY → R2ζΗ → δer6 → ΧCΥC → ΚΗPO → lgpm ⮌ | ||
| 117,233× | (max) 36 nodes | ⮎ B0θΨ → θΛL2 → ζoh4 → β6β8 → ΥΡFE → ΖΑVS → dUΒu → XGΠΑ → zSΔY → bQΖw → fKΜs → rCΥg → ΘAΧQ → ΜgpM → p8Ωi → Π6βI → ΥwZE → ΖMΚS → nctk → H2ζΡ → δyX6 → ΧQΖC → ΚerO → lCΥm → Θ0θQ → θgp2 → ζ8Ω4 → βΟH8 → ΣwZG → ΒMΚW → nUΒk → X2ζΑ → δSΔ6 → ΧavC → ΚKΜO → rklg ⮌ | ||
| 116,230× | (max) 36 nodes | ⮎ H8ΩΡ → ΠyXI → xQΖa → fMΚs → nCΥk → Θ2ζQ → δgp6 → Χ8ΩC → ΠΙNI → xkla → N0θΛ → θmj2 → ζ2ζ4 → δα76 → ΧΡFC → ΚΑVO → lUΒm → X0θΑ → θSΔ2 → ζav4 → βKΜ8 → ΣqfG → ΒAΧW → ΜUΒM → pWzi → T6βΕ → ΥavE → ΖKΜS → rctg → HAΧΡ → ΜyXM → pQΖi → f6βs → ΥCΥE → ΘΕRQ → hctq ⮌ | ||
| 116,013× | (max) 36 nodes | ⮎ NCΥΛ → ΘmjQ → h2ζq → δ8Ω6 → ΧΟHC → ΚwZO → lMΚm → n0θk → θ2ζ2 → ζγ54 → βΦB8 → ΣΙNG → ΒklW → V0θΓ → θWz2 → ζSΔ4 → βav8 → ΣKΜG → ΒqfW → VAΧΓ → ΜWzM → pSΔi → b6βw → ΥKΜE → ΖqfS → dAΧu → ΜGΠM → zohY → R6βΗ → ΥerE → ΖCΥS → ΘctQ → hGΠq → z8ΩY → ΠQΖI → xera ⮌ | ||
| 115,990× | (max) 36 nodes | ⮎ F6βΤ → ΥΓTE → ΖYxS → dOΘu → jGΠo → z4δY → ΩQΖA → ΞerK → tCΥe → ΘEΣQ → ΔgpU → Z8Ωy → ΠOΘI → xina → N4δΛ → ΩmjA → Ξ2ζK → δsd6 → ΧEΣC → ΚΓTO → lYxm → P0θΙ → θin2 → ζ4δ4 → βΨ98 → ΣΝJG → ΒsdW → VEΣΓ → ΔWzU → ZSΔy → bOΘw → jKΜo → r4δg → ΩAΧA → ΞΛLK → tohe ⮌ | ||
| 63,186× | 18 nodes | ⮎ T8ΩΕ → ΠavI → xKΜa → rMΚg → nAΧk → Μ2ζM → δoh6 → Χ6βC → ΥΙNE → ΖklS → d0θu → θGΠ2 → ζyX4 → βQΖ8 → ΣerG → ΒCΥW → ΘUΒQ → hWzq ⮌ | ||
| 60,263× | 18 nodes | ⮎ J4δΟ → ΩubA → ΞIΞK → vsdc → JEΣΟ → ΔubU → ZIΞy → vOΘc → jIΞo → v4δc → ΩIΞA → ΞubK → tIΞe → vEΣc → ΔIΞU → vYxc → PIΞΙ → vinc ⮌ | ||
| 29,655× | 9 nodes | ⮎ ZOΘy → jOΘo → j4δo → Ω4δA → ΩΝJA → ΞsdK → tEΣe → ΔEΣU → ΔYxU ⮌ | ||
| 29,655× | 9 nodes | ⮎ F4δΤ → ΩΓTA → ΞYxK → tOΘe → jEΣo → Δ4δU → ΩYxA → ΞOΘK → tine ⮌ | ||
| 29,655× | 9 nodes | ⮎ P4δΙ → ΩinA → Ξ4δK → ΩsdA → ΞEΣK → ΔsdU → ZEΣy → ΔOΘU → jYxo ⮌ | ||
| 29,655× | 9 nodes | ⮎ PEΣΙ → ΔinU → Z4δy → ΩOΘA → ΞinK → t4δe → ΩEΣA → ΞΓTK → tYxe ⮌ | ||
| 3,743× | (fixed) 1 node | ⮎ vIΞc ⮌ | ||
| 5 | 1 cycle | 71,523,049× | (max) 4 nodes | ⮎ ΒUιΒW → ΓUιΒV → ΓWιzV → ΒVιΑW ⮌ |
| 6 | 2 cycles | 1,191,820,123× | (max) 40 nodes | ⮎ JE0θΤΟ → θΕubS2 → ζcIΞu4 → βvHΟb8 → ΣxJΝZG → ΒtNΙdW → lVFΡΒm → ΒW0θΑW → θVTΓΒ2 → ζZVΑx4 → βVNΙΒ8 → ΣlVΑlG → ΒUιιΒW → ΓzιιWV → ΒΑ2ζWW → δVTΓΒ6 → ΧZVΑxC → ΚVNΙΒO → mkVΑml → V20θηΓ → θεWz42 → ζαSΔ84 → βΡavG8 → ΣΑKΜWG → ΒrTΓfW → ZVBΦΒy → ΚWOΘΑO → ljTΓnm → Z40θεy → θαOΘ82 → ζΡinG4 → βΑ4δW8 → ΩΣTΓFA → ΞΓYxUK → tYOΘye → jQEΣΗo → Δg4δqU → ΩZ9ΨxA → ΟΝNΙKJ → vsklec ⮌ |
| 232,182× | 3 nodes | ⮎ ta4δwe → ΩMEΣΛA → ΞΔniTK ⮌ | ||
| 7 | 1 cycle | 17,199,613,105× | (max) 8 nodes | ⮎ ΚlKιΜlO → ΝnNιΙjL → ΜpOιΘhM → ΛnPιΗjN → ΚlMιΚlO → ΛlNιΙlN → ΚnMιΚjO → ΛlPιΗlN ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |