| 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 | 2,496× | (max) 2 nodes | ⮎ FΒ → lV ⮌ |
| 3 | 1 cycle | 85,241× | (max) 2 nodes | ⮎ cΡe → dΡd ⮌ |
| 4 | 19 cycles | 93,627× | (max) 39 nodes | ⮎ B2ΞΗ → ΜuL6 → ΖYhC → t8ΘO → zUlI → hGza → j6ΚY → ΔAΖE → voRM → ZMti → X8Θk → zCΔI → rgZQ → R6Κq → ΔOrE → pSnS → NKvu → bWjg → D4ΜΕ → ΘqPA → xQpK → dOre → T0Πo → ΠKv2 → Ξaf4 → Κ4Μ8 → ΘΑFA → xkVK → dEΒe → n0ΠU → ΠIx2 → Ξeb4 → Κ2Ξ8 → ΜΑF6 → ΖkVC → tEΒO → nUlU → JGzy → jebY ⮌ |
| 93,391× | (max) 39 nodes | ⮎ 96ΚΙ → ΔyHE → pgZS → N6Κu → ΔWjE → pCΔS → rMtQ → XQpk → PCΔs → rSnQ → RKvq → bOrg → T4Μo → ΘKvA → xafK → d4Μe → Θ0ΠA → ΠwJ2 → Ξcd4 → Κ0Π8 → ΠΑF2 → ΞkV4 → ΚEΒ8 → ΒmTG → lIxW → fEΒc → n2ΞU → ΜIx6 → ΖebC → t2ΞO → ΜUl6 → ΖGzC → tiXO → VAΖm → vGzM → jYhY → B8ΘΗ → zuLI → hYha ⮌ | ||
| 93,379× | (max) 39 nodes | ⮎ 52ΞΝ → ΜΗ96 → ΖwJC → tcdO → V0Πm → ΠGz2 → ΞiX4 → ΚAΖ8 → ΒuLG → lYhW → F8ΘΓ → zmTI → hIxa → f6Κc → Δ2ΞE → ΜoR6 → ΖMtC → tWjO → VCΔm → rGzQ → jQpY → PAΖs → vSnM → ZKvi → b8Θg → z4ΜI → ΘgZA → x6ΚK → ΔcdE → p0ΠS → ΠMt2 → ΞWj4 → ΚCΔ8 → ΒqPG → lQpW → PEΒs → nSnU → LIxw → fafc ⮌ | ||
| 93,007× | (max) 39 nodes | ⮎ 72ΞΛ → ΜΓD6 → ΖoRC → tMtO → XUlk → HCΔΑ → riXQ → RAΖq → vOrM → ZSni → L8Θw → zafI → h4Μa → Θ6ΚA → ΔwJE → pcdS → N0Πu → ΠWj2 → ΞCΔ4 → ΚqP8 → ΒQpG → lOrW → TEΒo → nKvU → bIxg → f4Μc → Θ2ΞA → ΜwJ6 → ΖcdC → t0ΠO → ΠUl2 → ΞGz4 → ΚiX8 → ΒAΖG → vkVM → ZEΒi → n8ΘU → zIxI → heba ⮌ | ||
| 92,911× | (max) 39 nodes | ⮎ 30ΠΟ → ΠΛ52 → ΞΕB4 → ΚsN8 → ΒUlG → lGzW → jEΒY → nAΖU → vIxM → fYhc → 92ΞΙ → ΜyH6 → ΖgZC → t6ΚO → ΔUlE → pGzS → jMtY → XAΖk → vCΔM → rYhQ → R8Θq → zOrI → hSna → L6Κw → ΔafE → p4ΜS → ΘMtA → xWjK → dCΔe → r0ΠQ → ΠQp2 → ΞOr4 → ΚSn8 → ΒKvG → lafW → F4ΜΓ → ΘmTA → xIxK → fcdc ⮌ | ||
| 92,895× | (max) 39 nodes | ⮎ D0ΠΕ → ΠqP2 → ΞQp4 → ΚOr8 → ΒSnG → lKvW → bEΒg → n4ΜU → ΘIxA → xebK → d2Ξe → Μ0Π6 → ΠΕB2 → ΞsN4 → ΚUl8 → ΒGzG → liXW → FAΖΓ → vmTM → ZIxi → f8Θc → z2ΞI → ΜgZ6 → Ζ6ΚC → ΔsNE → pUlS → NGzu → jWjY → DAΖΕ → vqPM → ZQpi → P8Θs → zSnI → hKva → b6Κg → Δ4ΜE → ΘoRA → xMtK → dWje ⮌ | ||
| 92,787× | (max) 39 nodes | ⮎ HAΖΑ → viXM → ZAΖi → v8ΘM → zYhI → h8Θa → z6ΚI → ΔgZE → p6ΚS → ΔMtE → pWjS → NCΔu → rWjQ → RCΔq → rOrQ → TQpo → PKvs → bSng → L4Μw → ΘafA → x4ΜK → ΘcdA → x0ΠK → Πcd2 → Ξ0Π4 → ΠΙ72 → ΞΑF4 → ΚkV8 → ΒEΒG → nkVU → JEΒy → nebU → J2Ξy → Μeb6 → Ζ2ΞC → ΜsN6 → ΖUlC → tGzO → jUlY ⮌ | ||
| 92,635× | (max) 39 nodes | ⮎ B4ΜΗ → ΘuLA → xYhK → d8Θe → z0ΠI → ΠgZ2 → Ξ6Κ4 → ΚΓD8 → ΒoRG → lMtW → XEΒk → nCΔU → rIxQ → fQpc → P2Ξs → ΜSn6 → ΖKvC → tafO → V4Μm → ΘGzA → xiXK → dAΖe → v0ΠM → ΠYh2 → Ξ8Θ4 → ΚyH8 → ΒgZG → l6ΚW → ΔEΒE → pmTS → NIxu → fWjc → D2ΞΕ → ΜqP6 → ΖQpC → tOrO → VSnm → LGzw → jafY ⮌ | ||
| 92,375× | (max) 39 nodes | ⮎ ROrq → TOro → TKvo → bKvg → b4Μg → Θ4ΜA → ΘwJA → xcdK → d0Πe → Π0Π2 → ΠΝ32 → ΞΙ74 → ΚΑF8 → ΒkVG → lEΒW → nEΒU → nIxU → fIxc → f2Ξc → Μ2Ξ6 → ΜΕB6 → ΖsNC → tUlO → VGzm → jGzY → jAΖY → vAΖM → vYhM → Z8Θi → z8ΘI → zgZI → h6Κa → Δ6ΚE → ΔoRE → pMtS → XMtk → XCΔk → rCΔQ → rQpQ ⮌ | ||
| 92,323× | (max) 39 nodes | ⮎ D6ΚΕ → ΔqPE → pQpS → PMts → XSnk → LCΔw → rafQ → R4Μq → ΘOrA → xSnK → dKve → b0Πg → Π4Μ2 → ΞΗ94 → ΚwJ8 → ΒcdG → l0ΠW → ΠEΒ2 → ΞmT4 → ΚIx8 → ΒebG → l2ΞW → ΜEΒ6 → ΖmTC → tIxO → fUlc → H2ΞΑ → ΜiX6 → ΖAΖC → vsNM → ZUli → H8ΘΑ → ziXI → hAΖa → v6ΚM → ΔYhE → p8ΘS → zMtI → hWja ⮌ | ||
| 92,287× | (max) 39 nodes | ⮎ 50ΠΝ → ΠΗ92 → ΞwJ4 → Κcd8 → Β0ΠG → ΠkV2 → ΞEΒ4 → ΚmT8 → ΒIxG → lebW → F2ΞΓ → ΜmT6 → ΖIxC → tebO → V2Ξm → ΜGz6 → ΖiXC → tAΖO → vUlM → ZGzi → j8ΘY → zAΖI → vgZM → Z6Κi → Δ8ΘE → zoRI → hMta → X6Κk → ΔCΔE → roRQ → RMtq → XOrk → TCΔo → rKvQ → bQpg → P4Μs → ΘSnA → xKvK → dafe ⮌ | ||
| 91,835× | (max) 39 nodes | ⮎ B0ΠΗ → ΠuL2 → ΞYh4 → Κ8Θ8 → ΒyHG → lgZW → F6ΚΓ → ΔmTE → pIxS → fMtc → X2Ξk → ΜCΔ6 → ΖqPC → tQpO → VOrm → TGzo → jKvY → bAΖg → v4ΜM → ΘYhA → x8ΘK → zcdI → h0Πa → Π6Κ2 → ΞΓD4 → ΚoR8 → ΒMtG → lWjW → FCΔΓ → rmTQ → RIxq → fOrc → T2Ξo → ΜKv6 → ΖafC → t4ΜO → ΘUlA → xGzK → jcdY ⮌ | ||
| 91,323× | (max) 39 nodes | ⮎ 74ΜΛ → ΘΓDA → xoRK → dMte → X0Πk → ΠCΔ2 → ΞqP4 → ΚQp8 → ΒOrG → lSnW → LEΒw → nafU → J4Μy → ΘebA → x2ΞK → Μcd6 → Ζ0ΠC → ΠsN2 → ΞUl4 → ΚGz8 → ΒiXG → lAΖW → vEΒM → nYhU → J8Θy → zebI → h2Ξa → Μ6Κ6 → ΖΓDC → toRO → VMtm → XGzk → jCΔY → rAΖQ → vQpM → ZOri → T8Θo → zKvI → hafa ⮌ | ||
| 91,075× | (max) 39 nodes | ⮎ 94ΜΙ → ΘyHA → xgZK → d6Κe → Δ0ΠE → ΠoR2 → ΞMt4 → ΚWj8 → ΒCΔG → rkVQ → REΒq → nOrU → TIxo → fKvc → b2Ξg → Μ4Μ6 → ΘΕBA → xsNK → dUle → H0ΠΑ → ΠiX2 → ΞAΖ4 → ΚuL8 → ΒYhG → l8ΘW → zEΒI → ngZU → J6Κy → ΔebE → p2ΞS → ΜMt6 → ΖWjC → tCΔO → rUlQ → RGzq → jOrY → TAΖo → vKvM → bYhg ⮌ | ||
| 90,879× | (max) 39 nodes | ⮎ 70ΠΛ → ΠΓD2 → ΞoR4 → ΚMt8 → ΒWjG → lCΔW → rEΒQ → nQpU → PIxs → fSnc → L2Ξw → Μaf6 → Ζ4ΜC → ΘsNA → xUlK → dGze → j0ΠY → ΠAΖ2 → ΞuL4 → ΚYh8 → Β8ΘG → zkVI → hEΒa → n6ΚU → ΔIxE → pebS → N2Ξu → ΜWj6 → ΖCΔC → tqPO → VQpm → PGzs → jSnY → LAΖw → vafM → Z4Μi → Θ8ΘA → zwJI → hcda ⮌ | ||
| 90,735× | (max) 39 nodes | ⮎ D8ΘΕ → zqPI → hQpa → P6Κs → ΔSnE → pKvS → bMtg → X4Μk → ΘCΔA → xqPK → dQpe → P0Πs → ΠSn2 → ΞKv4 → Κaf8 → Β4ΜG → ΘkVA → xEΒK → ncdU → J0Πy → Πeb2 → Ξ2Ξ4 → ΜΙ76 → ΖΑFC → tkVO → VEΒm → nGzU → jIxY → fAΖc → v2ΞM → ΜYh6 → Ζ8ΘC → zsNI → hUla → H6ΚΑ → ΔiXE → pAΖS → vMtM → ZWji ⮌ | ||
| 90,703× | (max) 39 nodes | ⮎ HEΒΑ → niXU → JAΖy → vebM → Z2Ξi → Μ8Θ6 → ΖyHC → tgZO → V6Κm → ΔGzE → piXS → NAΖu → vWjM → ZCΔi → r8ΘQ → zQpI → hOra → T6Κo → ΔKvE → pafS → N4Μu → ΘWjA → xCΔK → rcdQ → R0Πq → ΠOr2 → ΞSn4 → ΚKv8 → ΒafG → l4ΜW → ΘEΒA → xmTK → dIxe → f0Πc → Π2Ξ2 → ΞΛ54 → ΚΕB8 → ΒsNG → lUlW ⮌ | ||
| 90,559× | (max) 39 nodes | ⮎ B6ΚΗ → ΔuLE → pYhS → N8Θu → zWjI → hCΔa → r6ΚQ → ΔQpE → pOrS → TMto → XKvk → bCΔg → r4ΜQ → ΘQpA → xOrK → dSne → L0Πw → Πaf2 → Ξ4Μ4 → ΚΗ98 → ΒwJG → lcdW → F0ΠΓ → ΠmT2 → ΞIx4 → Κeb8 → Β2ΞG → ΜkV6 → ΖEΒC → tmTO → VIxm → fGzc → j2ΞY → ΜAΖ6 → ΖuLC → tYhO → V8Θm → zGzI → jgZY ⮌ | ||
| 90,255× | (max) 39 nodes | ⮎ 90ΠΙ → ΠyH2 → ΞgZ4 → Κ6Κ8 → ΔΑFE → pkVS → NEΒu → nWjU → JCΔy → rebQ → R2Ξq → ΜOr6 → ΖSnC → tKvO → bUlg → H4ΜΑ → ΘiXA → xAΖK → vcdM → Z0Πi → Π8Θ2 → ΞyH4 → ΚgZ8 → Β6ΚG → ΔkVE → pEΒS → nMtU → XIxk → fCΔc → r2ΞQ → ΜQp6 → ΖOrC → tSnO → VKvm → bGzg → j4ΜY → ΘAΖA → xuLK → dYhe ⮌ | ||
| 5 | 2 cycles | 19,359,256× | 3 nodes | ⮎ qOΡrR → sPΡqP → rSΡnQ ⮌ |
| 9,675,061× | (max) 4 nodes | ⮎ qPΡqR → rOΡrQ → sQΡpP → rRΡoQ ⮌ | ||
| 6 | 5 cycles | 226,474,193× | 12 nodes | ⮎ fdDΓdc → p2ΡΡΞS → ΟoNsS3 → ΜVLul6 → ΖZFΑhC → tl7ΙVO → ΒVFΑlG → mkFΑWV → lHDΓzW → piEΒYS → nN9ΗtU → xWIxkK ⮌ |
| 102,613,951× | (max) 43 nodes | ⮎ RIΡΡxq → yp6ΚRJ → ΔfNsbE → pV3ΝlS → ΚNFΑt8 → ΒlVkVG → lGEΒΑW → nkEΒWU → nJDΓxU → peIxcS → fN1Οtc → ΞW2Ξk4 → ΜΚDΓ76 → ΖΓoREC → toMtSO → XVLulk → ZGCΔΑi → rk8ΘWQ → zRDΓpI → phNsZS → VN7Ιtm → ΒWGzkG → ljDΓXW → pFBΕΒS → tmMtUO → XVHylk → hGCΔΑa → rk6ΚWQ → ΔRDΓpE → qoNsSR → VPLurm → ZSGzoi → jM8ΘuY → zYAΖiI → vh9ΗZM → xZ7ΙhK → Βd7ΙdG → ΒkΡΡVG → ΑlGzVH → kiFΑYX → lD9ΗΔW → xqEΒQK → ndPqdU ⮌ | ||
| 31,623,690× | 7 nodes | ⮎ jJDΓxY → peAΖcS → vN1ΟtM → ΞZVkh4 → ΚF7ΙΒ8 → ΓΑlUGF → nkGzWU ⮌ | ||
| 27,066,967× | 9 nodes | ⮎ XF1ΟΒk → ΞmCΔU4 → ΚrHyP8 → ΒhRoZG → lN7ΙtW → ΒWEΒkG → nlDΓVU → pJFΑxS → leMtcW ⮌ | ||
| 18,702,664× | 13 nodes | ⮎ VEΡΡΒm → ΓlEΒVF → omFΑUT → lLHyvW → haEΒga → n75ΛΚU → ΖΓIxEC → toebSO → VM2Ξum → ΜYGzi6 → Ζj9ΗXC → xtBΕNK → tdVkdO ⮌ | ||
| 7 | 1 cycle | 4,935,847,241× | (max) 8 nodes | ⮎ xdGΡzdK → ΑfJΡwbH → zhKΡvZI → yfLΡubJ → xdIΡxdK → ydJΡwdJ → xfIΡxbK → ydLΡudJ ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |