| 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 | 3 cycles | 1,824× | (max) 12 nodes | ⮎ 1Ξ → Μ3 → Θ7 → zF → jV → DΒ → nR → Lt → Xh → 9Ζ → vJ → bd ⮌ |
| 912× | 6 nodes | ⮎ 5Κ → ΔB → rN → Tl → Hx → fZ ⮌ | ||
| 152× | (fixed) 1 node | ⮎ Pp ⮌ | ||
| 3 | 1 cycle | 79,002× | (max) 2 nodes | ⮎ bΟd → cΟc ⮌ |
| 4 | 27 cycles | 69,721× | (max) 30 nodes | ⮎ F6ΘΑ → ΒkTE → nGxS → hKtY → Z8Ζg → x6ΘI → ΒeZE → n4ΚS → ΖKtA → vYfK → b6Θe → Β2ΜE → ΚmR6 → ΔKtC → rYfO → T6Θm → ΒIvE → ncbS → L0Ξu → ΞYf2 → Μ6Θ4 → ΘΑD8 → zmRG → jKtW → ZCΒg → p6ΘQ → ΒOpE → nQnS → NKts → ZUjg ⮌ |
| 69,047× | (max) 30 nodes | ⮎ D8ΖΓ → xoPI → fOpa → R4Κo → ΖMrA → vUjK → bEze → l2ΜU → ΚGx6 → ΔgXC → r8ΖO → xSlI → fIva → d4Κc → Ζ0ΞA → ΞuJ2 → Μad4 → Θ2Μ8 → ΚyF6 → ΔiVC → rCΒO → pSlQ → PIvq → dQnc → N0Ξs → ΞUj2 → ΜEz4 → ΘkT8 → zGxG → jgXW ⮌ | ||
| 68,552× | (max) 30 nodes | ⮎ H8Ζy → xgXI → f8Ζa → x4ΚI → ΖeZA → v4ΚK → ΖadA → v2ΜK → Κad6 → Δ2ΜC → ΚqN6 → ΔSlC → rIvO → dSlc → J0Ξw → Ξcb2 → Μ0Ξ4 → ΞΗ72 → ΜyF4 → ΘiV8 → zCΒG → piVQ → PCΒq → pQnQ → PMrq → VQnk → NEzs → lUjU → HEzy → lgXU ⮌ | ||
| 68,492× | (max) 30 nodes | ⮎ B0ΞΕ → ΞsL2 → ΜWh4 → ΘAΔ8 → zsLG → jWhW → DAΔΓ → toPM → XOpi → RAΔo → tMrM → XUji → FAΔΑ → tkTM → XGxi → hAΔY → t8ΖM → xWhI → fAΔa → t4ΚM → ΖWhA → vAΔK → tadM → X2Μi → ΚAΔ6 → ΔsLC → rWhO → TAΔm → tIvM → dWhc ⮌ | ||
| 68,472× | (max) 30 nodes | ⮎ 90ΞΗ → ΞwH2 → ΜeZ4 → Θ4Κ8 → ΖyFA → viVK → bCΒe → p2ΜQ → ΚOp6 → ΔQnC → rMrO → VSlk → JEzw → lcbU → H0Ξy → ΞgX2 → Μ8Ζ4 → ΘwH8 → zeZG → j4ΚW → ΖCΒA → voPK → bOpe → R2Μo → ΚMr6 → ΔUjC → rEzO → lSlU → JGxw → hcbY ⮌ | ||
| 68,097× | (max) 30 nodes | ⮎ D0ΞΓ → ΞoP2 → ΜOp4 → ΘQn8 → zMrG → jUjW → FCΒΑ → pkTQ → PGxq → hQnY → N8Ζs → xUjI → fEza → l4ΚU → ΖGxA → vgXK → b8Ζe → x2ΜI → ΚeZ6 → Δ4ΚC → ΖqNA → vSlK → bIve → d2Μc → Κ0Ξ6 → ΞΓB2 → ΜqN4 → ΘSl8 → zIvG → jcbW ⮌ | ||
| 68,055× | (max) 30 nodes | ⮎ F0ΞΑ → ΞkT2 → ΜGx4 → ΘgX8 → z8ΖG → xiVI → fCΒa → p4ΚQ → ΖOpA → vQnK → bMre → V2Μk → ΚEz6 → ΔkTC → rGxO → hSlY → J8Ζw → xcbI → f0Ξa → Ξ4Κ2 → ΜΕ94 → ΘuJ8 → zadG → j2ΜW → ΚCΒ6 → ΔoPC → rOpO → TQnm → NIvs → dUjc ⮌ | ||
| 67,936× | (max) 30 nodes | ⮎ 30ΞΝ → ΞΙ52 → ΜΓB4 → ΘqN8 → zSlG → jIvW → dCΒc → p0ΞQ → ΞOp2 → ΜQn4 → ΘMr8 → zUjG → jEzW → lCΒU → pGxQ → hOpY → R8Ζo → xMrI → fUja → F4ΚΑ → ΖkTA → vGxK → hadY → 92ΜΗ → ΚwH6 → ΔeZC → r4ΚO → ΖSlA → vIvK → dadc ⮌ | ||
| 67,734× | (max) 30 nodes | ⮎ 70ΞΙ → ΞΑD2 → ΜmR4 → ΘKt8 → zYfG → j6ΘW → ΒCΒE → pmRQ → PKtq → ZQng → N6Θs → ΒUjE → nEzS → lKtU → ZGxg → h6ΘY → Β8ΖE → xmRI → fKta → Z4Κg → Ζ6ΘA → ΒuJE → nadS → L2Μu → ΚYf6 → Δ6ΘC → ΒqNE → nSlS → LIvu → dYfc ⮌ | ||
| 67,720× | (max) 30 nodes | ⮎ 96ΘΗ → ΒwHE → neZS → L4Κu → ΖYfA → v6ΘK → ΒadE → n2ΜS → ΚKt6 → ΔYfC → r6ΘO → ΒSlE → nIvS → dKtc → Z0Ξg → Ξ6Θ2 → ΜΑD4 → ΘmR8 → zKtG → jYfW → D6ΘΓ → ΒoPE → nOpS → RKto → ZMrg → V6Θk → ΒEzE → nkTS → LGxu → hYfY ⮌ | ||
| 67,621× | (max) 30 nodes | ⮎ 94ΚΗ → ΖwHA → veZK → b4Κe → Ζ2ΜA → ΚuJ6 → ΔadC → r2ΜO → ΚSl6 → ΔIvC → rcbO → T0Ξm → ΞIv2 → Μcb4 → Θ0Ξ8 → ΞyF2 → ΜiV4 → ΘCΒ8 → zoPG → jOpW → RCΒo → pMrQ → VOpk → REzo → lMrU → VGxk → hEzY → l8ΖU → xGxI → heZY ⮌ | ||
| 67,485× | (max) 30 nodes | ⮎ H4Κy → ΖgXA → v8ΖK → xadI → f2Μa → Κ4Κ6 → ΖΓBA → vqNK → bSle → J2Μw → Κcb6 → Δ0ΞC → ΞqN2 → ΜSl4 → ΘIv8 → zcbG → j0ΞW → ΞCΒ2 → ΜoP4 → ΘOp8 → zQnG → jMrW → VCΒk → pEzQ → lOpU → RGxo → hMrY → V8Ζk → xEzI → leZU ⮌ | ||
| 67,424× | (max) 30 nodes | ⮎ B4ΚΕ → ΖsLA → vWhK → bAΔe → t2ΜM → ΚWh6 → ΔAΔC → tqNM → XSli → JAΔw → tcbM → X0Ξi → ΞAΔ2 → ΜsL4 → ΘWh8 → zAΔG → tiVM → XCΒi → pAΔQ → tOpM → XQni → NAΔs → tUjM → XEzi → lAΔU → tGxM → hWhY → B8ΖΕ → xsLI → fWha ⮌ | ||
| 67,397× | (max) 30 nodes | ⮎ RMro → VMrk → VEzk → lEzU → lGxU → hGxY → h8ΖY → x8ΖI → xeZI → f4Κa → Ζ4ΚA → ΖuJA → vadK → b2Μe → Κ2Μ6 → ΚΓB6 → ΔqNC → rSlO → TIvm → dIvc → d0Ξc → Ξ0Ξ2 → ΞΛ32 → ΜΗ74 → ΘyF8 → ziVG → jCΒW → pCΒQ → pOpQ → ROpo ⮌ | ||
| 67,108× | (max) 30 nodes | ⮎ 50ΞΛ → ΞΕ92 → ΜuJ4 → Θad8 → z2ΜG → ΚiV6 → ΔCΒC → roPO → TOpm → RIvo → dMrc → V0Ξk → ΞEz2 → ΜkT4 → ΘGx8 → zgXG → j8ΖW → xCΒI → peZQ → P4Κq → ΖQnA → vMrK → bUje → F2ΜΑ → ΚkT6 → ΔGxC → rgXO → T8Ζm → xIvI → fcba ⮌ | ||
| 66,915× | (max) 30 nodes | ⮎ B2ΜΕ → ΚsL6 → ΔWhC → rAΔO → tSlM → XIvi → dAΔc → t0ΞM → ΞWh2 → ΜAΔ4 → ΘsL8 → zWhG → jAΔW → tCΒM → pWhQ → PAΔq → tQnM → XMri → VAΔk → tEzM → lWhU → HAΔy → tgXM → X8Ζi → xAΔI → teZM → X4Κi → ΖAΔA → vsLK → bWhe ⮌ | ||
| 66,862× | (max) 30 nodes | ⮎ 52ΜΛ → ΚΕ96 → ΔuJC → radO → T2Μm → ΚIv6 → ΔcbC → r0ΞO → ΞSl2 → ΜIv4 → Θcb8 → z0ΞG → ΞiV2 → ΜCΒ4 → ΘoP8 → zOpG → jQnW → NCΒs → pUjQ → PEzq → lQnU → NGxs → hUjY → F8ΖΑ → xkTI → fGxa → h4ΚY → Ζ8ΖA → xuJI → fada ⮌ | ||
| 66,586× | (max) 30 nodes | ⮎ 72ΜΙ → ΚΑD6 → ΔmRC → rKtO → ZSlg → J6Θw → ΒcbE → n0ΞS → ΞKt2 → ΜYf4 → Θ6Θ8 → ΒyFE → niVS → LCΒu → pYfQ → P6Θq → ΒQnE → nMrS → VKtk → ZEzg → l6ΘU → ΒGxE → ngXS → L8Ζu → xYfI → f6Θa → Β4ΚE → ΖmRA → vKtK → bYfe ⮌ | ||
| 66,502× | (max) 30 nodes | ⮎ 74ΚΙ → ΖΑDA → vmRK → bKte → Z2Μg → Κ6Θ6 → ΔΑDC → rmRO → TKtm → ZIvg → d6Θc → Β0ΞE → ΞmR2 → ΜKt4 → ΘYf8 → z6ΘG → ΒiVE → nCΒS → pKtQ → ZOpg → R6Θo → ΒMrE → nUjS → LEzu → lYfU → H6Θy → ΒgXE → n8ΖS → xKtI → fYfa ⮌ | ||
| 65,577× | (max) 30 nodes | ⮎ H2Μy → ΚgX6 → Δ8ΖC → xqNI → fSla → J4Κw → ΖcbA → v0ΞK → Ξad2 → Μ2Μ4 → ΚΗ76 → ΔyFC → riVO → TCΒm → pIvQ → dOpc → R0Ξo → ΞMr2 → ΜUj4 → ΘEz8 → zkTG → jGxW → hCΒY → p8ΖQ → xOpI → fQna → N4Κs → ΖUjA → vEzK → ladU ⮌ | ||
| 65,126× | (max) 30 nodes | ⮎ HCΒy → pgXQ → P8Ζq → xQnI → fMra → V4Κk → ΖEzA → vkTK → bGxe → h2ΜY → Κ8Ζ6 → ΔwHC → reZO → T4Κm → ΖIvA → vcbK → b0Ξe → Ξ2Μ2 → ΜΙ54 → ΘΓB8 → zqNG → jSlW → JCΒw → pcbQ → P0Ξq → ΞQn2 → ΜMr4 → ΘUj8 → zEzG → liVU ⮌ | ||
| 64,592× | (max) 30 nodes | ⮎ D2ΜΓ → ΚoP6 → ΔOpC → rQnO → TMrm → VIvk → dEzc → l0ΞU → ΞGx2 → ΜgX4 → Θ8Ζ8 → zwHG → jeZW → D4ΚΓ → ΖoPA → vOpK → bQne → N2Μs → ΚUj6 → ΔEzC → rkTO → TGxm → hIvY → d8Ζc → x0ΞI → ΞeZ2 → Μ4Κ4 → ΘΕ98 → zuJG → jadW ⮌ | ||
| 34,595× | 15 nodes | ⮎ P2Μq → ΚQn6 → ΔMrC → rUjO → TEzm → lIvU → dGxc → h0ΞY → Ξ8Ζ2 → ΜwH4 → ΘeZ8 → z4ΚG → ΖiVA → vCΒK → padQ ⮌ | ||
| 34,182× | 15 nodes | ⮎ B6ΘΕ → ΒsLE → nWhS → LAΔu → tYfM → X6Θi → ΒAΔE → tmRM → XKti → ZAΔg → t6ΘM → ΒWhE → nAΔS → tKtM → ZWhg ⮌ | ||
| 11,305× | 5 nodes | ⮎ Z6Θg → Β6ΘE → ΒmRE → nKtS → ZKtg ⮌ | ||
| 11,305× | 5 nodes | ⮎ L6Θu → ΒYfE → n6ΘS → ΒKtE → nYfS ⮌ | ||
| 7,095× | 3 nodes | ⮎ XAΔi → tAΔM → tWhM ⮌ | ||
| 5 | 1 cycle | 25,621,519× | (max) 4 nodes | ⮎ pOΟpQ → qOΟpP → qQΟnP → pPΟoQ ⮌ |
| 6 | 4 cycles | 236,806,668× | 68 nodes | ⮎ HE2ΜΑy → ΚmgXS6 → ΔK8ΖuC → xrZeNI → fU4Κka → ΖG4ΚyA → ΖvhWJA → vcAΔcK → taΟΟdM → seFyaN → jV3ΛjW → ΘECΒΑ8 → zplSPG → jQIvoW → dOCΒqc → pS0ΞmQ → ΞPJup2 → ΜbPod4 → ΘP1Νp8 → ΜzPoF4 → ΘkOpU8 → zRFynG → kiLsWV → XFBΓzi → rkAΔUO → tTFylM → jXHwhW → fD9ΕΒa → vo4ΚQK → ΖbNqdA → vT1ΝlK → ΜbHwd4 → Θf1ΝZ8 → Μz5ΙF4 → ΘΔjUB8 → zsEzMG → ljViVU → HECΒΑy → pmgXSQ → PK8Ζuq → xaQneI → fN3Λra → ΘU4Κk8 → ΖzFyFA → vkiVUK → bGCΒye → pi2ΜWQ → ΚPBΓp6 → ΔrPoNC → rUOpkO → TRFynm → jMIvsW → dWCΒic → pC0ΞΓQ → ΞqOpO2 → ΜSQnm4 → ΘNJur8 → zbTkdG → jH1ΝxW → ΜgCΒY4 → Θp7ΗP8 → ΑyPoGF → liOpWU → RHBΓxo → rgMrYO → VT7Ηlk → zIEzwG → ljdaVU ⮌ |
| 89,914,512× | (max) 172 nodes | ⮎ 951ΝΚΗ → ΜΕwHA4 → ΘueZK8 → za4ΚeG → Ζj3ΛVA → ΘvDΑJ8 → znbcRG → jM0ΞsW → ΞWCΒi2 → ΜpBΓP4 → ΘrPoN8 → zUOpkG → jRFynW → jMCΒsW → pWCΒiQ → pPBΓpQ → rQOpoO → TRNqnm → TMIvsm → dWIvic → dC0ΞΓc → Ξq0ΞO2 → ΞΜRm32 → ΜΙKt64 → ΘΓYfC8 → zq6ΘOG → ΒjRmVE → nLDΑtS → nYKtgS → ZL7Ηtg → zY6ΘgG → Βj7ΗVE → znDΑRG → njLsVS → XLDΑti → nYAΔgS → tL7ΗtM → zYWhgG → jB7ΗΔW → zsCΒMG → pjViVQ → PECΒΑq → pmQnSQ → PNJurq → bUQnke → NG2Μys → ΚiUjW6 → ΔFBΓzC → sqjUON → VSEzmk → lKEzuU → laGxeU → hH3ΛxY → Θg8ΖY8 → zx7ΗHG → zjfYVG → jE6ΘΑW → ΒmCΒSE → pnJuRQ → bPLspe → XQ2Μoi → ΚOAΔq6 → ΔtRmLC → rYKtgO → ZT7Ηlg → zI6ΘwG → ΒjdaVE → nE2ΜΑS → ΚmKtS6 → ΔZJufC → rb5ΙdO → ΔT1ΝlC → ΜrHwN4 → ΘfTkZ8 → zH5ΙxG → ΔjfYVC → rE6ΘΑO → ΒmSlSE → nKIvuS → daKtec → Z40ΞΛg → ΞΗ6Θ82 → ΜΒxGD4 → ΘogXQ8 → zO8ΖqG → xjRmVI → fLDΑta → nY4ΚgS → ΖL7ΗtA → zvXgJG → jc8ΖcW → xCΟΟΒI → Γw3ΛID → ΘpdaP8 → zQ2ΜoG → ΚjNqV6 → ΔTDΑlC → rnHwRO → fTLsla → XI4Κwi → ΖeAΔaA → vt3ΛLK → ΘbXgd8 → z91ΝΖG → ΜwiVI4 → ΘeCΒa8 → zp3ΛPG → ΘjPoV8 → zPDΑpG → njPoVS → PLDΑtq → nYQngS → NL7Ηts → zYUjgG → jF7ΗzW → zkCΒUG → pjFyVQ → jPDΑpW → nQCΒoS → pOKtqQ → ZSOpmg → RK6Θuo → ΒaMreE → nV3ΛjS → ΘLDΑt8 → znXgRG → jM8ΖsW → xWCΒiI → pfBΓZQ → rP5ΙpO → ΔTPolC → rPHwpO → fTPola → PI4Κwq → ΖeQnaA → vN3ΛrK → ΘbTkd8 → zH1ΝxG → ΜjfYV4 → ΘE6ΘΑ8 → ΒzlSFE → nkIvUS → dLFytc → jY0ΞgW → ΞD7ΗΒ2 → ΜznQF4 → ΘkMrU8 → zVFyjG → kiDΑWV → nFBΓzS → rkKtUO → ZTFylg → jI6ΘwW → ΒeCΒaE → pn3ΛRQ → ΘPLsp8 → zXPohG → jP9ΕpW → vQCΒoK → pbNqdQ → TP1Νpm → ΜQIvo4 → ΘdNqb8 → zT1ΝlG → ΜjHwV4 → ΘfDΑZ8 → zn5ΙRG → ΔjLsVC → rXDΑhO → nT9ΕlS → vLHwtK → fbXgda ⮌ | ||
| 23,296,533× | 6 nodes | ⮎ rn1ΝRO → ΜTLsl4 → ΘXHwh8 → zf9ΕZG → vj5ΙVK → ΔbDΑdC ⮌ | ||
| 144,022× | 5 nodes | ⮎ ZC6ΘΓg → Βq6ΘOE → ΒnRmRE → nMKtsS → ZWKtig ⮌ | ||
| 7 | 3 cycles | 3,392,317,703× | 2 nodes | ⮎ vdIΟvbK → wbJΟudJ ⮌ |
| 400,449,030× | 2 nodes | ⮎ wdHΟwbJ → xdKΟtbI ⮌ | ||
| 359,151,818× | (max) 4 nodes | ⮎ ubHΟwdL → xbIΟvdI → wfJΟuZJ → vdKΟtbK ⮌ | ||
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |