| 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 | 2 cycles | 1,680× | (max) 3 nodes | ⮎ 7Β → tF → dV ⮌ |
| 560× | (fixed) 1 node | ⮎ Nl ⮌ | ||
| 3 | 1 cycle | 62,125× | (max) 2 nodes | ⮎ YΙa → ZΙZ ⮌ |
| 4 | 17 cycles | 68,755× | (max) 35 nodes | ⮎ 74ΔΓ → zuDA → pgRK → VEte → f8zU → rAxI → nYZM → R0Θi → ΘGr2 → ΖaX4 → Β2Ζ8 → ΔsF6 → xcVC → l6ΒO → vMlE → hOjS → LEto → fSfU → DAxw → niPM → RIpi → XGrc → b4ΔY → z2ΖA → ΔoJ6 → xUdC → l8zO → rMlI → ZOja → L0Θo → ΘSf2 → ΖCv4 → ΒiP8 → tIpG → dWbW ⮌ |
| 68,739× | (max) 35 nodes | ⮎ 52ΖΕ → Δy96 → xoJC → lUdO → N8zm → rOjI → ZKna → T0Θg → ΘCv2 → ΖiP4 → ΒIp8 → tWbG → d4ΔW → z6ΒA → voJE → hUdS → F8zu → reTI → ZAxa → n0ΘM → ΘQh2 → ΖGr4 → ΒaX8 → t2ΖG → ΔcV6 → x6ΒC → vkNE → hMlS → PEtk → fKnU → TAxg → nCvM → jQhQ → JGrq → bWbY ⮌ | ||
| 68,735× | (max) 35 nodes | ⮎ 94ΔΑ → zqHA → pYZK → V0Θe → Θ8z2 → ΖqH4 → ΒYZ8 → t0ΘG → ΘcV2 → Ζ6Β4 → ΒuD8 → tgRG → dEtW → f6ΒU → vAxE → ngRM → REti → fGrU → bAxY → n2ΖM → ΔQh6 → xGrC → laXO → N2Ζm → ΔOj6 → xKnC → lSfO → NCvm → jOjQ → LIpo → XSfc → D4Δw → ziPA → pIpK → XUdc ⮌ | ||
| 68,727× | (max) 35 nodes | ⮎ D2Ζw → ΔiP6 → xIpC → lWbO → N4Δm → zOjA → pKnK → VSfe → D8zw → riPI → ZIpa → X0Θc → Θ4Δ2 → Ζy94 → ΒoJ8 → tUdG → d8zW → r6ΒI → vYZE → h0ΘS → ΘEt2 → ΖeT4 → ΒAx8 → tmLG → dQhW → H6Βs → vaXE → h2ΖS → ΔEt6 → xeTC → lAxO → nMlM → ROji → LGro → bSfY ⮌ | ||
| 68,447× | (max) 35 nodes | ⮎ B2Ζy → ΔmL6 → xQhC → lGrO → bMlY → P2Ζk → ΔKn6 → xSfC → lCvO → jMlQ → PIpk → XKnc → T4Δg → zCvA → piPK → VIpe → X8zc → r4ΔI → zYZA → p0ΘK → ΘUd2 → Ζ8z4 → ΒqH8 → tYZG → d0ΘW → Θ6Β2 → ΖuD4 → ΒgR8 → tEtG → fcVU → B6Βy → vmLE → hQhS → HEts → faXU ⮌ | ||
| 68,435× | (max) 35 nodes | ⮎ 72ΖΓ → ΔuD6 → xgRC → lEtO → fMlU → PAxk → nKnM → TQhg → HCvs → jaXQ → J2Ζq → ΔWb6 → x4ΔC → zkNA → pMlK → VOje → L8zo → rSfI → ZCva → j0ΘQ → ΘIp2 → ΖWb4 → Β4Δ8 → zsFA → pcVK → V6Βe → v8zE → rgRI → ZEta → f0ΘU → ΘAx2 → ΖmL4 → ΒQh8 → tGrG → daXW ⮌ | ||
| 68,355× | (max) 35 nodes | ⮎ 30ΘΗ → ΘΓ52 → ΖwB4 → ΒkN8 → tMlG → dOjW → L6Βo → vSfE → hCvS → jEtQ → fIpU → XAxc → n4ΔM → zQhA → pGrK → bUdY → 92ΖΑ → ΔqH6 → xYZC → l0ΘO → ΘMl2 → ΖOj4 → ΒKn8 → tSfG → dCvW → j6ΒQ → vIpE → hWbS → F4Δu → zeTA → pAxK → nUdM → R8zi → rGrI → bYZY ⮌ | ||
| 68,343× | (max) 35 nodes | ⮎ FAxu → neTM → RAxi → nGrM → bQhY → H2Ζs → ΔaX6 → x2ΖC → ΔkN6 → xMlC → lOjO → NKnm → TOjg → LCvo → jSfQ → JCvq → jWbQ → J4Δq → zWbA → p4ΔK → zUdA → p8zK → rUdI → Z8za → r0ΘI → ΘYZ2 → Ζ0Θ4 → ΘΑ72 → ΖsF4 → ΒcV8 → t6ΒG → vcVE → h6ΒS → vEtE → heTS ⮌ | ||
| 67,975× | (max) 35 nodes | ⮎ PKnk → TKng → TCvg → jCvQ → jIpQ → XIpc → X4Δc → z4ΔA → zoJA → pUdK → V8ze → r8zI → rYZI → Z0Θa → Θ0Θ2 → ΘΕ32 → ΖΑ74 → ΒsF8 → tcVG → d6ΒW → v6ΒE → vgRE → hEtS → fEtU → fAxU → nAxM → nQhM → RGri → bGrY → b2ΖY → Δ2Ζ6 → ΔwB6 → xkNC → lMlO → PMlk ⮌ | ||
| 67,779× | (max) 35 nodes | ⮎ 50ΘΕ → Θy92 → ΖoJ4 → ΒUd8 → t8zG → rcVI → Z6Βa → v0ΘE → ΘgR2 → ΖEt4 → ΒeT8 → tAxG → ncVM → R6Βi → vGrE → haXS → F2Ζu → ΔeT6 → xAxC → nkNM → RMli → PGrk → bKnY → T2Ζg → ΔCv6 → xiPC → lIpO → XMlc → P4Δk → zKnA → pSfK → VCve → j8zQ → rIpI → ZWba ⮌ | ||
| 67,235× | (max) 35 nodes | ⮎ B4Δy → zmLA → pQhK → VGre → b8zY → r2ΖI → ΔYZ6 → x0ΘC → ΘkN2 → ΖMl4 → ΒOj8 → tKnG → dSfW → D6Βw → viPE → hIpS → XEtc → f4ΔU → zAxA → pmLK → VQhe → H8zs → raXI → Z2Ζa → Δ0Θ6 → ΘwB2 → ΖkN4 → ΒMl8 → tOjG → dKnW → T6Βg → vCvE → jgRQ → JEtq → fWbU ⮌ | ||
| 66,899× | (max) 35 nodes | ⮎ 96ΒΑ → vqHE → hYZS → F0Θu → ΘeT2 → ΖAx4 → ΒmL8 → tQhG → dGrW → b6ΒY → v2ΖE → ΔgR6 → xEtC → leTO → NAxm → nOjM → RKni → TGrg → bCvY → j2ΖQ → ΔIp6 → xWbC → l4ΔO → zMlA → pOjK → VKne → T8zg → rCvI → jYZQ → J0Θq → ΘWb2 → Ζ4Δ4 → Βy98 → toJG → dUdW ⮌ | ||
| 66,855× | (max) 35 nodes | ⮎ 70ΘΓ → ΘuD2 → ΖgR4 → ΒEt8 → teTG → dAxW → n6ΒM → vQhE → hGrS → bEtY → f2ΖU → ΔAx6 → xmLC → lQhO → NGrm → bOjY → L2Ζo → ΔSf6 → xCvC → liPO → NIpm → XOjc → L4Δo → zSfA → pCvK → jUdQ → J8zq → rWbI → Z4Δa → z0ΘA → ΘoJ2 → ΖUd4 → Β8z8 → tqHG → dYZW ⮌ | ||
| 66,755× | (max) 35 nodes | ⮎ B8zy → rmLI → ZQha → H0Θs → ΘaX2 → Ζ2Ζ4 → ΔΑ76 → xsFC → lcVO → N6Βm → vOjE → hKnS → TEtg → fCvU → jAxQ → nIpM → XQhc → H4Δs → zaXA → p2ΖK → ΔUd6 → x8zC → rkNI → ZMla → P0Θk → ΘKn2 → ΖSf4 → ΒCv8 → tiPG → dIpW → X6Βc → v4ΔE → zgRA → pEtK → fUdU ⮌ | ||
| 66,615× | (max) 35 nodes | ⮎ FCvu → jeTQ → JAxq → nWbM → R4Δi → zGrA → paXK → V2Ζe → Δ8z6 → xqHC → lYZO → N0Θm → ΘOj2 → ΖKn4 → ΒSf8 → tCvG → jcVQ → J6Βq → vWbE → h4ΔS → zEtA → peTK → VAxe → n8zM → rQhI → ZGra → b0ΘY → Θ2Ζ2 → ΖΓ54 → ΒwB8 → tkNG → dMlW → P6Βk → vKnE → hSfS ⮌ | ||
| 66,335× | (max) 35 nodes | ⮎ 90ΘΑ → ΘqH2 → ΖYZ4 → Β0Θ8 → ΘsF2 → ΖcV4 → Β6Β8 → vsFE → hcVS → F6Βu → veTE → hAxS → nEtM → fQhU → HAxs → naXM → R2Ζi → ΔGr6 → xaXC → l2ΖO → ΔMl6 → xOjC → lKnO → TMlg → PCvk → jKnQ → TIpg → XCvc → j4ΔQ → zIpA → pWbK → V4Δe → z8zA → roJI → ZUda ⮌ | ||
| 65,571× | (max) 35 nodes | ⮎ B0Θy → ΘmL2 → ΖQh4 → ΒGr8 → taXG → d2ΖW → Δ6Β6 → xuDC → lgRO → NEtm → fOjU → LAxo → nSfM → RCvi → jGrQ → bIpY → X2Ζc → Δ4Δ6 → zwBA → pkNK → VMle → P8zk → rKnI → ZSfa → D0Θw → ΘiP2 → ΖIp4 → ΒWb8 → t4ΔG → zcVA → p6ΒK → vUdE → h8zS → rEtI → fYZU ⮌ | ||
| 5 | 1 cycle | 17,259,319× | (max) 4 nodes | ⮎ lMΙlO → mMΙlN → mOΙjN → lNΙkO ⮌ |
| 6 | 6 cycles | 128,049,781× | (max) 50 nodes | ⮎ B82ΖΑy → ΔsmLG6 → xcQhWC → lH5ΓrO → xaMlYC → lP1ΗjO → ΖNJol4 → ΒVNkd8 → tN7ΑlG → tdNkVG → dN7ΑlW → tO6ΒkG → vdLmVE → hR7ΑhS → tGEtsG → fdbWVU → B84ΔΑy → zsmLGA → pcQhWK → VH5Γre → xa8zYC → rl1ΗNI → ΖZNkZ4 → ΒMΙΙl8 → ΑmFsM9 → rdPiVI → ZJ7Αpa → tW0ΘcG → Θd5ΓV2 → Ζx7ΑB4 → ΒtlMF8 → teOjUG → dL9ynW → pS6ΒgK → vVDudE → ig7ΑSR → tHDurG → hdZYVS → F80ΘΑu → ΘseTG2 → ΖcAxW4 → Βn5ΓL8 → xtRgFC → leEtUO → fN9ylU → pOAxkK → nVLmdM → SQ7Αih → tIEtqG → fdXaVU ⮌ |
| 47,354,897× | (fixed) 1 node | ⮎ td7ΑVG ⮌ | ||
| 36,640,419× | 12 nodes | ⮎ ZR7Αha → tG0ΘsG → ΘdbWV2 → Ζ84ΔΑ4 → ΒzrG98 → tqaXIG → dY2ΖaW → Δ71ΗΒ6 → ΖxtEB4 → ΒmeTM8 → tQAxiG → ndHqVM ⮌ | ||
| 4,809,379× | 9 nodes | ⮎ XF9ytc → pe4ΔUK → zV9ydA → qo7ΑKJ → tXTebG → dB3ΕxW → Βm6ΒM8 → vtPiFE → heIpUS ⮌ | ||
| 965,223× | 17 nodes | ⮎ RKGroi → bUGreY → bA2ΖyY → Δo2ΖK6 → ΔxTeB6 → xmAxMC → nlPiNM → ROIpki → XMGrmc → bQ4ΔiY → zI2ΖqA → ΔpXaJ6 → xW2ΖcC → Δl5ΓN6 → ywNkCB → nkMlOM → RPLmji ⮌ | ||
| 799,170× | 6 nodes | ⮎ F6ΙΙΒu → Γt6ΒF7 → wudUED → jg8zSQ → rJDupI → hZVcZS ⮌ | ||
| 7 | 1 cycle | 2,404,808,269× | (max) 8 nodes | ⮎ rZEΙtZI → ubHΙqXF → tdIΙpVG → sbJΙoXH → rZGΙrZI → sZHΙqZH → rbGΙrXI → sZJΙoZH ⮌ |
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |