| 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 |
| 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 | 928× | (max) 4 nodes | ⮎ 3t → p7 → hF → RV ⮌ |
| 464× | 2 nodes | ⮎ Bl → ZN ⮌ | ||
| 232× | (fixed) 1 node | ⮎ Jd ⮌ | ||
| 3 | 1 cycle | 35,931× | (max) 2 nodes | ⮎ SwU → TwT ⮌ |
| 4 | 14 cycles | 40,577× | (max) 29 nodes | ⮎ 96po → jeHE → VMZS → D2tk → rWP6 → l6pC → jYNE → VAlS → b2tM → rEh6 → lSTC → Z0vO → vAl2 → taL4 → pEh8 → hSTG → R0vW → v4r2 → tm94 → pcJ8 → hIdG → RKbW → H4rg → nOXA → d8nK → fIdI → NKba → HCjg → XOXQ ⮌ |
| 40,569× | (max) 29 nodes | ⮎ 74rq → niDA → dURK → J2te → rKb6 → lGfC → ZOXO → B8nm → faLI → NEha → TCjU → X0vQ → v6p2 → tiD4 → pUR8 → h2tG → rQV6 → l4rC → nYNA → dAlK → bIdM → LEhc → TGfU → P0vY → v8n2 → teH4 → pMZ8 → hCjG → XQVQ ⮌ | ||
| 40,305× | (max) 29 nodes | ⮎ 72tq → riD6 → lURC → Z2tO → rAl6 → laLC → ZEhO → TAlU → b0vM → vEh2 → tST4 → p0v8 → vgF2 → tQV4 → p4r8 → ngFA → dQVK → J4re → nKbA → dGfK → PIdY → L8nc → fGfI → PMZY → D8nk → fWPI → N6pa → jCjE → XURQ ⮌ | ||
| 40,281× | (max) 29 nodes | ⮎ 30vu → vq52 → tkB4 → pYN8 → hAlG → bQVM → F4ri → nSTA → d0vK → vId2 → tKb4 → pGf8 → hOXG → R8nW → f4rI → nMZA → dCjK → XIdQ → L6pc → jGfE → VOXS → 92to → reH6 → lMZC → ZCjO → XAlQ → b6pM → jEhE → VSTS ⮌ | ||
| 40,225× | (max) 29 nodes | ⮎ D6pk → jWPE → V6pS → j2tE → rUR6 → l2tC → rYN6 → lAlC → bYNM → FAli → bSTM → F0vi → vST2 → t0v4 → vo72 → tgF4 → pQV8 → h4rG → nQVA → d4rK → nIdA → dKbK → JGfe → PKbY → H8ng → fOXI → N8na → fCjI → XMZQ ⮌ | ||
| 40,193× | (max) 29 nodes | ⮎ 94ro → neHA → dMZK → JCje → XKbQ → H6pg → jOXE → V8nS → f2tI → rMZ6 → lCjC → ZWPO → B6pm → jaLE → VEhS → T2tU → r0v6 → vkB2 → tYN4 → pAl8 → haLG → REhW → T4rU → n0vA → vcJ2 → tId4 → pKb8 → hGfG → ROXW ⮌ | ||
| 40,145× | (max) 29 nodes | ⮎ 70vq → viD2 → tUR4 → p2t8 → rgF6 → lQVC → Z4rO → nAlA → daLK → JEhe → TKbU → H0vg → vOX2 → t8n4 → peH8 → hMZG → RCjW → X4rQ → n6pA → jcJE → VIdS → L2tc → rGf6 → lOXC → Z8nO → fAlI → bMZM → FCji → XSTQ ⮌ | ||
| 40,101× | (max) 29 nodes | ⮎ LGfc → PGfY → P8nY → f8nI → fMZI → NCja → XCjQ → X6pQ → j6pE → jURE → V2tS → r2t6 → rkB6 → lYNC → ZAlO → bAlM → bEhM → TEhU → T0vU → v0v2 → vs32 → to74 → pgF8 → hQVG → R4rW → n4rA → ncJA → dIdK → LIdc ⮌ | ||
| 39,881× | (max) 29 nodes | ⮎ 50vs → vm92 → tcJ4 → pId8 → hKbG → RGfW → P4rY → n8nA → fcJI → NIda → LCjc → XGfQ → P6pY → j8nE → fURI → N2ta → rCj6 → lWPC → Z6pO → jAlE → bURM → F2ti → rST6 → l0vC → vYN2 → tAl4 → paL8 → hEhG → TQVU ⮌ | ||
| 39,713× | (max) 29 nodes | ⮎ 52ts → rm96 → lcJC → ZIdO → LAlc → bGfM → PEhY → T8nU → f0vI → vMZ2 → tCj4 → pWP8 → h6pG → jQVE → V4rS → n2tA → rcJ6 → lIdC → ZKbO → HAlg → bOXM → F8ni → fSTI → N0va → vCj2 → tWP4 → p6p8 → jgFE → VQVS ⮌ | ||
| 39,585× | (max) 29 nodes | ⮎ 90vo → veH2 → tMZ4 → pCj8 → hWPG → R6pW → j4rE → nURA → d2tK → rId6 → lKbC → ZGfO → PAlY → b8nM → fEhI → TMZU → D0vk → vWP2 → t6p4 → piD8 → hURG → R2tW → r4r6 → nkBA → dYNK → JAle → bKbM → HEhg → TOXU ⮌ | ||
| 39,145× | (max) 29 nodes | ⮎ DAlk → bWPM → F6pi → jSTE → V0vS → v2t2 → tq54 → pkB8 → hYNG → RAlW → b4rM → nEhA → dSTK → J0ve → vKb2 → tGf4 → pOX8 → h8nG → fQVI → N4ra → nCjA → dWPK → J6pe → jKbE → VGfS → P2tY → r8n6 → leHC → ZMZO ⮌ | ||
| 38,577× | (max) 29 nodes | ⮎ B4rm → naLA → dEhK → TIdU → L0vc → vGf2 → tOX4 → p8n8 → heHG → RMZW → D4rk → nWPA → d6pK → jIdE → VKbS → H2tg → rOX6 → l8nC → fYNI → NAla → bCjM → XEhQ → T6pU → j0vE → vUR2 → t2t4 → ro76 → lgFC → ZQVO ⮌ | ||
| 38,489× | (max) 29 nodes | ⮎ B0vm → vaL2 → tEh4 → pST8 → h0vG → vQV2 → t4r4 → pm98 → hcJG → RIdW → L4rc → nGfA → dOXK → J8ne → fKbI → NGfa → PCjY → X8nQ → f6pI → jMZE → VCjS → X2tQ → r6p6 → liDC → ZURO → B2tm → raL6 → lEhC → ZSTO ⮌ | ||
| 5 | 1 cycle | 7,028,788× | (max) 4 nodes | ⮎ dIwdK → eIwdJ → eKwbJ → dJwcK ⮌ |
| 6 | 8 cycles | 49,601,922× | (max) 119 nodes | ⮎ 931uto → tqeH64 → pkMZC8 → hYCjOG → XR9mVQ → d73spK → piIdE8 → hUKbSG → RH1ufW → tO4rY4 → pn9m98 → hecJIG → RMIdaW → LE4ric → nUGfSA → dP1uXK → tJ7od4 → phJcF8 → hSIdUG → RL1ubW → tG4rg4 → pnPW98 → he6pIG → jRLaVE → VF3shS → pS2tU8 → rh1uF6 → tlRUB4 → pa2tM8 → rhDiF6 → lVRURC → Z42tsO → roAl86 → lgaLGC → ZQEhWO → TB5qlU → la0vMC → vZDiN2 → tVBkR4 → pZ3sN8 → phBkF8 → hZRUNG → RC2tkW → rY4rO6 → nl9mBA → ecZMKJ → LICjec → XMGfaQ → PE6piY → jU8nSE → fV1uRI → tN3sZ4 → qoBk87 → jgYNGE → VQAlWS → b62tqM → rkEhC6 → lYSTOC → ZA0vmO → vcAlK2 → tbHeL4 → pNFgZ8 → hRBkVG → ZR3sVO → pB3sl8 → phZMF8 → hSCjUG → XR1uVQ → t73sp4 → qohE87 → jgSTGE → VQ0vWS → v62tq2 → trjC54 → pmWPA8 → hc6pKG → jRHeVE → VN3sZS → pC2tk8 → rhXOF6 → lS8nUC → fZ1uNI → tNBkZ4 → pZBkN8 → hZBkNG → ZRBkVO → ZB3slO → paAlM8 → hbDiLG → VRFgVS → R42tsW → ro4r86 → nlfGBA → daOXMK → JE8nie → fUKbSI → NH1ufa → tOCjY4 → pX9mP8 → hd7oJG → hRJcVG → RJ3sdW → pK4rc8 → nhHeFA → dSMZUK → JD1uje → tWKbQ4 → pH5qf8 → lhNYFC → ZSAlUO → bB1ulM → taEhM4 → pTDiT8 → hUwwRG → gVCjRH → XP3sXQ → p86po8 → jhfGFE → VSOXUS ⮌ |
| 20,386,043× | 27 nodes | ⮎ 863sqp → pkgFC8 → hYQVOG → RA4rmW → nc4rKA → ndHeJA → dNJcZK → KIBked → ZMIdaO → LEAlic → bUGfSM → PF1uhY → tS8nU4 → pf1uH8 → thNYF4 → pSAlU8 → hb1uLG → tRFgV4 → pR3sV8 → ph3sF8 → phRUF8 → hS2tUG → rR1uV6 → tl3sB4 → qoZM87 → jgCjGE → XVPWRQ ⮌ | ||
| 1,476,162× | 16 nodes | ⮎ J51ure → tmKbA4 → pcGfK8 → hPHeXG → RN7oZW → hC4rkG → nYQVOA → dA4rmK → ncIdKA → dLHebK → NJFgda → RKCjcW → XI4reQ → nM6paA → jdDiJE → WUJcSR ⮌ | ||
| 1,455,431× | 8 nodes | ⮎ bR1uVM → tF3sh4 → qoRU87 → jg2tGE → rVPWR6 → l73spC → piYNE8 → hUAlSG ⮌ | ||
| 1,242,986× | 2 nodes | ⮎ hZ3sNG → pRBkV8 ⮌ | ||
| 705,411× | 2 nodes | ⮎ hJ3sdG → pRJcV8 ⮌ | ||
| 63,693× | 2 nodes | ⮎ ti0vE4 → vpTS72 ⮌ | ||
| 42,661× | 2 nodes | ⮎ JH9mfe → dOKbYK ⮌ | ||
| 7 | 1 cycle | 696,190,501× | (max) 8 nodes | ⮎ iTBwkTF → lVEwhRC → kXFwgPD → jVGwfRE → iTDwiTF → jTEwhTE → iVDwiRF → jTGwfTE ⮌ |
| 8 | 3 cycles | 5,726,116,412× | (max) 177 nodes | ⮎ J651urqe → tmkKbCA4 → pcYGfOK8 → hPI9meXG → dRM7oaVK → hJE3sidG → pURJcVS8 → hJ41usdG → toRJcV84 → pgJ3sdG8 → phQJcWF8 → hSJ5qdUG → lRK1ucVC → tZI3seN4 → qoMBka87 → jgZDiNGE → WUQBkWSR → Z651urqO → tmkAlCA4 → pcbXOLK8 → hIG8ngeG → fRQLaWVI → NF63sqha → pkSCjUC8 → hYX1uPOG → tRA7omV4 → phc3sKF8 → phSHeUF8 → hSN1uZUG → tRC1ukV4 → tpY3sO74 → qoi9mE87 → jgdTSJGE → VQK0vcWS → vI62tqe2 → trkLaC54 → pmYEhOA8 → hcT9mTKG → dRHwweVK → fcD7ojKI → hWNHeZQG → RNC5qkZW → lYC4rkOC → nZY9mONA → ecC9mkKJ → dYLHebOK → NJG9mgda → dQKCjcWK → XJI5qedQ → lMK6pcaC → jZIDieNE → WUMBkaSR → ZE51uriO → tmUAlSA4 → pcb1uLK8 → thIFgeF4 → pSRLaVU8 → hF41ushG → toSQVU84 → pg51urG8 → tmhPWFA4 → pcS6pUK8 → jhI1ueFE → tVSLaUR4 → pF41ush8 → tohRUF84 → pgS2tUG8 → rhQ1uWF6 → tlS5qUB4 → pla1uMB8 → thaDiMF4 → pVSDiUR8 → hV41usRG → toR3sV84 → qog3sG87 → pjgPWGD8 → hWQ6pWQG → jR65qqVE → lkV3sRCC → pZY3sON8 → phC9mkF8 → hdYRUOJG → RKA2tmcW → rcI4reK6 → nlMHeaBA → daNDiZMK → VJEBkidS → ZUK2tcSO → rIB1ule6 → tlaLaMB4 → paFDihM8 → hVSDiURG → VR41usVS → to42ts84 → rpofG876 → ligOXGEC → ZUQ8nWSO → fB61uqlI → tkaMZMC4 → pYECjiO8 → hXU9mSPG → dR81uoVK → tgJ3sdG4 → qoQJcW87 → jgJ5qdGE → lVQJcWRC → ZJ63sqdO → pkKAlcC8 → hbYHeOLG → RNG9mgZW → dQC4rkWK → nYJ5qdOA → ldK9mcJC → dZKHecNK → NJIBkeda → ZMKCjcaO → XIEAlieQ → bUM6paSM → jFE1uihE → tVURUSR4 → p431uts8 → tqogF864 → pkgQVGC8 → hYQ4rWOG → nRA5qmVA → ldc3sKJC → pZKHecN8 → hNIBkeZG → ZRMBkaVO → ZEB3sliO → paUAlSM8 → hbE1uiLG → tURFgVS4 → pR41usV8 → toh3sF84 → qogRUG87 → jgQ2tWGE → rVQ5qWR6 → mk63sqCB → pkbXOLC8 → hYG8ngOG → fRQ9mWVI → dN63sqZK → pkJBkdC8 → hZYJcONG → RJC9mkdW → dYK4rcOK → nJI9medA → ecMJcaKJ → LJIDiedc → VMKGfcaS → PIE2tieY → rUM8naS6 → lfE1uiHC → tZUNYSN4 → pCB1ulk8 → thaXOMF4 → pSE8niU8 → hfU1uSHG → tRO1uYV4 → tpA3sm74 → qoibKE87 → jgUGfSGE → VQP1uXWS → t862tqo4 → rpkfGC76 → liYOXOEC → ZUA8nmSO → fcB1ulKI → taNHeZM4 → pNEBkiZ8 → hZUBkSNG → ZRC1ukVO → tYB3slO4 → qoa9mM87 → jgdDiJGE → WUQJcWSR ⮌ |
| 13,961,007× | 4 nodes | ⮎ hIC2tkeG → rYRLaVO6 → lFA3smhC → pcZRUNK8 ⮌ | ||
| 3,494,642× | 8 nodes | ⮎ VQCAlkWS → bY62tqOM → rkF9mhC6 → ldYRUOJC → ZKA2tmcO → rcIAleK6 → lbMHeaLC → ZNGDigZO ⮌ | ||
| 9+ | - | - | - | Not showing digit sets 9+ due to verbosity. |