| 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 |
| 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) |
Max Cycle Length |
Longest Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|
| 1 | 0 cycles | - | - |
| 2 | 1 cycle | 23 nodes | ⮎ 0j → i1 → g3 → c7 → UF → EV → GT → CX → KP → 4f → a9 → QJ → 6d → WD → IR → 8b → SH → AZ → OL → 2h → e5 → YB → MN ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ MjN ⮌ |
| 4 | 5 cycles | 11 nodes | ⮎ A5da → YPJC → M5dO → Y1hC → gLN4 → c1h8 → gTF4 → cDV8 → UHRG → E9ZW → QHRK ⮌ |
| 5 | 3 cycles | 4 nodes | ⮎ UEjUG → VDjVF → WFjTE → VGjSF ⮌ |
| 6 | 2 cycles | 61 nodes | ⮎ A31hga → gdPJ64 → cX5dC8 → YUKOFC → MF3fUO → cF1hU8 → gUEUF4 → cGEUT8 → UGCWTG → KECWVQ → KH5dSQ → YB5dYC → YNLNMC → M20ihO → if1h42 → hfa843 → ebRH86 → YT9ZGC → QMCWNK → K60idQ → iX5dC2 → gYKOB4 → cN3fM8 → cU0iF8 → iUEUF2 → gGEUT4 → cGCWT8 → UKCWPG → KE4eVQ → aH5dSA → YQAYJC → OM6cNM → W20ihE → ifHR42 → gb9Z84 → cTPJG8 → UD5dWG → YJDVQC → MI6cRO → W91haE → gRHRI4 → cA8aZ8 → USOKHG → EB3fYW → cNHRM8 → UA0iZG → iPDVK2 → gI4eR4 → ca8a98 → USQIHG → EB7bYW → UNHRMG → EA0iZW → iPHRK2 → gA4eZ4 → caOK98 → UR3fIG → cE8aV8 → USGSHG → ECAYXW → OLHROM ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ YM9jZNC → aNBjXMA → ZPAjYKB → ZODjVLB ⮌ |
| 8 | 2 cycles | 240 nodes | ⮎ E872gcbW → eVTHRGE6 → YHD9ZWSC → QMJAYQNK → O760idcM → iXV1hEC2 → hfLGSO43 → ebC2gX86 → eYTKOGB6 → YND3fWMC → cMJ0iQN8 → iU70icF2 → igVEUE32 → gdHFTS64 → cXEAYVC8 → UOLGSOLG → EC32ggXW → edLHRO66 → YXA2gZCC → ePMKONK6 → Y540ifeC → ibZLNA82 → gTP1hKG4 → gcD4eW74 → caVIQE98 → URH7bSIG → UEB8aYVG → SNHDVSMI → IBA0iZYS → iPN9ZMK2 → gQ50ieJ4 → icZ6cA72 → gWVOKED4 → cJH3fSQ8 → cUB6cYF8 → WUNEUMFE → IGF0iUTS → iFD9ZWU2 → gQJEUQJ4 → cG76ccT8 → WVUCWFEE → KIHEUSRQ → GB95daYU → YRNDVMIC → MI90iaRO → iR91haI2 → hfR8aI43 → ebS8aH86 → YTSAYHGC → OMDAYWNM → OJ20ihQM → if71hc42 → hfbUE843 → ebTFTG86 → YTECWVGC → MKHCWSPO → KB51heYQ → gZN5dMA4 → cYP0iKB8 → iUN4eMF2 → gaF0iU94 → icREUI72 → gVG8aTE4 → cSHCWSH8 → UKBAYYPG → ONE4eVMM → aH20ihSA → ifQAYJ42 → gbO6cL84 → cWT2gGD8 → eUJCWQF6 → YKF6cUPC → WMF4eUNE → aIF0iURA → iQF8aUJ2 → gSF6cUH4 → cWFAYUD8 → UOJEUQLG → GE72gcVU → eVHDVSE6 → YIHAYSRC → OMB8aYNM → SN20ihMI → ifA0iZ42 → igbOK832 → gdT3fG64 → dbXCWC87 → WTLJPOGE → ID62gdWS → eXJ9ZQC6 → YQL6cOJC → WM72gcNE → eVI0iRE6 → iYH8aSB2 → gSNAYMH4 → cOB0iYL8 → iUN2gMF2 → geF0iU54 → icZEUA72 → gVPFTKE4 → cHE4eVS8 → aUHAYSFA → QOFAYULK → OF62gdUM → eXF1hUC6 → gYLEUOB4 → cNG2gTM8 → eUD0iWF6 → iYJEUQB2 → gNG6cTM4 → cWD0iWD8 → iUJIQQF2 → gF86cbU4 → cWTEUGD8 → UJGCWTQG → KED6cWVQ → WJH5dSQE → YIB6cYRC → WNM8aNME → SI10iiRI → ihA8aZ22 → gfSOKH44 → cbB3fY88 → cUTMMGF8 → UFCjjWUG → XUFjjTFD → WUI0iRFE → iIF8aUR2 → gSF8aUH4 → cSFAYUH8 → UOFAYULG → OFE2gVUM → eHF1hUS6 → gYFAYUB4 → cONEUML8 → UG30igTG → idECWV62 → gXKGSPC4 → cLC4eXO8 → aUL2gOFA → eQF2gUJ6 → eYF6cUB6 → YWNEUMDC → MJG0iTQO → iD71hcW2 → hfVIQE43 → ebH7bS86 → YUTAYGFC → OMFCWUNM → KF20ihUQ → ifF5dU42 → gbYEUB84 → cTNFTMG8 → UED0iWVG → iJHDVSQ2 → gIB6cYR4 → cWN8aMD8 → USJ0iQHG → iEB6cYV2 → gWNGSMD4 → cJC0iXQ8 → iUL6cOF2 → gWF2gUD4 → ecJEUQ76 → YVG6cTEC → WMHCWSNE → KIB0iYRQ → iN95daM2 → gYR0iIB4 → icN8aM72 → gVS0iHE4 → icHAYS72 → gVOAYLE4 → cOH2gSL8 → eUB2gYF6 → eYNEUMB6 → YNG0iTMC → iMD0iWN2 → igJ0iQ32 → igd6c632 → gdXVDC64 → cXLHROC8 → ULA2gZOG → ePE2gVK6 → eYH4eSB6 → aYNAYMBA → QON0iMLK → i630igd2 → igdWC632 → gdXJPC64 → cXL5dOC8 → YUL2gOFC → eMF2gUN6 → eYF0iUB6 → iYNEUMB2 → gNG0iTM4 → icD0iW72 → igVIQE32 → gdH7bS64 → cXUAYFC8 → UOLEUOLG → GE32ggVU → edHDVS66 → YXIAYRCC → OML8aONM → S320ihgI → ifd9Z642 → gbXPJC84 → cTL5dOG8 → YUD2gWFC → eMJEUQN6 → YG70icTC → iVMCWNE2 → gKH0iSP4 → icB4eY72 → gaVMME94 → cRGjjSI8 → bTK0iPG9 → iSD4eWH2 → gaJAYQ94 → cRO6cLI8 → WU92gaFE → eRIEURI6 → YG98aaTC → SRMCWNII → KA90iaZQ → iRP5dKI2 → gY94eaB4 → caRMMI98 → UR8jjaIG → bTI2gRG9 → eSD8aWH6 → YSJAYQHC → OMB6cYNM → WN20ihME → ifI0iR42 → igb8a832 → gdTRHG64 → cXD9ZWC8 → UQLIQOJG ⮌ |
| 9 | 6 cycles | 9 nodes | ⮎ aSG6jcTHA → dSKBjXPH7 → cSG7jbTH8 → cULBjXOF8 → bRI8jaRI9 → bSI8jaRH9 → bSJ9jZQH9 → aSI8jaRHA → bQJ9jZQJ9 ⮌ |