| 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 | 5 cycles | 12 nodes | ⮎ 0h → g1 → e3 → a7 → SF → CV → IP → 6b → UD → GR → AX → ML ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ LhM ⮌ |
| 4 | 2 cycles | 5 nodes | ⮎ C3dW → aJN8 → S3dG → aBV8 → SJNG ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ TDhTF → UDhTE → UFhRE → TEhSF ⮌ |
| 6 | 10 cycles | 29 nodes | ⮎ CA2eXW → cNJNK6 → W42edC → cZJN86 → WR3dGC → aKAWN8 → SM2eLG → cC0gV6 → gWIOB2 → eL5bM4 → aW0gB8 → gSKMF2 → eD1fU4 → eaGQ74 → aT9XE8 → SOESJG → EC4cVU → YJFROA → OC4cVK → YJ3dOA → aO4cJ8 → YS4cFA → YOCUJA → OI4cPK → Y73daA → aTNJE8 → SF3dSG → aDBVU8 → SKGQNG ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ WK9hXNC → YLBhVMA → XN9hXKB → YMChULA → XM8hYLB → ZNBhVK9 → YOAhWJA → XOChUJB → WLAhWMC → XKAhWNB → XMBhVLB → WM9hXLC → YLAhWMA → XOAhWJB → XMChULB → WL8hYMC → ZMAhWL9 → YPAhWIA → XODhTJB ⮌ |
| 8 | 4 cycles | 112 nodes | ⮎ CA74caXW → YTNJNKEA → OF42edSK → cZD3dU86 → aWRGQGB8 → SLB9XWMG → OLC0gVMK → gJ40gdO2 → geZ4c832 → ebYQG964 → aVP9XIC8 → SOJ6aOJG → UC54ccVE → YXJFROAA → ONC4cVKK → YJ42edOA → cZO4cJ86 → YWR4cGBA → YOLAWMJA → OM50gcLK → gX40gdA2 → geZMK832 → ebR1fG64 → eaVAWC74 → aTMIOLE8 → SF60gbSG → gVDBVUC2 → eKJGQON4 → aA52ecX8 → cXSMKFA6 → WND1fUKC → eKH2eQN4 → ca92eY76 → cWTOIEB6 → WLF5bSMC → WKD0gUNC → gKH2eQN2 → ec92eY54 → caXOIA76 → WTN5bKEC → WKF2eSNC → cKD2eUN6 → cWH2eQB6 → cWL8YMB6 → WQL0gMHC → gK90gYN2 → geP2eI32 → ecb6a654 → aXVTDCA8 → SNJFROKG → DB52ecWV → cXLHPMA6 → WN80gZKC → gRK2eNG2 → ecB2eW54 → caXKMA76 → WTN1fKEC → eKF2eSN4 → caD2eU76 → cWTGQEB6 → WLF9XSMC → OKD0gUNK → gH42edQ2 → ecZ8Y854 → aXRPHGA8 → SNB7ZWKG → SLC2eVMG → cJC0gVO6 → gWJ4cOB2 → eYL4cM94 → aYP0gI98 → gSP6aIF2 → eUD6aUD4 → aUHGQQD8 → SHA8YXQG → QNC8YVKI → QJ82eZOI → cR84cZG6 → YWRAWGBA → OMLAWMLK → M410ggdM → gfYhh822 → ffY6a923 → dcUOID55 → YXH5bQAA → WON8YKJC → QK52ecNI → cX82eZA6 → cWRMKGB6 → WLB1fWMC → eLK0gNM4 → ga30ge72 → gebSE632 → ebVDTC64 → aVJFROC8 → SJC4cVOG → YJC4cVOA → YOJ4cOJA → YO54ccJA → YXO4cJAA → YON4cKJA → YO52ecJA → cXO4cJA6 → YWN4cKBA → YOL2eMJA → cO50gcJ6 → gXW4cBA2 → eYNKMK94 → aP31feI8 → ebS6aF64 → aVUCUDC8 → SJIGQPOG ⮌ |
| 9 | 5 cycles | 23 nodes | ⮎ YQG6haRHA → bQI9hXPH7 → aSG7hZRF8 → aSKBhVNF8 → ZPG7hZRI9 → aQJ8hYOH8 → ZSH6haQF9 → bRKAhWNG7 → aRG6haRG8 → bSKAhWNF7 → aRH7hZQG8 → aSJ9hXOF8 → ZRI8hYPG9 → ZQI8hYPH9 → ZQH7hZQH9 → aQI8hYPH8 → ZSH7hZQF9 → aQKAhWNH8 → ZQF5hbSH9 → cSKAhWNF6 → bSH7hZQF7 → aUKAhWND8 → ZQJ9hXOH9 ⮌ |