| 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 | 3 cycles | 7 nodes | ⮎ 6Z → SD → ER → CT → GP → 8X → OH ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ KfL ⮌ |
| 4 | 9 cycles | 6 nodes | ⮎ E1dS → cDR4 → YDR8 → QDRG → E9VS → MDRK ⮌ |
| 5 | 2 cycles | 2 nodes | ⮎ LJfLL → LfffK ⮌ |
| 6 | 6 cycles | 43 nodes | ⮎ CA2cVU → aLHNK6 → U60eZC → eTHNC2 → cH5ZO4 → YU6YB8 → SQIMFE → EB3bUS → YJDRM8 → QE2cRG → aD9VS6 → UMEQJC → IC2cTO → aH5ZO6 → VT6YCB → SKGOLE → E80eXS → ePDRG2 → cE8WR4 → YOCSH8 → QG6YPG → SA8WVE → OLDRKI → E60eZS → eTDRC2 → cHDRO4 → YE6YR8 → SQCSFE → GEAURQ → KD9VSM → MF1dQK → cB1dU4 → cYIM74 → YR3bE8 → YQCSF8 → QGAUPG → KA8WVM → OL1dKI → c60eZ4 → eYSC72 → cRFPE4 → YD9VS8 → QMEQJG ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ VK8fWLB → XLAfUK9 → WN9fVIA → WMCfSJA ⮌ |
| 8 | 6 cycles | 144 nodes | ⮎ ECB0eUTS → eJHDROM2 → cE72cYR4 → aYRCSE76 → URGCSPEC → IGD8WSPO → OF95ZWQI → UNB5ZUIC → UJI4aNMC → WI52caNA → aVM4aJA6 → WUL2cKBA → aMJ0eMJ6 → eU32ccB2 → caZIM654 → YVT3bCA8 → YQLGOKF8 → QB80eXUG → ePJ9VMG2 → cM92cWJ4 → aYN2cI76 → aUR4aEB6 → WUJCSMBA → MJG2cPMK → a931dcW6 → cZUMIB64 → YTJ3bMC8 → YQH2cOF8 → aQB6YUF6 → USJAUMDC → KIF2cQNM → aB51daU6 → cVUIMBA4 → YLJ3bMK8 → YQ30ecF8 → eZQAUF62 → cTKAULC4 → YKH0eOL8 → eQ70eYF2 → ecRAUE32 → cZKCSL64 → YTG0ePC8 → eQH8WOF2 → cOB6YUH4 → YSJ6YMD8 → SQF2cQFE → aEBAUUR6 → UKJCSMLC → IG30ecPO → eZ95ZW62 → cUTMICB4 → YJH3bOM8 → YQ72cYF8 → aRQAUFE6 → UKDAUSLC → KIF0eQNM → eB51daU2 → dbVIMA43 → aXL3bK86 → YUP0eGB8 → eQJ8WMF2 → cOB2cUH4 → aYJ6YM76 → USR2cEDC → aIFCSQN6 → UGB4aUPC → WJI8WNMA → OM52caJI → aV62cZA6 → aUTKKCB6 → UJGffOMC → TPB1dUGD → cJG8WPM4 → YO92cWH8 → aQN6YIF6 → USB4aUDC → WJIEQNMA → MC52caTK → aVH1dOA6 → cUL6YKB4 → YSJ0eMD8 → eQF2cQF2 → caBAUU54 → YVKIMLA8 → QL40ebKG → eXA0eV82 → ecPKKG32 → cZ8ffW64 → bZU2cB65 → aWTIMC96 → UNH3bOIC → YI74aYN8 → WRQ4aFEA → WMDAUSJA → MKF2cQLK → aB20edU6 → ebUIMB42 → cXJ3bM84 → ZXP2cG87 → aSP8WGD6 → UOF8WQHC → OIB6YUNI → SJ64aZME → WTE2cRCA → aMHCSOJ6 → UG72cYPC → aRI8WNE6 → UOD4aSHC → WIF6YQNA → SMB4aUJE → WJE2cRMA → aMD2cSJ6 → aUF2cQB6 → aUJAUMB6 → UKJ2cMLC → aI30ecN6 → eZU4aB62 → cWTIMC94 → YNH3bOI8 → YQ74aYF8 → WRQAUFEA → MKDAUSLK → KF20edQM → ebB1dU42 → dbXIM843 → aXP3bG86 → YUP8WGB8 → QOJ8WMHG → OA72cYVI → aRL5ZKE6 → VTD0eSCB → eKHEQOL2 → cC70eYT4 → eYRGOE72 → cRD7XSE4 → YQFCSQF8 → QGBAUUPG → KJA8WVMM → OL31dcKI → cZ60eZ64 → eYTSCC72 → cRHFPOE4 → YDA6YVS8 → SQLEQKFE ⮌ |
| 9 | 6 cycles | 14 nodes | ⮎ WOE6fYRHA → ZOI9fVNH7 → YQE5fZRF8 → aRKBfTLE6 → ZPF6fYQG7 → ZSJ9fVMD7 → YQI8fWNF8 → XQH7fXOF9 → YOI8fWNH8 → XQF5fZQF9 → aQIAfUNF6 → ZQF7fXQF7 → YSIAfUND8 → XOH9fVOH9 ⮌ |