| 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 | 2 cycles | 10 nodes | ⮎ 2b → Y5 → SB → GN → 6X → QD → CR → EP → AT → IL ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ JdK ⮌ |
| 4 | 1 cycle | (fixed) 1 node | ⮎ O7VG ⮌ |
| 5 | 3 cycles | 4 nodes | ⮎ QCdQE → RBdRD → SDdPC → REdOD ⮌ |
| 6 | 5 cycles | 33 nodes | ⮎ E86WVQ → QNBRGE → GC6WRO → QF7VOE → OC8URG → MF7VOI → O93ZUG → WL7VI8 → PN2aGF → YA6WT6 → SQIKDC → GD1bQO → aD7VQ4 → WOCQF8 → OE8UPG → MB7VSI → OH3ZMG → W84YV8 → UOMGFA → K95XUK → SKddIC → RL7VID → OE2aPG → YB7VS6 → SOGMFC → G95XUO → SL7VIC → OG2aNG → Y86WV6 → SQMGDC → GD5XQO → SD7VQC → OGCQNG ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ TI8dULB → VJAdSK9 → UL8dUIA → VKBdRJ9 → UK7dVJA → WLAdSI8 → VM9dTH9 → UMBdRHA → TJ9dTKB → UI9dTLA → UKAdSJA → TK8dUJB → VJ9dTK9 → UM9dTHA → UKBdRJA → TJ7dVKB → WK9dTJ8 → VN9dTG9 → UMCdQHA ⮌ |
| 8 | 4 cycles | 117 nodes | ⮎ E940cZUQ → cVLBRI82 → aNG2aNG4 → YW76WW76 → SQPOEEDC → GDB9TSQO → KHD7VQMK → OD4ddYQG → ZQI1bLD5 → aUD2aQ94 → YWLCQI76 → SPE2aPEC → YGBASSN6 → SIH6WMLC → QG52aYNE → YTC6WRA6 → SQJEOKDC → GDA0cTQO → cJD7VQK2 → aOD0cQF4 → cWD8UQ72 → aPMCQHE4 → WEB4YSP8 → UOHASMFA → KI94YULK → UL2ddaIA → bTI8ULA3 → YMJ2aKH6 → YS50cYB6 → cTSGMBA2 → aJH5XMK4 → WS50cYB8 → cTOGMFA2 → aJ95XUK4 → WSL0cIB8 → cOH2aMF2 → aY94YU54 → WUTKIA98 → OLJ1bKIG → a830caV4 → cXWMG762 → aRP5XEC4 → WSFASOB8 → OIH8UMLG → M852aYVI → YTN3ZGA6 → WSJ6WKB8 → QOH0cMFE → cC94YUR2 → aULEOI94 → WLA2aTI8 → YOJ2aKF6 → YS90cUB6 → cSLGMIB2 → aH62aXM4 → YWR4YC76 → USPEOEBA → KHB9TSMK → KH4ddYMK → ZME1bPH5 → aUB4YS94 → WULGMI98 → OL62aXIG → YR82aVC6 → YSNEOGB6 → SHA6WTMC → QJG4YNKE → UC70cWRA → cPKEOJE2 → aBA0cTS4 → cWJGMK72 → aP60cXE4 → cWRASC72 → aPIEOLE4 → WBA2aTS8 → YOJGMKF6 → S960cXUC → cRLFNIC2 → aF82aVO4 → YWN8UG76 → SPM6WHEC → QGB4YSNE → UHC6WRMA → QKF4YOJE → UC90cURA → cLKEOJI2 → aA30caT4 → cXWIK762 → aRP1bEC4 → aWFASO74 → WPI8ULE8 → OMB2aSHG → YH84YVM6 → USN4YGBA → UKH6WMJA → QK50cYJE → cTC0cRA2 → caJEOK32 → aXA0cT64 → cWRIKC72 → aPF1bOE4 → aWB8US74 → WPMGMHE8 → OB64YXSG → URH7VMCA → OKF4YOJG → U980cVUA → cNLJJIG2 → a72ddaW4 → bZT3ZA43 → YWVIK876 → SPN1bGEC → aGB6WSN4 → WQH6WMD8 → QOD4YQFE → UDC8URQA → MKFCQOJI ⮌ |
| 9 | 4 cycles | 21 nodes | ⮎ VOF6dWOF9 → XNG8dUNG7 → WPE6dWPE8 → XOIAdSLF7 → WND5dXQG8 → YPJ9dTKE6 → XPF5dXOE7 → YQJ9dTKD6 → XPG6dWNE7 → XQI8dULD7 → WPH7dVME8 → WOH7dVMF8 → WOG6dWNF8 → XOH7dVMF7 → WQG6dWND8 → XOJ9dTKF7 → WOE4dYPF8 → ZQI9dTLD5 → YQG7dVND6 → XRI9dTLC7 → WOH8dUMF8 ⮌ |
| 10 | 6 cycles | 103 nodes | ⮎ C9830caVUS → cXNLFNIG62 → aR872aWVC4 → YWPNEOGE76 → SPBA6WTSEC → QJHGASNMKE → IC750cYWRM → cTPF3ZOEA2 → aWJB8USK74 → WPMH0cMHE8 → cOB54YYSF2 → aUTH8UMA94 → WMLJ4YKIH8 → UO530caYFA → cXTK8UJA62 → aRMJ0cKHC4 → cWF50cYO72 → caTP8UEA32 → aXMJASKH64 → WRI50cYLC8 → cTOF2aOFA2 → aYJ98UUK54 → WTML0cIHA8 → cOJ52aYKF2 → aYT90cUA54 → cWTLIKIA72 → aPJ31baKE4 → aXWB0cS764 → cWRPGMEC72 → aPFB5XSOE4 → WSHB8USMB8 → OMHH4YMMHG → U8554YYYVA → UTTNJJGAAA → KJJ6ddWKKK → XKCddddQJ7 → WRKJ6WKJC8 → QOF10ccOFE → cbC98UUR22 → aZMLEOIH44 → WVA52aYT88 → YTONIKGFA6 → SJ971bWUKC → aPLG0cNIE4 → cWB72aWS72 → aYPPGMEE54 → WTBB5XSSA8 → SOJHGMMKFC → G9650cYXUO → cTRL7VICA2 → aOJF2aOKF4 → YW990cUU76 → cSPLKIIEB2 → aHB31baSM4 → aXWH4YM764 → WURP4YEC98 → UOLFASOIFA → KI992aUULK → YLL2ddaII6 → bXIFddNL63 → aXMF1bOH64 → aWR94YUC74 → WUPLEOIE98 → OLBA2aTSIG → YJH82aVMK6 → YSN50cYGB6 → cTSH6WMBA2 → aQJH4YMKD4 → WUD50cYQ98 → cTOLCQIFA2 → aJE92aUPK4 → YWLB0cSI76 → cSPH2aMEB2 → aYHB4YSM54 → WUTH4YMA98 → UOLJ4YKIFA → UK930caUJA → cXLK0cJI62 → caR30caC32 → caXXEO6632 → aXRR9TCC64 → WRKFEOOJC8 → OFA90cUTOG → cLJ97VUKI2 → aOL30caIF4 → cXW92aU762 → aYRPKIEC54 → WTFB1bSOA8 → aOJH8UMKF4 → WM950cYUH8 → cTOL4YIFA2 → aUJ92aUK94 → YWLL0cII76 → cSP32aaEB2 → aYXHASM654 → WTRI4YLCA8 → UOJF2aOKFA → YK990cUUJ6 → cSLL0cIIB2 → caH32aaM32 → aYXX4Y6654 → WUTRQCCA98 → OLJFDPOKIG ⮌ |