| 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 |
| 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 | 4 nodes | ⮎ 1R → P3 → L7 → DF ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ DSF → ESE ⮌ |
| 4 | 7 cycles | 14 nodes | ⮎ 74NM → JEDA → 90RK → RAH2 → P6L4 → LED8 → D0RG → R2P2 → PM54 → LGB8 → D4NG → J2PA → N8J6 → HAHC ⮌ |
| 5 | 1 cycle | 4 nodes | ⮎ J8SJA → K8SJ9 → KASH9 → J9SIA ⮌ |
| 6 | 3 cycles | 56 nodes | ⮎ 940ROK → RKAH82 → PC6LG4 → LF3OD8 → LD1QF8 → PD1QF4 → PL1Q74 → PLDE74 → LE0RE8 → RCSSF2 → QGBGC3 → N53ON6 → LIGBA8 → D84NKG → JC2PGA → N93OJ6 → LH9IB8 → D95MJG → HA2PIC → N84NK6 → JHBGBA → 964NMK → JGAHCA → 973OLK → LEAHE8 → D6SSLG → MF4ND7 → JF1QDA → P91QJ4 → PL9I74 → LE8JE8 → DASSHG → IF0RDB → R71QL2 → QODE43 → NK0R86 → RHBGB2 → P64NM4 → LJFC98 → DA2PIG → N82PK6 → NHBGB6 → H64NMC → JG4NCA → J93OJA → LA8JI8 → DB7KHG → D62PMG → NG2PC6 → NH3OB6 → LH5MB8 → HD5MFC → H51QNC → PI4NA4 → LJ7K98 → EC9IGF ⮌ |
| 7 | 3 cycles | 4 nodes | ⮎ KD5SMF9 → ND6SLF6 → MH7SKB7 → LF8SJD8 ⮌ |
| 8 | 3 cycles | 16 nodes | ⮎ L541QON8 → PKICFA84 → LC82PKG8 → NDC3OGF6 → LH41QOB8 → PKD5MF84 → LHC1QGB8 → PD63OMF4 → MKG1QC87 → PFC3OGD4 → MK41QO87 → PKFBGD84 → LC51QNG8 → PID3OFA4 → MK81QK87 → PFCBGGD4 ⮌ |
| 9 | 5 cycles | 13 nodes | ⮎ NH92SPJB6 → QJE7SKE93 → PJB4SNH94 → OLE7SKE75 → NHE5SMEB6 → NHB2SPHB6 → QJC5SMG93 → PLD6SLF74 → OJE7SKE95 → NHB4SNHB6 → OHC5SMGB5 → NJB4SNH96 → OHE7SKEB5 ⮌ |
| 10 | 5 cycles | 22 nodes | ⮎ L5441QOON8 → PKKICFA884 → LCC82PKGG8 → NDC43OOGF6 → LKH41QOB88 → PKDC5MGF84 → LHC41QOGB8 → PKD63OMF84 → MKGC1QGC87 → PFC43OOGD4 → MKK41QO887 → PKFCBGGD84 → LC541QONG8 → PKID3OFA84 → MKC81QKG87 → PFCC3OGGD4 → MK441QOO87 → PKKFBGD884 → LCC51QNGG8 → PID43OOFA4 → MKK81QK887 → PFCCBGGGD4 ⮌ |
| 11 | 1 cycle | 62 nodes | ⮎ MHC94SNJGB7 → OGD84SNKFC5 → OJF82SPKD95 → QKGB5SMHC83 → PLE94SNJE74 → OLGC4SNGC75 → OJG93SOJC95 → PJFA6SLID94 → OJC94SNJG95 → OJEA6SLIE95 → NIC93SOJGA6 → PIE95SMJEA4 → OKD93SOJF85 → PJGB5SMHC94 → OKD84SNKF85 → OJFC6SLGD95 → NIC72SPLGA6 → QJGB5SMHC93 → PLD84SNKF74 → OLGD6SLFC75 → NIE92SPJEA6 → QJE93SOJE93 → PNFA4SNID54 → OLID4SNFA75 → OJGB4SNHC95 → OJE84SNKE95 → OJFB4SNHD95 → OJE83SOKE95 → PJGB4SNHC94 → OLE84SNKE75 → OJGD5SMFC95 → NJD72SPLF96 → QJGC5SMGC93 → PLD73SOLF74 → PLHE7SKEB74 → OIE92SPJEA5 → QKF93SOJD83 → PNGB5SMHC54 → OKIB4SNHA85 → OJFA6SLID95 → NIC94SNJGA6 → OHE95SMJEB5 → NJD82SPKF96 → QJFB5SMHD93 → PLD83SOKF74 → PLHD6SLFB74 → OJEA3SOIE95 → PJF93SOJD94 → PLFA5SMID74 → OKFB4SNHD85 → OJF93SOJD95 → PJFA5SMID94 → OKD94SNJF85 → OJFB5SMHD95 → NJD83SOKF96 → PIFB5SMHDA4 → OKC73SOLG85 → PJHD7SKFB94 → OIB83SOKHA5 → PJGA6SLIC94 → OJC95SMJG95 → NJDA6SLIF96 ⮌ |
| 12 | 3 cycles | 28 nodes | ⮎ L54441QOOON8 → PKKKICFA8884 → LCCC82PKGGG8 → NDC443OOOGF6 → LKKH41QOB888 → PKDCC5MGGF84 → LHC441QOOGB8 → PKKD63OMF884 → MKGCC1QGGC87 → PFC443OOOGD4 → MKKK41QO8887 → PKFCCBGGGD84 → LC5441QOONG8 → PKKID3OFA884 → MKCC81QKGG87 → PFCC43OOGGD4 → MKK441QOO887 → PKKFCBGGD884 → LCC541QONGG8 → PKID43OOFA84 → MKKC81QKG887 → PFCCC3OGGGD4 → MK4441QOOO87 → PKKKFBGD8884 → LCCC51QNGGG8 → PID443OOOFA4 → MKKK81QK8887 → PFCCCBGGGGD4 ⮌ |