| 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 | 4 cycles | 5 nodes | ⮎ 4R → M9 → CJ → 6P → ID ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ FVG ⮌ |
| 4 | 4 cycles | 7 nodes | ⮎ 3VVS → S2S4 → QN76 → KFFC → 7VVO → O6O8 → IFFE ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ L9VLB → M9VLA → MBVJA → LAVKB ⮌ |
| 6 | 12 cycles | 24 nodes | ⮎ KE0UHC → U82SN2 → SQEG54 → OL1TA8 → SGAKF4 → OA0UL8 → UGAKF2 → SA0UL4 → UOAK72 → SH9LE4 → OC2SJ8 → QG6OF6 → KI0UDC → U84QN2 → SMEG94 → OD1TI8 → SG4QF4 → OM0U98 → UGCIF2 → S60UP4 → UOIC72 → SH5PE4 → OK2SB8 → QG8MF6 ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ NE6VOH9 → PF8VMG7 → OH6VOE8 → PG9VLF7 → OG5VPF8 → QH8VME6 → PI7VND7 → OI9VLD8 → NF7VNG9 → OE7VNH8 → OG8VMF8 → NG6VOF9 → PF7VNG7 → OI7VND8 → OG9VLF8 → NF5VPG9 → QG7VNF6 → PJ7VNC7 → OIAVKD8 ⮌ |
| 8 | 34 cycles | 10 nodes | ⮎ KE70UOHC → UH82SNE2 → SQF2SG54 → QOL0UA76 → UKHAKEB2 → SA92SML4 → QODAKI76 → KHA4QLEC → MB82SNKA → QFC8MJG6 ⮌ |
| 9 | 4 cycles | 7 nodes | ⮎ PJA3VRLC7 → SKF8VMGB4 → RKB4VQKB5 → RMF8VMG95 → QJD6VOIC6 → PKC5VPJB7 → QIE7VNHD6 ⮌ |
| 10 | 117 cycles | 10 nodes | ⮎ KJA10UULCC → UTB86ONK22 → SRIF8MGD44 → ONE50UQH88 → ULGF2SGFA2 → SQB10UUK54 → UTOL8MA722 → SRHEAKHE44 → ONA32SSL88 → QPGFAKGF66 ⮌ |
| 11 | 5 cycles | 12 nodes | ⮎ PJC72VSOJC7 → TLIC6VOJDA3 → SNE95VPMH84 → RNHE7VNHE85 → QKF92VSMGB6 → TMHB4VQKE93 → SPHB5VPKE64 → RNJE5VPHC85 → QMHB4VQKE96 → RKHB5VPKEB5 → QME95VPMH96 → QKGD7VNIFB6 ⮌ |