| 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 | 5 nodes | ⮎ 4P → K9 → AJ → 8L → CH ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ ETF ⮌ |
| 4 | 7 cycles | 4 nodes | ⮎ A1RK → Q9J4 → M9J8 → E9JG ⮌ |
| 5 | 2 cycles | 2 nodes | ⮎ FDTFF → FTTTE ⮌ |
| 6 | 8 cycles | 47 nodes | ⮎ 750SON → SJFDA2 → Q91RK4 → QMAI74 → MF7LE8 → FD0SGF → S2TTQ2 → RR1R23 → QPN544 → MLHB88 → ED5NGG → I31RQC → QN5N64 → MIGCB8 → E73PMG → MF1RE8 → QE0SF4 → SM0S72 → SQEE32 → QMTT64 → PN3P65 → MKGC98 → EB3PIG → M71RM8 → QFDFE4 → M20SR8 → SPDF42 → QL1R84 → QMCG74 → MF3PE8 → ME0SF8 → SE0SF2 → SQ0S32 → SQM632 → QNFD64 → MH1RC8 → QE4OF4 → MK0S98 → SEAIF2 → Q80SL4 → SMCG72 → QF3PE4 → NL0S87 → SGCGD2 → Q42QP4 → OMK876 → IFBHEC ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ ME5TNF8 → OF7TLE6 → NH6TMC7 → NG9TJD7 ⮌ |
| 8 | 4 cycles | 10 nodes | ⮎ MKJ0SA98 → SEB8KIF2 → QC70SMH4 → SMF4OE72 → QKF0SE94 → SMB0SI72 → SQF6ME32 → QNG0SD64 → SMH2QC72 → QOF4OE54 ⮌ |
| 9 | 3 cycles | 6 nodes | ⮎ NID5TNGB7 → OGC4TOHD6 → PIC3TPHB5 → QKE5TNF94 → PLE5TNF85 → OKF6TME96 ⮌ |
| 10 | 5 cycles | 90 nodes | ⮎ MKB10SSI98 → SREB6MIF22 → QPG70SMD44 → SMLF2QE872 → QOFD0SGE54 → SMJ30SQA72 → SQNF8KE632 → QNHC0SHC64 → SMH54OOC72 → QKJF4OEA94 → MKB90SKI98 → SEBB6MIIF2 → QG770SMMD4 → SMFF2QEE72 → QOF10SSE54 → SRMJ0SA722 → SQPF8KE432 → QNLC0SH864 → SMHD4OGC72 → QKF52QOE94 → OMJB0SIA76 → SIF96MKEB2 → QGB70SMID4 → SMF72QME72 → QOFF0SEE54 → SMJ10SSA72 → SRQF8KE322 → QPNC0SH644 → SMLH4OC872 → QKFD4OGE94 → MKB30SQI98 → SNEB6MIF62 → QHG70SMDC4 → SMF52QOE72 → QOJF0SEA54 → SMJ90SKA72 → SQFB8KIE32 → QNC70SMH64 → SMHF4OEC72 → QKF50SOE94 → SMJB0SIA72 → SQF96MKE32 → QNGB0SID64 → SMH72QMC72 → QOFF4OEE54 → MKJ10SSA98 → SREB8KIF22 → QPC70SMH44 → SMLF4OE872 → QKFD0SGE94 → SMB30SQI72 → SQNF6ME632 → QNHG0SDC64 → SMH52QOC72 → QOJF4OEA54 → MKJ90SKA98 → SEBB8KIIF2 → QC770SMMH4 → SMFF4OEE72 → QKF10SSE94 → SRMB0SI722 → SQPF6ME432 → QNLG0SD864 → SMHD2QGC72 → QOF52QOE54 → OMJJ0SAA76 → SIF98KKEB2 → QCB70SMIH4 → SMF74OME72 → QKFF0SEE94 → SMB10SSI72 → SRQF6ME322 → QPNG0SD644 → SMLH2QC872 → QOFD4OGE54 → MKJ30SQA98 → SNEB8KIF62 → QHC70SMHC4 → SMF54OOE72 → QKJF0SEA94 → SMB90SKI72 → SQFB6MIE32 → QNG70SMD64 → SMHF2QEC72 → QOF50SOE54 → SMJJ0SAA72 → SQF98KKE32 → QNCB0SIH64 → SMH74OMC72 → QKFF4OEE94 ⮌ |
| 11 | 4 cycles | 25 nodes | ⮎ OIEA4TOJFB6 → PIE83TPLFB5 → QKHA3TPJC94 → QMGA6TMJD74 → PKFC5TNHE95 → OKE82TQLF96 → RKGC5TNHD93 → QME83TPLF74 → QMIE6TMFB74 → PKFB3TPIE95 → QKG93TPKD94 → QMGB6TMID74 → PKFB4TOIE95 → PKF93TPKE95 → QKGB5TNID94 → PLE94TOKF85 → PKGC5TNHD95 → OKE83TPLF96 → QJGC5TNHDA4 → PLD73TPMG85 → QKIE7TLFB94 → PJC93TPKHA5 → QKGA6TMJD94 → PKDA5TNJG95 → OKEA5TNJF96 ⮌ |
| 12 | 6 cycles | 70 nodes | ⮎ MKB910SSKI98 → SREBB6MIIF22 → QPG770SMMD44 → SMLFF2QEE872 → QOFD10SSGE54 → SRMJ30SQA722 → SQPNF8KE6432 → QNLHC0SHC864 → SMHD54OOGC72 → QKJF52QOEA94 → OMJB90SKIA76 → SIFB96MKIEB2 → QGB770SMMID4 → SMFF72QMEE72 → QOFF10SSEE54 → SRMJ10SSA722 → SRQPF8KE4322 → QPNLC0SH8644 → SMLHD4OGC872 → QKFD52QOGE94 → OMJB30SQIA76 → SNIF96MKEB62 → QHGB70SMIDC4 → SMF752QOME72 → QOJFF0SEEA54 → SMJ910SSKA72 → SRQFB8KIE322 → QPNC70SMH644 → SMLHF4OEC872 → QKFD50SOGE94 → SMJB30SQIA72 → SQNF96MKE632 → QNHGB0SIDC64 → SMH752QOMC72 → QOJFF4OEEA54 → MKJ910SSKA98 → SREBB8KIIF22 → QPC770SMMH44 → SMLFF4OEE872 → QKFD10SSGE94 → SRMB30SQI722 → SQPNF6ME6432 → QNLHG0SDC864 → SMHD52QOGC72 → QOJF52QOEA54 → OMJJ90SKAA76 → SIFB98KKIEB2 → QCB770SMMIH4 → SMFF74OMEE72 → QKFF10SSEE94 → SRMB10SSI722 → SRQPF6ME4322 → QPNLG0SD8644 → SMLHD2QGC872 → QOFD52QOGE54 → OMJJ30SQAA76 → SNIF98KKEB62 → QHCB70SMIHC4 → SMF754OOME72 → QKJFF0SEEA94 → SMB910SSKI72 → SRQFB6MIE322 → QPNG70SMD644 → SMLHF2QEC872 → QOFD50SOGE54 → SMJJ30SQAA72 → SQNF98KKE632 → QNHCB0SIHC64 → SMH754OOMC72 → QKJFF4OEEA94 ⮌ |