Base 49: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits # Full Cycles
(excluding zero)
Max Cycle
Length
Longest Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles--
22 cycles10 nodes1l → j3 → f7 → XF → HV → DZ → LR → 5h → bB → PN
31 cycle 2 nodesNmP → OmO
414 cycles21 nodes90le → lUH2 → jCZ4 → fMP8 → X2jG → hGV6 → bEXC → PITO → B0lc → lQL2 → j4h4 → fc98 → XSJG → H8dW → VEXI → JCZU → NAbQ → R2jM → h4h6 → daBA → TONK
52 cycles4 nodesWFmWH → XEmXG → YGmVF → XHmUG
64 cycles70 nodesD91kda → jUMPI4 → fC2ja8 → hXNOF6 → bI0lUC → lPBaN2 → jP1kN4 → jf1k74 → jfXE74 → fYITE8 → XKAbSG → RH7eVM → XE4hYG → dKGVSA → TF7eXK → XI8dUG → VHBaVI → PECZYO → NK0lSQ → l82je2 → jhVG54 → fcEXA8 → XSITKG → HB7ebW → XQEXMG → JH3iVU → fEAbY8 → XRJSLG → H95gdW → bUEXIC → PJBaTO → PA0lcO → lS0lK2 → lj7e32 → jgWF64 → faGVC8 → XOEXOG → JGmmVU → WT0lJH → lF9cX2 → jTHUJ4 → fD9cZ8 → XTLQJG → HA4hcW → dSEXKA → TJ7eTK → XA8dcG → VSGVKI → FD7eZY → XMITQG → HB3ibW → fQEXM8 → XJ3iTG → fH9cV8 → XTDYJG → LH9cVS → TE6fYK → ZK8dSE → VL7eRI → XD5gZG → bMGVQC → PF3iXO → fI0lU8 → lXBaF2 → jPHUN4 → fD1kZ8 → jXLQF4 → fI4hU8 → dXBaFA → TPHUNK
73 cycles4 nodesZNAmbPE → cNBmaPB → bRCmZLC → aPDmYND
81 cycle 10 nodesLH81keVS → jWE6fYG4 → fZKFWSD8 → XMH7eVQG → XHE3iYVG → fKHDYVS8 → XLE7eYRG → XKH5gVSG → bHE7eYVC → XPKDYSNG
95 cycles23 nodescTI7meUJB → fTKAmbSJ8 → eVI8mdUH9 → eVMCmZQH9 → dSI8mdUKA → eTL9mcRJ9 → dVJ7meTHA → fUMBmaQI8 → eUI7meUI9 → fVMBmaQH8 → eUJ8mdTI9 → eVLAmbRH9 → dUK9mcSIA → dTK9mcSJA → dTJ8mdTJA → eTK9mcSJ9 → dVJ8mdTHA → eTMBmaQJ9 → dTH6mfVJA → gVMBmaQH7 → fVJ8mdTH8 → eXMBmaQF9 → dTLAmbRJA