Base 19: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

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--
21 cycle 2 nodes⮎ 3F → B7 ⮌
31 cycle 2 nodes⮎ 8IA → 9I9 ⮌
44 cycles9 nodes⮎ 52FE → D896 → 70HC → H4D2 → F894 → B0H8 → H2F2 → FC54 → B6B8 ⮌
52 cycles4 nodes⮎ C5IC7 → D4ID6 → E6IB5 → D7IA6 ⮌
65 cycles6 nodes⮎ 531GFE → FC8964 → B60HC8 → H62FC2 → FD5C54 → B86BA8 ⮌
71 cycle 14 nodes⮎ E83IEA5 → F95IC94 → EA2IF85 → GA5IC83 → FB3IE74 → FB6IB74 → E93IE95 → F94ID94 → EB3IE75 → F96IB94 → E91IG95 → HB4ID72 → GD5IC53 → FB7IA74 ⮌
83 cycles5 nodes⮎ CA41GE87 → FA51GD84 → FB81GA74 → FB41GE74 → FBA3E874 ⮌
92 cycles2 nodes⮎ FB52IFD74 → GBA5IC873 ⮌
105 cycles10 nodes⮎ B761IIGCB8 → HC93IIE962 → GFB52FD733 → ECC83EA665 → B9661GCC98 → F662IIFCC4 → GE98II9943 → FE84IIDA44 → EEB62FC745 → DA963EC986 ⮌
112 cycles8 nodes⮎ FC861IGCA64 → HC963IEC962 → GE862IFCA43 → GDB83IEA753 → FD962IFC954 → GBA72IFB873 → GD842IFEA53 → GDB94ID9753 ⮌
126 cycles9 nodes⮎ ECCA61GC8665 → F96661GCCC94 → FB665IICCC74 → ED9650HDC955 → H9885IICAA92 → GD9410HHE953 → HGDA7IIA8522 → GGC94IID9623 → GFCA42FE8633 ⮌
132 cycles21 nodes⮎ FD9751IGDB954 → HCA861IGCA862 → HFA641IGEC832 → HFDB83IEA7532 → GEC962IFC9643 → GDB862IFCA753 → GDA752IFDB853 → GDA862IFCA853 → GDA741IGEB853 → HDC962IFC9652 → GFA762IFCB833 → GDC952IFD9653 → GDA872IFBA853 → GDA631IGFC853 → HDDA73IEB8552 → GE9862IFCA943 → GDB840IHEA753 → IEC962IFC9641 → HGB862IFCA722 → GFE952IFD9433 → GDCB93IE97653 ⮌
148 cycles5 nodes⮎ B666651GDCCCC8 → F866662FCCCCA4 → DB66661GCCCC76 → F766663ECCCCB4 → CA66663ECCCC87 ⮌
153 cycles63 nodes⮎ FD97531IGFDB954 → HDBA861IGCA8752 → HFB7531IGFDB732 → HFDCA63IEC86532 → GEC9763IECB9643 → FDA8651IGDCA854 → HCA8741IGEBA862 → HFC8531IGFDA632 → HFDCA73IEB86532 → GEC9752IFDB9643 → GDB9751IGDB9753 → HDB8641IGECA752 → HFC9752IFDB9632 → GFCA751IGDB8633 → HDDA752IFDB8552 → GFA8862IFCAA833 → GDC9421IGGE9653 → HEDC972IFB96542 → GFB9751IGDB9733 → HDDA641IGEC8552 → HFC9873IEBA9632 → GEC8530IHFDA643 → IEDB973IEB97541 → HFA9641IGEC9832 → HFDB840IHEA7532 → IFEB962IFC97431 → HGCB851IGDA7622 → HFEB752IFDB7432 → GFCB963IEC97633 → FDC8651IGDCA654 → HCA8763IECBA862 → GE86531IGFDCA43 → HDDB973IEB97552 → GE98641IGECA943 → HDCA840IHEA8652 → IFD9741IGEB9531 → HHDB961IGC97512 → HGFB751IGDB7322 → HFEDA63IEC85432 → GECA973IEB98643 → FDA8530IHFDA854 → IEBA851IGDA8741 → HHC9631IGFC9612 → HGFD962IFC95322 → GFECA72IFB86433 → GDCB852IFDA7653 → GDA8752IFDBA853 → GDA8631IGFCA853 → HDDA741IGEB8552 → HFC9862IFCA9632 → GFC9640IHEC9633 → IEDB862IFCA7541 → HGB9752IFDB9722 → GFEA641IGEC8433 → HDDBA83IEA87552 → GE98631IGFCA943 → HDDB840IHEA7552 → IFD9862IFCA9531 → HGCA740IHEB8622 → IFFC852IFDA6331 → HGCCA73IEB86622 → GFD8652IFDCA533 → GDCA873IEBA8653 ⮌
1611 cycles5 nodes⮎ B6666651GDCCCCC8 → F8666662FCCCCCA4 → DB666661GCCCCC76 → F7666663ECCCCCB4 → CA666663ECCCCC87 ⮌
174 cycles31 nodes⮎ FDC97541IGEDB9654 → HCB98751IGDBA9762 → HFB75430IHFEDB732 → IFECB963IEC976431 → HFCA8651IGDCA8632 → HFDA7641IGECB8532 → HFDB9752IFDB97532 → GFCA8641IGECA8633 → HDDB8641IGECA7552 → HFC98752IFDBA9632 → GFCA7530IHFDB8633 → IEDCA752IFDB86541 → HGB98752IFDBA9722 → GFEA6430IHFEC8433 → IEDCBA83IEA876541 → HFA97531IGFDB9832 → HFDCA630IHFC86532 → IFECA763IECB86431 → HFCA8652IFDCA8632 → GFCA7641IGECB8633 → HDDB8652IFDCA7552 → GFA88752IFDBAA833 → GDCA6321IGGFC8653 → HEDDA763IECB85542 → GEA98752IFDBA9843 → GDB96320IHGFC9753 → IFDDA751IGDB85531 → HHDA8862IFCAA8512 → HFFA7421IGGEB8332 → HFEDCB72IFB765432 → GFCB9753IEDB97633 ⮌
1817 cycles5 nodes⮎ B66666651GDCCCCCC8 → F86666662FCCCCCCA4 → DB6666661GCCCCCC76 → F76666663ECCCCCCB4 → CA6666663ECCCCCC87 ⮌