Base 17: 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--
22 cycles3 nodes⮎ 1F → D3 → 97 ⮌
31 cycle 2 nodes⮎ 7G9 → 8G8 ⮌
48 cycles4 nodes⮎ 92D8 → B0F6 → F4B2 → D694 ⮌
51 cycle 4 nodes⮎ B4GB6 → C4GB5 → C6G95 → B5GA6 ⮌
61 cycle (fixed) 1 node ⮎ D91E74 ⮌
73 cycles4 nodes⮎ B72GD96 → E73GC93 → DB4GB54 → C95GA75 ⮌
83 cycles5 nodes⮎ A940FC77 → F831ED82 → EC9GG643 → DC82D844 → B97GG876 ⮌
93 cycles7 nodes⮎ C963GCA75 → D762GDA94 → E972GD973 → EB61GEA53 → FB94GB752 → EB63GCA53 → DB74GB954 ⮌
101 cycle 24 nodes⮎ 6441GGECCB → FCA60FA642 → FD843CC832 → DA97GG8764 → CA630FDA65 → FA743CC962 → D9841EC874 → D981GGE874 → FC750FB942 → FD861EA832 → ECA3GGC643 → DDA61EA634 → DA943CC764 → A8841EC887 → D82GGGGD84 → EC87GG8843 → DC73GGC944 → DC952DB744 → B9861EA876 → D541GGECB4 → FCA80F8642 → FD83GGC832 → EDC53CB433 → BA985A8766 ⮌
112 cycles18 nodes⮎ D9740GFC974 → GB951GEB751 → FF963GCA712 → FDC62GDA432 → EDA95GA7633 → DB842GDC854 → E9972GD9773 → EB621GEEA53 → FCB94GB7542 → EB863GCA853 → DB751GEB954 → FA863GCA862 → EC641GECA43 → FBA85GA8652 → EA641GECA63 → FBA63GCA652 → EC753GCB943 → DB873GC9854 ⮌
121 cycle 31 nodes⮎ 9842GGGGDC88 → EC8852DB8843 → CA85GGGGA865 → BBA83GGC8656 → DB6531EDBA54 → DA9663CAA764 → A84441ECCC87 → D8882GGD8884 → EC54GGGGBB43 → DCCB30FD5444 → FA9885A88762 → D541GGGGECB4 → FCCB30FD5442 → FDA885A88632 → DA53GGGGCB64 → DCBA30FD6544 → FA9863CA8762 → D9441GGECC74 → FCA952DB7642 → DB8641ECA854 → D9863GGCA874 → DC7520FEB944 → FC9861EA8742 → EC841GGEC843 → FDAA43CC6632 → DA9843CC8764 → A8841GGEC887 → FC741GGEC942 → FEBA52DB6522 → DCB663CAA544 → A88643CCA887 ⮌
132 cycles9 nodes⮎ EB8531GEDB853 → FBB862GDA8552 → ED8651GEBA833 → FBB851GEB8552 → FD9662GDAA732 → EDA742GDC9633 → EBA962GDA7653 → EB8542GDCB853 → EB9762GDA9753 ⮌
142 cycles32 nodes⮎ A8841GGGGEC887 → FC98641ECA8742 → EC8841GGEC8843 → FDAA43GGCC6632 → EDC965GGAA7433 → DDA8630FDA8634 → FAA943GGCC7662 → EDB6630FDAA533 → FBAA643CCA6652 → D986443CCCA874 → A88841GGEC8887 → FC741GGGGEC942 → FECC84GGB84422 → EEBA842DC86523 → CCA863GGCA8645 → DC76621EEAA944 → DC98441ECC8744 → D98881GGE88874 → FC750GGGGFB942 → GECB860FA85421 → GEC863GGCA8421 → FEDA641ECA6322 → ECCA843CC86443 → B98883GGC88876 → DA530GGGGFDB64 → GDCB931ED75431 → FDAA861EA86632 → ECA443GGCCC643 → DDA8861EA88634 → DA943GGGGCC764 → DCCA631EDA6444 → DA98843CC88764 ⮌
153 cycles2 nodes⮎ FDB8641GECA8532 → FDB9751GEB97532 ⮌
164 cycles16 nodes⮎ A86421GGGGEECA87 → FECA763GGCA96422 → EECA6630FDAA6423 → FCBA8443CCC86542 → D988863GGCA88874 → DC7520GGGGFEB944 → GECCA740FC964421 → GEC88841EC888421 → FDC87GGGGGG88432 → EDC98870F9887433 → FBA821GGGGEE8652 → FEEB9660FAA75222 → FDCC6441ECCA4432 → ECA88883C8888643 → B983GGGGGGGGC876 → DA988753CB988764 ⮌
176 cycles18 nodes⮎ EBA74320GFEDC9653 → GDBB9752GDB975531 → FEA86641GECAA8622 → FDCA6441GECCA6432 → FDB98863GCA887532 → ECA7530GGGFDB9643 → GDDB9751GEB975331 → FFBA8641GECA86512 → FEDA7541GECB96322 → FDCB9752GDB975432 → EDA97641GECA97633 → FBB96431GEDCA7552 → FDB97652GDBA97532 → EDA86531GEDBA8633 → FBBA8541GECB86552 → FDA76651GEBAA9632 → FDB85442GDCCB8532 → EDA98762GDA987633 ⮌
184 cycles79 nodes⮎ 644441GGGGGGECCCCB → FCCCCA2GGGGD644442 → EECCB961GGEA754423 → FEBAA7640FCA966522 → FDC864441ECCCA8432 → ECA88883GGC8888643 → DDA641GGGGGGECA634 → FDCCAA430FDC664432 → FDAA88843CC8886632 → DA9843GGGGGGCC8764 → DCCA98531EDB876444 → DA988641GGECA88764 → FCA76320GGFEDA9642 → GEDCA7630FDA964321 → GECAA8441ECC866421 → FDC88843GGCC888432 → EDC9843GGGGCC87433 → DDDCA6442DCCA64334 → BAA988843CC8887666 → 985441GGGGGGECCB88 → FCCB88630FDA885442 → FDA8863GGGGCA88632 → EDDA95421EECB76333 → DCBAA8641ECA866544 → D9886443GGCCCA8874 → DC986520GGFEBA8744 → GEBA86420FECA86521 → GECC8643GGCCA84421 → FEDA88641ECA886322 → ECCA843GGGGCC86443 → DDCCA6441ECCA64434 → DA9888843CC8888764 → A8841GGGGGGGGEC887 → FC9888861EA8888742 → EC841GGGGGGGGEC843 → FDCC8843GGCC884432 → EDC98843GGCC887433 → DDB98540GGFCB87534 → GDB987430FDC987531 → GEAA8621GGEEA86621 → FFEC88421EEC884212 → EECCC87GGGG8844423 → EDCCA7443CCC964433 → BA9888841EC8888766 → D8541GGGGGGGGECB84 → FCCB88540FCB885442 → FD88865GGGGAA88832 → EDBA7521GGEEB96533 → FEBB98540FCB875522 → FDC86661GGEAAA8432 → FECA76421EECA96422 → ECCC88441ECC884443 → DB88887GGGG8888854 → CB9852GGGGGGDB8755 → EBBB9852GGDB875553 → ED9866430FDCAA8733 → FBAA8441GGECC86652 → FEBA76521EEBA96522 → ECCC66441ECCAA4443 → DB8888843CC8888854 → A885GGGGGGGGGGA887 → B9888865GGAA888876 → BA5320GGGGGGFEDB66 → GEDBAA531EDB665321 → FDCAA6643CCAA66432 → DA9884443CCCC88764 → A888841GGGGEC88887 → FC98641GGGGECA8742 → FECC97440FCC974422 → FDC888821EE8888432 → ECCA7GGGGGGGG86443 → DCCA98641ECA876444 → D9888441GGECC88874 → FCA9540GGGGFCB7642 → GECCA9530FDB764421 → GECA88641ECA886421 → FDC8843GGGGCC88432 → EDDCB5443CCCB54333 → BAA988865AA8887666 ⮌
196 cycles11 nodes⮎ EDA987651GEBA987633 → FBB854320GFEDCB8552 → GDDB97662GDAA975331 → FEAA85431GEDCB86622 → FDCB97541GECB975432 → FDB987641GECA987532 → FDB975320GFEDB97532 → GDDBA8641GECA865331 → FFBA97541GECB976512 → FEDA76531GEDBA96322 → FDCBA8542GDCB865432 ⮌
204 cycles37 nodes⮎ A885GGGGGGGGGGGGA887 → B9888865GGGGAA888876 → BAA93220GGGGFEED7666 → GEED98861GGEA8873221 → FFECB8620GGFEA854212 → GFDDDA9631EDA7633311 → FEDAAAA441ECC6666322 → ECCA884443CCCC886443 → B9888883GGGGC8888876 → DA98430GGGGGGFDC8764 → GDCCA97541ECB9764431 → FDA8886421EECA888632 → ECCA843GGGGGGCC86443 → DDCCCA641GGECA644434 → FDA998865GGAA8877632 → EDA743310GGFFDDC9633 → GFCCBA9750FB97654411 → GEE8866421EECAA88221 → FDCCC843GGGGCC844432 → EDDCB9843GGCC8754333 → DDBA987530FDB9876534 → FAA966421GGEECAA7662 → FEDA864430FDCCA86322 → FDCAA8843GGCC8866432 → EDC986621GGEEAA87433 → FEBBA76320FEDA965522 → FDCCA66441ECCAA64432 → ECA8888443CCC8888643 → B98883GGGGGGGGC88876 → DA98888841EC88888764 → D9841GGGGGGGGGGEC874 → FCC9887431EDC9887442 → ECA88821GGGGEE888643 → FEDC86641GGECAA84322 → FEDBA96621EEAA765322 → ECCCA64441ECCCA64443 → DB88888843CC88888854 ⮌