Base 25: 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 6 nodes1N → L3 → H7 → 9F → 5J → DB
31 cycle 2 nodesBOD → COC
48 cycles10 nodes90NG → N6H2 → LAD4 → H2L8 → J8F6 → D6HC → B0NE → N2L2 → LI54 → HCB8
52 cycles4 nodesG7OG9 → H6OH8 → I8OF7 → H9OE8
65 cycles12 nodes74OOJI → KH0N75 → NF9E92 → L64JI4 → HFBC98 → 960NIG → NC6HC2 → LAOOD4 → KE7GA5 → F93KFA → H64JI8 → FC8FCA
73 cycles4 nodesHB4OJD8 → KB5OID5 → JF6OH96 → ID7OGB7
85 cycles10 nodesD95OOIFC → JF61MI96 → LDC5ICB4 → HD1OOMB8 → NGB3KD82 → LH81MG74 → LHA7GE74 → HA93KFE8 → H963KIF8 → HC95IFC8
94 cycles22 nodesJD93OKFB6 → LEA3OKEA4 → LHA3OKE74 → LHD6OHB74 → KFA5OIE95 → JF94OJF96 → KDA5OIEB5 → JF82OLG96 → MFB6OHD93 → LG83OKG84 → LHC7OGC74 → KEA3OKEA5 → LFA3OKE94 → LHB4OJD74 → KHC5OIC75 → JFB4OJD96 → KDA3OKEB5 → LFA2OLE94 → MHC4OJC73 → LIC4OJC64 → KHD5OIB75 → JFB5OID96
104 cycles36 nodesA881OOMGGF → NGE60NIA82 → NLC83KGC32 → LIH7OOG764 → KIEB0NDA65 → NFC41MKC92 → MKG5OOI843 → LKHC1MC744 → LHG9OOE874 → KHD81MGB75 → LFA81MGE94 → LH863KIG74 → IGCA7GEC87 → B983OOKGFE → LGB50NJD84 → NHE81MGA72 → MKA83KGE43 → JHG83KG876 → HDA87GGEB8 → A8841MKGGF → LG884JGG84 → HF887GGG98 → A8885IGGGF → D8884JGGGC → F8880NGGGA → N8884JGGG2 → LF887GGG94 → H9885IGGF8 → D9885IGGFC → D8860NIGGC → NC880NGGC2 → NL87OOGG32 → MLGCOOB833 → LLEA3KEA34 → IIG43KK867 → HGCB7GDC88
113 cycles4 nodesKF853OKJG95 → LFFB6OHD994 → KF863OKIG95 → LFEA6OHEA94
126 cycles11 nodesDA987OOGGFEC → HG7630NLIH88 → NICA97GFEC62 → LC963OOKIFC4 → LKFB62LID944 → JHGC61MIC876 → LDCA7OOGECB4 → KHB520NMJD75 → NKFEA1MEA942 → MKG643KKI843 → JHGGC7GC8876
132 cycles48 nodesKFC742OLKHC95 → MHFD82OLGB973 → MJE973OKHFA53 → LJFC84OJGC954 → KHEB72OLHDA75 → MGDA72OLHEB83 → MJE962OLIFA53 → MJGD94OJFB853 → LIEB73OKHDA64 → LHEB72OLHDA74 → MHEA72OLHEA73 → MJEA73OKHEA53 → LJFC73OKHC954 → LHFC82OLGC974 → MHE972OLHFA73 → MJEA84OJGEA53 → LIEB63OKIDA64 → LHEC82OLGCA74 → MHE961OMIFA73 → NJGB84OJGD852 → MJEB84OJGDA53 → LIEB62OLIDA64 → MHFC82OLGC973 → MJE972OLHFA53 → MJGC84OJGC853 → LIEB83OKGDA64 → LHEA62OLIEA74 → MHFB73OKHD973 → LJDA83OKGEB54 → LHFB62OLID974 → MHFB83OKGD973 → LJD973OKHFB54 → LHFC83OKGC974 → LHD972OLHFB74 → MHEA83OKGEA73 → LJD963OKIFB54 → LHFD93OKFB974 → LHD863OKIGB74 → LHEB94OJFDA74 → KHC852OLJGC75 → MGFC93OKFC983 → LJC762OLIHC54 → MHGDB4OJDB873 → LIC951OMJFC64 → NIGD92OLFB862 → MLFA73OKHE933 → LJID84OJGB654 → KHEDA4OJEBA75
146 cycles22 nodesA888841MKGGGGF → LG88884JGGGG84 → HF88887GGGGG98 → A888885IGGGGGF → D888884JGGGGGC → F888880NGGGGGA → N888884JGGGGG2 → LF88887GGGGG94 → H988885IGGGGF8 → D988885IGGGGFC → D888860NIGGGGC → NC88880NGGGGC2 → NL8887OOGGGG32 → MLGD87OOGGB833 → LLFD852LJGB934 → JIHE861MIGA766 → LDCCA83KGECCB4 → IG841OOOOMKG87 → NKHGE41MKA8742 → MKGGA83KGE8843 → JHG8883KGGG876 → HDA8887GGGGEB8