Base 133: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа

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 33 nodes1Ф → Т3 → О7 → ЖF → πV → ΘΒ → 5Р → КB → ψN → Ωl → bκ → vΞ → HД → μZ → zΚ → 9М → ВJ → θd → rΣ → Pφ → Υp → Tς → Μx → DИ → τR → Πt → LА → δh → jβ → fζ → nΧ → Xξ → ΔΖ
31 cycle 2 nodesΔХΖ → ΕХΕ
4125 cycles18 nodesTOφσ → ΧΝvo → XGДο → ξΕΔY → Δ0ФΗ → Ф2Т2 → ТП54 → ОЙB8 → ЖχNG → πΨlW → ΘaκΓ → x4РΝ → МEЖA → ВρTK → θΛxe → rCИΤ → φQτQ → ΥΡrq
52 cycles4 nodesγhХγj → δgХδi → εiХβh → δjХαi
66 cycles197 nodesJC2ТЙГ → РχιbO6 → КΨuΞmC → ψaIВλO → κΩxΛlc → vcCИιΟ → φuIВΟQ → κΥJБpc → θvTρΞe → ΜrHГΣy → μQCИυa → φΤyΚqQ → ΥSAКσq → АΟSςuM → δΞJБvi → θjHГβe → μrfεΣa → znPυΧΛ → ΥYAКνq → АΓSςΗM → δΞ3Сvi → ОjHГβ8 → ЖμfεZG → πΑmΧΙW → ΘZ7НμΓ → ЖΑ4РΙG → Мπ7НVA → ЖВΘΑJG → πι6ОcW → ИΘtΟΒE → τL5ПАS → КεΟtgC → ψmKАΨO → ζΩZλlg → znbιΧΛ → vYAКνΟ → АΓIВΗM → κδ3Сhc → ОvjαΞ8 → ЖfHГζG → πμnΦZW → ΘΑWξΙΓ → Ζ84РНΕ → МЕ0ФGA → ФВξWJ2 → ТιΕΔc4 → Оu0ФΟ8 → ФЖJБF2 → ТρηdU4 → ОΛqΣy8 → ЖRBЙτG → ψπΠsVO → ΩΙMψΑm → βb7Нκk → ЖweζΝG → πpFЕΥW → πΘTρΒW → ΜΘ5ПΒy → КD5ПИC → КψτQNC → ψαΡrkO → ΩeOφηm → ΧqaκΤo → xXRσξΝ → ΠΕEЖΕu → ςKХХАU → Бρ7НUL → ЖζΚyfG → πoAКΦW → АΘVοΒM → δΘ5ПΒi → Кj5ПβC → КψfεNC → ψαmΧkO → ΩeYμηm → ΒqaκΤΙ → xS6ОσΝ → ИΟEЖuE → τςJБTS → θΠΜwte → rMEЖωΤ → ςγQτiU → ΣΜhγxs → jPDЗφγ → τΦgδoS → ΠlVοΩu → ΘcKАιΓ → ζu4РΟg → МnJБΧA → ВθXνdK → θΔrΡΖe → rP1УφΤ → ТΦQτo4 → ОΣVοr8 → ЖΘPυΒG → πΥ5ПpW → КΘTρΒC → ψΜ5ПxO → КΩDЗlC → ψτbιRO → ΩΡuΞsm → bOIВχλ → κΨwΜmc → vaEЖλΟ → ςyIВΛU → κΜBЙxc → ψvDЗΞO → τΩHГlS → μΠbιta → zvLωΞΛ → δIAКГi → АλiβaM → δygδΛi → ljBЙβα → ψgcθεO → ΩtlΨΠm → caLωλκ → δyuΞΛi → jJBЙВγ → ψιgδcO → ΩukΩΟm → dbJБκι → θwsΠΝe → rNFЕψΤ → παQτkW → ΣΘdηΒs → rP5ПφΤ → КΦQτoC → ψΣVοrO → ΩΘPυΒm → Υb5Пκq → КwSςΝC → ψΞFЕvO → πΩHГlW → μΘbιΒa → zv5ПΞΛ → КIAКГC → АψκaNM → δαwΜki → jeEЖηγ → ςqgδΤU → ΜlRσΩy → ΠcCИιu → φuKАΟQ → ζΥJБpg → θnTρΧe → ΜrXνΣy → ΔQCИυΗ → φΤ2ТqQ → РΥRσp6 → КΠTρtC → ψΜLωxO → δΩDЗli → τjbιβS → ΠvfεΞu → nLHГАΨ → μεYμga → ΒzlΨΚΙ → bA6ОЛλ → ИБwΜKE → τηEЖeS → ςΠpΤtU → ΜTLωςy → δΝCИwi → φjFЕβQ → πΥfεpW → ΘnTρΧΓ → ΜY4Рνy → МΓCИΗA → Вφ3СPK → ОθΥod8 → ЖsUπΡG → πΚNχzW → ΩΘ9ЛΒm → Вb5ПκK → КθvΝdC → ψsGДΡO → ξΩNχlY → ΩΔbιΖm → vb1УκΟ → ТwIВΝ4 → ОκFЕb8 → ЖπvΝVG → πΙGДΑW → ξΘ7НΒY → ЖΔ5ПΖG → Кπ1УVC → ТψΘΑN4 → Оα6Оk8 → ИЖdηFE → τρqΣUS → ΠΛQτyu → ΣLBЙАs → ψεOφgO → ΩΧlΨnm → caXνλκ → ΔyuΞΛΗ