Base 132: 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--
25 cycles18 nodes8М → ГH → λZ → yΚ → AК → ωL → γh → iβ → gδ → kΩ → cθ → sΠ → Mψ → αj → eζ → oΥ → Uπ → Ιz
31 cycle (fixed) 1 node ΔФΕ
424 cycles5 nodesaBИλ → χxΚO → ΨBИm → χZκO → ΨxΚm
52 cycles2 nodesΕΓФΕΕ → ΕФФФΔ
64 cycles192 nodesM42СРω → ПМβh86 → ЙДhβGC → χξhβWO → ΨΖhβΓm → ia2Сκγ → ПxhβΛ6 → ЙiCЗβC → χυgγPO → ΨΥjΩom → eaUοκη → ΙxpΣΛΑ → SD7МЗσ → ЕτΞtQG → οΣJАqW → ηΗQσΒe → Ρq4ПΣs → ЛRNφσA → БΨΟslK → ηbLψιe → γvpΣΝi → iSGГςγ → νΞhβuY → ΓiIБβΗ → ιh3Рγc → НuiαΞ8 → ЕgIБδG → οιkΨbW → ΗvbθΝΓ → uH3РГΟ → НμJАY8 → ЕηΑΗdG → οr5ОΡW → ЙΗOυΒC → χΦ4ПnO → ЛΨWνlA → БΕaιΔK → ηw0УΜe → УqEЕΣ2 → СρQσT4 → НΡΛwr8 → ЕPDЖυG → σοΤoVS → ΟΘTπΑu → ΛK6НАy → ЗζBИeE → χσoΤRO → ΨΠTπsm → ΛaMχκy → αxBИΛk → χeCЗζO → υΨoΤlQ → ΤbTπιq → ΛvRςΝy → ΟHBИГu → χμJАYO → ηΨΑΗle → qb5ОιΤ → ЙvRςΝC → χΟGГtO → νΨKωlY → εΓaιΖg → wm2СΧΝ → ПZFДλ6 → ЙοyΙVC → χΘ9КΑO → БΨ6НlK → ЗηaιdE → σwqΡΜS → ΟQEЕτu → ρΣJАqU → ηΛQσxe → ΡqCЗΣs → υRNφσQ → ΨΤΟspm → aTLψρλ → γΜxΚwi → iFBИЕγ → χπhβUO → ΨΚhβym → iaAЙκγ → ωxhβΛM → γiCЗβi → υigγβQ → ΤkgγΩq → kdRςηα → ΟrdζΡu → qPJАυΤ → ηΥRςoe → ΟqUοΣu → ΙRJАσΑ → ηΠ7Мse → ЕqMχΣG → οαQσjW → ΡΗeεΒs → oO4ПφΦ → ЛΧVξmA → БΗYλΒK → ηΑ4ПΘe → Лq6НΣA → ЗБQσJE → σθΠrcS → ΟtNφΟu → ΨLJАωm → ηδZκge → yqkΨΣΛ → cRBИσι → χΠtΞsO → ΨNJАχm → ηΩZκke → yqcηΣΛ → sRBИσΡ → χΠNφsO → ΩΧMχml → αcYλθk → ΑtdζΟΙ → qL7МωΤ → ЕδRςgG → οΟkΨtW → ΗcKωθΓ → εt3РΟg → НmKωΧ8 → ЕεYλfG → οΑmΦΘW → ΗY6НμΓ → ЗΒ3РΗE → Нσ4ПR8 → ЛЕΟsFA → БπLψUK → ηγΙyhe → qj9КαΤ → БfRςεK → ηΟmΦte → qYKωμΤ → εΒRςΗg → Οm4ПΧu → ЛZJАλA → БηyΙdK → ηr9КΡe → БqOυΣK → ηΦQσne → ΡqWνΣs → ΕRNφσΕ → ΨΟФФsm → ΧΠ7Мsn → ЕYMχμG → οαΑΗjW → Ηf5ОεΓ → Йn3РΦC → НχWνN8 → ЕΩΔΔkG → οcФФηW → ξθ7МcX → ЕΕsΟΔG → οM0УψW → УβΖΒi2 → Сh3Рγ4 → ОМiα87 → ЗДfδGE → σξlΧWS → ΟΖZκΓu → yK2САΛ → ПζBИe6 → ЙχoΤNC → χΩTπkO → ΨΛcηxm → saCЗκΡ → υxNφΛQ → ΨΤCЗpm → υaSρκQ → ΤΝwΛvq → SHDЖГσ → σμΞtYS → ΟΒJАΗu → ηK4ПАe → ЛζpΣeA → БpRςΤK → ηΟSρte → ΝqKωΣw → εRFДσg → οΠlΧsW → ΗaMχκΓ → αx3РΛk → НeCЗζ8 → ЕυoΤPG → οΥTπoW → ΛΗUοΒy → ΙC4ПИΑ → Лφ7МOA → ЕБΦmJG → οθXμcW → ΗΓsΟΖΓ