Base 9: Cycles Sequences: All Cycle Counts

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Final Numbers
[Fixed Points]
Cycles Lengths
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Iteration Frequencies
[Cycle Start]
[Full Cycle]
Maximum Iteration Sequences
[Cycle Start]
[Full Cycle]
Cycles Sequences
[Maximum Length Cycle Count]
[All Cycle Counts] — [2] [3] [4] [5] [6] [7] [8] [Base 9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] [96] [97] [98] [99] [100] [101] [102] [103] [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] [116] [117] [118] [119] [120] [121] [122] [123] [124] [125] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161] [162] [163] [164] [165] [166] [167] [168] [169] [170] [171] [172] [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216] [217] [218] [219] [220] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255]

Radix Character Encoding
0	1	2	3	4	5	6	7	8

Color Key
Orange	Fixed Point	number that becomes itself after one iteration
Green	Final Numbers	all numbers eventually reached, from all cycles
Purple	Cycle Start	iterations include entry into cycle, assuming it repeats
Red	Full Cycle	iterations include entire cycle, proving it repeats
Blue	Start Numbers	subset (optimization) of all numbers; minimal for full coverage
Gray	No Results	any calculation that has no results

Digits	# Full Cycles (excluding zero)	Frequency	Cycle Length	Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero])
1	0 cycles	-	-	-
2	1 cycle	32×	(max) 2 nodes	⮎ 17 → 53 ⮌
3	1 cycle	156×	(max) 2 nodes	⮎ 385 → 484 ⮌
4	2 cycles	247×	(max) 3 nodes	⮎ 3076 → 7252 → 5254 ⮌
4	2 cycles	239×	(max) 3 nodes	⮎ 5074 → 7072 → 7432 ⮌
5	2 cycles	1,185×	(max) 5 nodes	⮎ 52854 → 60873 → 83841 → 74832 → 63843 ⮌
5	2 cycles	93×	(fixed) 1 node	⮎ 62853 ⮌
6	1 cycle	2,994×	(max) 14 nodes	⮎ 308876 → 850731 → 861621 → 753432 → 520764 → 740742 → 748832 → 652533 → 421665 → 540744 → 708872 → 858821 → 762522 → 542544 ⮌
7	1 cycle	6,426×	(max) 2 nodes	⮎ 6518633 → 7328552 ⮌
8	2 cycles	12,661×	(max) 4 nodes	⮎ 65407433 → 73188652 → 76407422 → 75388432 ⮌
8	2 cycles	200×	(fixed) 1 node	⮎ 65288533 ⮌
9	2 cycles	21,288×	(max) 12 nodes	⮎ 641888643 → 754186432 → 753087532 → 854186431 → 773087512 → 865384321 → 763186522 → 754285432 → 652087633 → 853285531 → 762186622 → 754384432 ⮌
9	2 cycles	3,013×	(fixed) 1 node	⮎ 753186532 ⮌
10	3 cycles	36,148×	4 nodes	⮎ 6441886443 → 7521886632 → 7653075322 → 7542166432 ⮌
		7,160×	(max) 5 nodes	⮎ 5288888854 → 6432885543 → 6531077533 → 7632166522 → 6444164443 ⮌
		441×	(fixed) 1 node	⮎ 6632885523 ⮌
11	2 cycles	75,357×	(max) 6 nodes	⮎ 75430875432 → 85420876431 → 87530875311 → 87641864211 → 77641864212 → 76541864322 ⮌
11	2 cycles	216×	(fixed) 1 node	⮎ 65528885333 ⮌
12	3 cycles	107,337×	2 nodes	⮎ 644188886443 → 754421664432 ⮌
		13,260×	(max) 6 nodes	⮎ 528888888854 → 643288885543 → 655418864333 → 753310775532 → 765221666322 → 644441644443 ⮌
		5,364×	2 nodes	⮎ 665318865323 → 763328855522 ⮌
13	3 cycles	175,626×	4 nodes	⮎ 7654308754322 → 8553208765331 → 8753218665311 → 7764318654212 ⮌
		27,663×	(max) 6 nodes	⮎ 7532088876532 → 8664408744221 → 8754188864311 → 7775318653112 → 7665318653222 → 7544318654432 ⮌
		192×	(fixed) 1 node	⮎ 6653288855323 ⮌
14	3 cycles	315,153×	(max) 11 nodes	⮎ 64418888886443 → 75444388444432 → 65408888887433 → 85544307544331 → 86221888866621 → 77665888822212 → 76665188632222 → 76544307544322 → 75421888866432 → 76653207653222 → 75444216644432 ⮌
		4,320×	(fixed) 1 node	⮎ 76533188655322 ⮌
		288×	(fixed) 1 node	⮎ 65552888853333 ⮌
15	4 cycles	349,818×	4 nodes	⮎ 776432087654212 → 865543087543321 → 875322087665311 → 876543186543211 ⮌
		87,506×	(max) 6 nodes	⮎ 765430888754322 → 866442087644221 → 875441888644311 → 777532087653112 → 866553186533221 → 774432186654412 ⮌
		52,473×	3 nodes	⮎ 765308888875322 → 866552186633221 → 774443186544412 ⮌
		508×	(fixed) 1 node	⮎ 666332888555223 ⮌
16	2 cycles	735,198×	(max) 2 nodes	⮎ 6441888888886443 → 7544442166444432 ⮌
16	2 cycles	264×	(fixed) 1 node	⮎ 6655328888553323 ⮌
17	4 cycles	665,104×	(max) 7 nodes	⮎ 77643208887654212 → 87655421866433211 → 77644320876544212 → 86554308887543321 → 87654310877543211 → 87665320876532211 → 87654431865443211 ⮌
		408,090×	(fixed) 1 node	⮎ 87654320876543211 ⮌
		8,012×	2 nodes	⮎ 66653318886553223 → 76633328885555222 ⮌
		360×	(fixed) 1 node	⮎ 65555288888533333 ⮌
18	4 cycles	1,190,954×	(max) 9 nodes	⮎ 644444418864444443 → 752188888888886632 → 766532208876653222 → 865544328855443321 → 766322108877665222 → 875554430754433311 → 866222188886666221 → 776664388884422212 → 766654221666432222 ⮌
		348,611×	6 nodes	⮎ 553208888888876534 → 865543330755543321 → 864222218866666421 → 776444421664444212 → 664438888888844423 → 655444438844444333 ⮌
		22,437×	(fixed) 1 node	⮎ 775533218866553312 ⮌
		264×	(fixed) 1 node	⮎ 666533288885553223 ⮌
19	5 cycles	2,009,036×	(max) 4 nodes	⮎ 8765432088876543211 → 8776543208765432111 → 8766543208765432211 → 8765443208765443211 ⮌
		147,248×	(max) 4 nodes	⮎ 7654444308754444322 → 8553208888888765331 → 8765553318655333211 → 7764322218666654212 ⮌
		52,505×	(fixed) 1 node	⮎ 8876543208765432101 ⮌
		10,941×	(fixed) 1 node	⮎ 7665333188865553222 ⮌
		336×	(fixed) 1 node	⮎ 6655532888885533323 ⮌
20	4 cycles	3,084,234×	(max) 15 nodes	⮎ 64444441888864444443 → 75442188888888664432 → 76654444188644443222 → 76543208888887654322 → 86665533107755332221 → 86644422216666444221 → 75444438888884444432 → 65544430888875444333 → 85554211088777643331 → 87765432107765432111 → 86666442188664422221 → 77644442188664444212 → 77554218888886643312 → 77665533107755332212 → 76654422216666443222 ⮌
		22,678×	6 nodes	⮎ 52888888888888888854 → 64328888888888885543 → 65544331888865544333 → 75553311107777553332 → 76665222216666632222 → 64444444416444444443 ⮌
		752×	(fixed) 1 node	⮎ 66663332888855552223 ⮌
		432×	(fixed) 1 node	⮎ 65555528888885333333 ⮌
21	6 cycles	2,314,027×	6 nodes	⮎ 776444432087654444212 → 865543088888887543321 → 876555442087644333211 → 876543220888766543211 → 877655332087655332111 → 876654322186665432211 ⮌
		1,679,049×	(max) 7 nodes	⮎ 876543208888876543211 → 877665432087654322111 → 876654432087654432211 → 876544320888765443211 → 877654321087765432111 → 876665432087654322211 → 876544432087654443211 ⮌
		126,910×	4 nodes	⮎ 765444443087544444322 → 855320888888888765331 → 876555333186555333211 → 776432222186666654212 ⮌
		119,309×	4 nodes	⮎ 887654320888765432101 → 887765432087654321101 → 887665432087654322101 → 887654432087654432101 ⮌
		52,505×	(fixed) 1 node	⮎ 888765432087654321001 ⮌
		336×	(fixed) 1 node	⮎ 666553328888855533223 ⮌
22	5 cycles	5,666,157×	(max) 10 nodes	⮎ 6444444441886444444443 → 7521888888888888886632 → 7665322088888876653222 → 8666664410887744222221 → 8775544421886644433111 → 7776533108888775532112 → 8777554440887444331111 → 8776644108888774422111 → 8777755332166553311111 → 7666654222166664322222 ⮌
		141,544×	2 nodes	⮎ 7544421888888886644432 → 7665444432076544443222 ⮌
		31,811×	2 nodes	⮎ 7765322210887766653212 → 8765554432885544333211 ⮌
		12,996×	2 nodes	⮎ 6666533318888655532223 → 7666333328888555552222 ⮌
		408×	(fixed) 1 node	⮎ 6655553288888855333323 ⮌
23	9 cycles	6,619,669×	(max) 8 nodes	⮎ 87654320888888876543211 → 87766554320876543322111 → 87665443220876654432211 → 87654443208887654443211 → 87765432108887765432111 → 87776554320876543321111 → 87666543220876654322211 → 87654444320876544443211 ⮌
		409,389×	7 nodes	⮎ 88765432088888765432101 → 88776654320876543221101 → 88766544320876544322101 → 88765443208887654432101 → 88776543210877654321101 → 88766654320876543222101 → 88765444320876544432101 ⮌
		394,019×	3 nodes	⮎ 87654432088888765443211 → 87766543220876654322111 → 87665444320876544432211 ⮌
		290,085×	2 nodes	⮎ 87665322208887666532211 → 87765544330875544332111 ⮌
		119,309×	4 nodes	⮎ 88876543208887654321001 → 88877654320876543211001 → 88876654320876543221001 → 88876544320876544321001 ⮌
		52,505×	(fixed) 1 node	⮎ 88887654320876543210001 ⮌
		2,900×	(fixed) 1 node	⮎ 77655333218886655533212 ⮌
		504×	(fixed) 1 node	⮎ 65555552888888853333333 ⮌
		336×	(fixed) 1 node	⮎ 66665333288888555532223 ⮌
24	4 cycles	8,698,985×	2 nodes	⮎ 754444218888888866444432 → 766544443220766544443222 ⮌
		1,798,172×	(max) 6 nodes	⮎ 655444308888888875444333 → 855554443208876544433331 → 876432221088887766654211 → 877765553220766533321111 → 866664442221666644422221 → 754444443888888444444432 ⮌
		20,726×	(fixed) 1 node	⮎ 766653333188886555532222 ⮌
		408×	(fixed) 1 node	⮎ 666555332888888555333223 ⮌
25	15 cycles	5,034,054×	2 nodes	⮎ 8766543222088876665432211 → 8776554433208765544332111 ⮌
		3,822,555×	6 nodes	⮎ 8765432088888888876543211 → 8776655443208765443322111 → 8766544322088876654432211 → 8776554332108776554332111 → 8766654322208766654322211 → 8765444443208765444443211 ⮌
		1,101,918×	4 nodes	⮎ 7764444432088876544444212 → 8765542208888888766433211 → 8776665533108775533222111 → 8766654432218666544322211 ⮌
		947,961×	(max) 8 nodes	⮎ 8876543208888888765432101 → 8877665543208765433221101 → 8876654432208766544322101 → 8876544432088876544432101 → 8877654321088877654321101 → 8877765543208765433211101 → 8876665432208766543222101 → 8876544443208765444432101 ⮌
		944,060×	7 nodes	⮎ 7764322222088876666654212 → 8765554443218665444333211 → 7764432220888887666544212 → 8766655422218666643322211 → 7764444443208765444444212 → 8655430888888888887543321 → 8765554433318655544333211 ⮌
		940,659×	3 nodes	⮎ 8765444320888887654443211 → 8776654322108776654322111 → 8766654443208765444322211 ⮌
		409,389×	7 nodes	⮎ 8887654320888887654321001 → 8887766543208765432211001 → 8887665443208765443221001 → 8887654432088876544321001 → 8887765432108776543211001 → 8887666543208765432221001 → 8887654443208765444321001 ⮌
		249,482×	6 nodes	⮎ 7766533211088877765532212 → 8776555533288855533332111 → 7776543222188866665432112 → 7775554433208765544333112 → 8665532222088876666533221 → 8766544433288855544432211 ⮌
		119,309×	4 nodes	⮎ 8888765432088876543210001 → 8888776543208765432110001 → 8888766543208765432210001 → 8888765443208765443210001 ⮌
		99,019×	3 nodes	⮎ 7776544433208765544432112 → 8665543220888887665433221 → 8766664332188866554222211 ⮌
		93,238×	2 nodes	⮎ 8876653222088876665322101 → 8877655443308755443321101 ⮌
		68,734×	3 nodes	⮎ 8876544320888887654432101 → 8877665432208766543221101 → 8876654443208765444322101 ⮌
		52,505×	(fixed) 1 node	⮎ 8888876543208765432100001 ⮌
		784×	(fixed) 1 node	⮎ 6666633332888885555522223 ⮌
		480×	(fixed) 1 node	⮎ 6655555328888888553333323 ⮌
26	4 cycles	9,785,000×	(max) 13 nodes	⮎ 65544444218888886644444333 → 76555422210888877666433322 → 87665553332088765553332211 → 87755433222188666655433111 → 77765443322107766554432112 → 76665444221888866644432222 → 76665443222088766654432222 → 86554444331088775544443321 → 87754322108888887766543111 → 87777664433107755442211111 → 86666664421888866442222221 → 77666444422216666444422212 → 66444444388888888444444423 ⮌
		8,370,211×	2 nodes	⮎ 75444218888888888886644432 → 76654444443207654444443222 ⮌
		576×	(fixed) 1 node	⮎ 65555555288888888533333333 ⮌
		408×	(fixed) 1 node	⮎ 66665533328888885555332223 ⮌
27	15 cycles	17,090,598×	(max) 20 nodes	⮎ 776444432088888887654444212 → 876665433322087665554322211 → 876544443222087666544443211 → 876544432088888887654443211 → 877665543322087665543322111 → 876654443222087666544432211 → 876544443208888876544443211 → 877665432210888776654322111 → 877765554332087655433321111 → 876665432222087666654322211 → 876544444432087654444443211 → 876543208888888888876543211 → 877665544332087655443322111 → 876654432220888766654432211 → 877655443321087765544332111 → 876665432220888766654322211 → 877655444332087655444332111 → 876654322208888876665432211 → 877666553322087665533222111 → 876654444322186665444432211 ⮌
		1,470,289×	4 nodes	⮎ 876544444320888765444443211 → 877654321088888887765432111 → 877776654332087655432211111 → 876666544322087665443222211 ⮌
		1,381,840×	5 nodes	⮎ 876544320888888888765443211 → 877665544432087654443322111 → 876654432208888876654432211 → 877666543222087666543222111 → 876654444432087654444432211 ⮌
		947,961×	8 nodes	⮎ 888765432088888887654321001 → 888776655432087654332211001 → 888766544322087665443221001 → 888765444320888765444321001 → 888776543210888776543211001 → 888777655432087654332111001 → 888766654322087665432221001 → 888765444432087654444321001 ⮌
		800,643×	2 nodes	⮎ 887665432220888766654322101 → 887765544332087655443321101 ⮌
		738,683×	6 nodes	⮎ 887654320888888888765432101 → 887766554432087654433221101 → 887665443220888766544322101 → 887765543321087765543321101 → 887666543222087666543222101 → 887654444432087654444432101 ⮌
		409,389×	7 nodes	⮎ 888876543208888876543210001 → 888877665432087654322110001 → 888876654432087654432210001 → 888876544320888765443210001 → 888877654321087765432110001 → 888876665432087654322210001 → 888876544432087654443210001 ⮌
		279,848×	3 nodes	⮎ 887654443208888876544432101 → 887766543221087766543221101 → 887666544432087654443222101 ⮌
		119,309×	4 nodes	⮎ 888887654320888765432100001 → 888887765432087654321100001 → 888887665432087654322100001 → 888887654432087654432100001 ⮌
		93,238×	2 nodes	⮎ 888766532220888766653221001 → 888776554433087554433211001 ⮌
		68,734×	3 nodes	⮎ 888765443208888876544321001 → 888776654322087665432211001 → 888766544432087654443221001 ⮌
		65,329×	(fixed) 1 node	⮎ 777555333221888666555333112 ⮌
		52,505×	(fixed) 1 node	⮎ 888888765432087654321000001 ⮌
		16,965×	2 nodes	⮎ 666665333318888865555322223 → 766663333328888855555522222 ⮌
		480×	(fixed) 1 node	⮎ 666555533288888885553333223 ⮌
28	5 cycles	29,230,944×	(max) 31 nodes	⮎ 6441888888888888888888886443 → 7544442188888888888866444432 → 7665444444441886444444443222 → 7654320888888888888887654322 → 8666554433221077665544332221 → 8664444422218888666644444221 → 7766644222188888866664422212 → 7766665542221886666433222212 → 7755444444331077554444443312 → 7665222188888888888866663222 → 7666666532220887666532222222 → 8655444444432885544444443321 → 7663221088888888888877665222 → 8766666532220887666532222211 → 8775544444432885544444433111 → 7775422108888888888776643112 → 8777666544210887764432221111 → 8776665544320887654433222111 → 8776554433210887765544332111 → 8776655332210887766553322111 → 8776655443321886655443322111 → 7776544332210887766554432112 → 8766555433210887765543332211 → 8776554332221077666554332111 → 8666644442221886666444422221 → 7764444442188888866444444212 → 7766643322188888866655422212 → 7766665533221077665533222212 → 7665444444222166664444443222 → 6444444188888888888864444443 → 7544444444442166444444444432 ⮌
		1,022,355×	6 nodes	⮎ 7776544331088888877554432112 → 8777664443320887655444221111 → 8776655433108888775543322111 → 8777755443310887755443311111 → 8776666442210887766442222111 → 8776655444421886644443322111 ⮌
		6,072×	(fixed) 1 node	⮎ 7766553333218888665555332212 ⮌
		552×	(fixed) 1 node	⮎ 6655555532888888885533333323 ⮌
		408×	(fixed) 1 node	⮎ 6666653333288888855555322223 ⮌
29	18 cycles	25,771,084×	(max) 8 nodes	⮎ 87654444432088888765444443211 → 87766543221088888776654322111 → 87777655543220876654333211111 → 87666654432220876665443222211 → 87654444443208887654444443211 → 87765432108888888887765432111 → 87777665543220876654332211111 → 87666654443220876654443222211 ⮌
		6,706,552×	7 nodes	⮎ 87654320888888888888876543211 → 87766554433220876655443322111 → 87665444322208887666544432211 → 87765544332108887765544332111 → 87776554332110877765543321111 → 87666665432220876665432222211 → 87654444444320876544444443211 ⮌
		1,443,687×	5 nodes	⮎ 87654432088888888888765443211 → 87766554444320876544443322111 → 87665443220888888876654432211 → 87766665432220876665432222111 → 87665444444320876544444432211 ⮌
		947,961×	(max) 8 nodes	⮎ 88887654320888888876543210001 → 88887766554320876543322110001 → 88887665443220876654432210001 → 88887654443208887654443210001 → 88887765432108887765432110001 → 88887776554320876543321110001 → 88887666543220876654322210001 → 88887654444320876544443210001 ⮌
		800,643×	2 nodes	⮎ 88876654322208887666543221001 → 88877655443320876554433211001 ⮌
		738,683×	6 nodes	⮎ 88876543208888888887654321001 → 88877665544320876544332211001 → 88876654432208887665443221001 → 88877655433210877655433211001 → 88876665432220876665432221001 → 88876544444320876544444321001 ⮌
		731,168×	4 nodes	⮎ 88765444443208887654444432101 → 88776543210888888877654321101 → 88777766543320876554322111101 → 88766665443220876654432222101 ⮌
		409,389×	7 nodes	⮎ 88888765432088888765432100001 → 88888776654320876543221100001 → 88888766544320876544322100001 → 88888765443208887654432100001 → 88888776543210877654321100001 → 88888766654320876543222100001 → 88888765444320876544432100001 ⮌
		279,848×	3 nodes	⮎ 88876544432088888765444321001 → 88877665432210877665432211001 → 88876665444320876544432221001 ⮌
		212,073×	5 nodes	⮎ 88765443208888888887654432101 → 88776655444320876544433221101 → 88766544322088888766544322101 → 88776665432220876665432221101 → 88766544444320876544444322101 ⮌
		199,085×	3 nodes	⮎ 77765444333210877655544432112 → 86665543222088888766654332221 → 87666654333218886655543222211 ⮌
		119,309×	4 nodes	⮎ 88888876543208887654321000001 → 88888877654320876543211000001 → 88888876654320876543221000001 → 88888876544320876544321000001 ⮌
		93,238×	2 nodes	⮎ 88887665322208887666532210001 → 88887765544330875544332110001 ⮌
		68,734×	3 nodes	⮎ 88887654432088888765443210001 → 88887766543220876654322110001 → 88887665444320876544432210001 ⮌
		52,505×	(fixed) 1 node	⮎ 88888887654320876543210000001 ⮌
		32,924×	(fixed) 1 node	⮎ 76666533333188888655555322222 ⮌
		648×	(fixed) 1 node	⮎ 65555555528888888885333333333 ⮌
		480×	(fixed) 1 node	⮎ 66665553332888888855553332223 ⮌
30	5 cycles	30,280,586×	(max) 22 nodes	⮎ 655444444444308875444444444333 → 854321088888888888888887765431 → 877655443321088887765544332111 → 877775544331110777755443311111 → 866666666222188886666222222221 → 776664444444388884444444422212 → 766654221888888888888666432222 → 766666654432088887654432222222 → 866655444332210776655444332221 → 866444442221888888666644444221 → 776666622222188886666662222212 → 776655444444388884444444332212 → 766644321088888888887765442222 → 876666654433188886554432222211 → 777665443332110777655544322112 → 766665444222188886666444322222 → 766654444322208876665444432222 → 865544443310888888775544443321 → 877655543211108877776543332111 → 877666655332210776655332222111 → 866664444442221666644444422221 → 754444443888888888888444444432 ⮌
		14,036,611×	7 nodes	⮎ 776655443322108877665544332212 → 876555443322108877665544333211 → 877655433222108877666554332111 → 877665544332210776655443322111 → 866664444222188886666444422221 → 776664444222188886666444422212 → 776655444222188886666444332212 ⮌
		4,584,590×	7 nodes	⮎ 655421888888888888888888664333 → 765554433221888888666554433322 → 766665433321108877765554322222 → 876555444332210776655444333211 → 866644422221888888666664442221 → 776666644222221666666442222212 → 664444444444388884444444444423 ⮌
		1,144×	(fixed) 1 node	⮎ 666666333332888888555555222223 ⮌
		552×	(fixed) 1 node	⮎ 666555553328888888855533333223 ⮌
31	19 cycles	34,844,792×	(max) 8 nodes	⮎ 8765444444320888887654444443211 → 8776654322108888888776654322111 → 8777766654432108776544322211111 → 8766666544432088876544432222211 → 8776554443321088877655444332111 → 8777655433211088877765543321111 → 8777666554332108776554332221111 → 8766665444322208766654443222211 ⮌
		13,325,703×	5 nodes	⮎ 8766544443222088876665444432211 → 8776554433210888887765544332111 → 8777765444321108777654443211111 → 8766666654320888887654322222211 → 8776665544332208766554433222111 ⮌
		5,843,117×	(max) 8 nodes	⮎ 8876544444320888887654444432101 → 8877665432210888887766543221101 → 8877776555432208766543332111101 → 8876666544322208766654432222101 → 8876544444432088876544444432101 → 8877654321088888888877654321101 → 8877776655432208766543322111101 → 8876666544432208766544432222101 ⮌
		2,229,260×	7 nodes	⮎ 8876543208888888888888765432101 → 8877665544332208766554433221101 → 8876654443222088876665444322101 → 8877655443321088877655443321101 → 8877765543321108777655433211101 → 8876666654322208766654322222101 → 8876544444443208765444444432101 ⮌
		947,961×	(max) 8 nodes	⮎ 8888876543208888888765432100001 → 8888877665543208765433221100001 → 8888876654432208766544322100001 → 8888876544432088876544432100001 → 8888877654321088877654321100001 → 8888877765543208765433211100001 → 8888876665432208766543222100001 → 8888876544443208765444432100001 ⮌
		800,643×	2 nodes	⮎ 8888766543222088876665432210001 → 8888776554433208765544332110001 ⮌
		738,683×	6 nodes	⮎ 8888765432088888888876543210001 → 8888776655443208765443322110001 → 8888766544322088876654432210001 → 8888776554332108776554332110001 → 8888766654322208766654322210001 → 8888765444443208765444443210001 ⮌
		731,168×	4 nodes	⮎ 8887654444432088876544444321001 → 8887765432108888888776543211001 → 8887777665433208765543221111001 → 8887666654432208766544322221001 ⮌
		639,617×	3 nodes	⮎ 7776544433321108777655544432112 → 8666655432220888887666543322221 → 8766665443332188866555443222211 ⮌
		409,389×	7 nodes	⮎ 8888887654320888887654321000001 → 8888887766543208765432211000001 → 8888887665443208765443221000001 → 8888887654432088876544321000001 → 8888887765432108776543211000001 → 8888887666543208765432221000001 → 8888887654443208765444321000001 ⮌
		279,848×	3 nodes	⮎ 8888765444320888887654443210001 → 8888776654322108776654322110001 → 8888766654443208765444322210001 ⮌
		212,073×	5 nodes	⮎ 8887654432088888888876544321001 → 8887766554443208765444332211001 → 8887665443220888887665443221001 → 8887766654322208766654322211001 → 8887665444443208765444443221001 ⮌
		186,595×	5 nodes	⮎ 8876544320888888888887654432101 → 8877665544443208765444433221101 → 8876654432208888888766544322101 → 8877666654322208766654322221101 → 8876654444443208765444444322101 ⮌
		119,309×	4 nodes	⮎ 8888888765432088876543210000001 → 8888888776543208765432110000001 → 8888888766543208765432210000001 → 8888888765443208765443210000001 ⮌
		93,238×	2 nodes	⮎ 8888876653222088876665322100001 → 8888877655443308755443321100001 ⮌
		68,734×	3 nodes	⮎ 8888876544320888887654432100001 → 8888877665432208766543221100001 → 8888876654443208765444322100001 ⮌
		52,505×	(fixed) 1 node	⮎ 8888888876543208765432100000001 ⮌
		624×	(fixed) 1 node	⮎ 6655555553288888888855333333323 ⮌
		480×	(fixed) 1 node	⮎ 6666655333328888888555553322223 ⮌
32	7 cycles	55,607,462×	(max) 35 nodes	⮎ 65408888888888888888888888887433 → 85544320888888888888888876544331 → 87655544443332088765554444333211 → 87755332222108888887766665533111 → 87777665544331088775544332211111 → 87766665533221088776655332222111 → 87766554444332188665544443322111 → 77765443322108888887766554432112 → 87776655444222088766644433221111 → 87766554443310888877554443322111 → 87777554433111088777755443311111 → 87766666644221088776644222222111 → 87766554444442188664444443322111 → 77765443310888888888877554432112 → 87776655543332207665554333221111 → 86666444422222188666666444422221 → 77644444444218888886644444444212 → 77666433221888888888866655422212 → 77666666553310888877553322222212 → 87765555443332888855554433332111 → 77766443222211107777666654422112 → 76666654444441888864444443222222 → 76665443222088888888766654432222 → 86666666442222107766664422222221 → 86644444444443888844444444444221 → 76654218888888888888888886643222 → 76666544322220888876666544322222 → 86665544443322107766554444332221 → 86644444222188888888666644444221 → 77666664422222188666666442222212 → 77554444444442188664444444443312 → 77553310888888888888888877553312 → 87765555333311107777555533332111 → 86666664222222216666666642222221 → 75444444444444388444444444444432 ⮌
		14,402,058×	2 nodes	⮎ 75444421888888888888888866444432 → 76654444444432207665444444443222 ⮌
		6,853,160×	(fixed) 1 node	⮎ 87766554433221088776655443322111 ⮌
		32,912×	2 nodes	⮎ 66666653333318888886555553222223 → 76666633333328888885555555222222 ⮌
		7,812×	(fixed) 1 node	⮎ 77765553333221888866655553332112 ⮌
		720×	(fixed) 1 node	⮎ 65555555552888888888853333333333 ⮌
		552×	(fixed) 1 node	⮎ 66665555333288888888555533332223 ⮌
33+	-	-	-	Not showing digit sets 33+ due to verbosity.