Legend
F_ba Decomposition of the basenumber in its prime factors.
F_pp Decomposition of the palindromic hexagonal.
Note : a palindromic hexagonal will always be divisible by its basenumber.
To reconstruct the hexagonals you must take into account the purple factors.
Date Date of discovery by the author.
Hypertext links to related topics in number theory
Comm Comments about the palindromic hexagonal number.
Factorization
[83]
F_ba 5802177948883358568632104907376 =
2 * 2 * 2 * 2 * 3 * 3 * 13 * 13 * 71 * 151391 * 22181118452937982831
F_pt 67330537901016595837936819195144159191863973859561010973503376 =
11 * 1054941445251519739751291801341
Date September 18, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[82]
F_ba 2978027651105307283560165296247 =
3 * 13 * 408872239 * 186756830320472175007
F_pt 17737297381495587611197659145355354195679111678559418379273771 =
7 * 11 * 77351367561176812560004293409
Date September 18, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[81]
F_ba 2755156575179618913249404977387 =
11 * 146669 * 260453060311 * 6556707410563
F_pt 15181775507510974169398336861133116863389396147901570557718151 =
5510313150359237826498809954773
Date September 18, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[80]
F_ba 166343895877755240864992331743 =
67 * 2482744714593361803955109429
F_pt 55340583391578954029492500160806100529492045987519338504355 =
3 * 3 * 5 * 17 * 2311 * 16097 * 7502681 * 1558167200687
Date September 6, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[79]
F_ba 30930709782292023763863665307 =
3 * 3 * 91183 * 37690638949867633420781
F_pt 1913417615272750984206227878228787226024890572725167143191 =
11 * 23 * 1873 * 15566521 * 20908981 * 401085677
Date June 26, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[78]
F_ba 16486144312213259790973168705 =
5 * 13 * 13 * 17 * 223087 * 5144452996386259291
F_pt 543585908566243233447813416222614318744332342665809585345 =
7 * 21211 * 91733 * 2420830108182706049
Date June 26, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[77]
F_ba 9616108721198505559428274761 =
3 * 7 * 7 * 163 * 90134333 * 4452502545902597
F_pt 184939093875819915846819675717576918648519918578390939481 =
446231 * 1356337 * 14790001 * 2148492343
Date June 26, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[76]
F_ba 2085761317162842560211961594 =
2 * 1042880658581421280105980797
F_pt 8700800544345751829458446650566448549281575434450080078 =
17 * 8513 * 9324115133 * 3091401562559
Date June 14, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[75]
F_ba 847467228857802971885663757 =
3 * 11 * 409 * 32917 * 2898503 * 658099655831
F_pt 1436401407975847596488073464643708846957485797041046341 =
14048291 * 120650580039636561043
Date June 14, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[74]
F_ba 804421800530291612930873241 =
3 * 7 * 139838765279 * 273928334169899
F_pt 1294188866336792535757443701073447575352976336688814921 =
1447 * 3121 * 51343031 * 6938570803873
Date June 14, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )
[73]
F_ba 263852272444989543277818911 =
11 * 23 * 704441 * 2028239 * 729922184813
F_pt 139236043348769976436410774477014634679967843340632931 =
3 * 3 * 161057597 * 364055092173694777
Date November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )
[72]
F_ba 232381414676970907940093601 =
3 * 11 * 486924413011 * 14461918241627
F_pt 108002243774540620212510333333015212026045477342200801 =
464762829353941815880187201
Date November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )
[71]
F_ba 158794471171971963309802293 =
3 * 3 * 11 * 11 * 241 * 479 * 20809 * 60702102169987
F_pt 50431368149572469821594569096549512896427594186313405 =
5 * 7 * 31 * 67 * 1471 * 119191 * 24917513135623
Date November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )
[70]
F_ba 97498711546492941662293007 =
31 * 103 * 491 * 15061 * 4129188007270849
F_pt 19011997506452472127996132423169972127425460579911091 =
3 * 64999141030995294441528671
Date November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )
[69]
F_ba 96669112362709388798156777 =
7 * 281 * 81799 * 600807542987076769
F_pt 18689834569988266379838452825483897366288996543898681 =
3 * 13 * 7243 * 11657443117 * 58712602217
Date November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )
[68]
F_ba 17285022733311846957809183 =
7 * 13 * 474779 * 400070990422214647
F_pt 597544021782214705597988959889795507412287120445795 =
3 * 3 * 5 * 37 * 20762790070044260609981
Date November 9, 2022 ( David Griffeath / Rust code by Robert Xiao )
[67]
F_ba 8056799672501327442134697 =
3 * 3 * 557 * 9717919 * 165383274260251
F_pt 129824041925634994253924353429352499436529140428921 =
47 * 2851 * 12791 * 9401409868006259
Date November 9, 2022 ( David Griffeath / Rust code by Robert Xiao )
[66]
F_ba 1640970415884137024922823 =
7 * 656479 * 888157 * 402061168363
F_pt 5385567811613915254381275721834525193161187655835 =
5 * 656388166353654809969129
Date November 6, 2022 ( David Griffeath / Rust code by Robert Xiao )
[65]
F_ba 986044423140796944147207 =
3 * 328681474380265648049069
F_pt 1944567208814134024246830386424204314188027654491 =
11 * 11 * 47 * 53 * 1871 * 3496983566911873
Date November 6, 2022 ( David Griffeath / Rust code by Robert Xiao )
[64]
F_ba 712999646411249822712237 =
3 * 3 * 373 * 39283579 * 5406633426979
F_pt 1016736991565134544383803083834454315651996376101 =
13 * 8744159989 * 12544630179689
Date November 6, 2022 ( David Griffeath / Rust code by Robert Xiao )
[63]
F_ba 13269591374387166732749 =
11 * 509 * 123553 * 19181995591667
F_pt 352164110486420593101030101395024684011461253 =
3 * 3 * 3 * 677 * 19661 * 141101 * 523358663
Date January 4, 2008 ( Feng Yuan )
[62]
F_ba 12432083271361292035379 =
11083 * 48857 * 22959360170209
F_pt 309113388932122569558171855965221239883311903 =
3 * 1297 * 128393 * 49770422637839
Date December 6, 2022 ( Robert Xiao )
[61]
F_ba 2902825573527004575021 =
3 * 3 * 3 * 11 * 11 * 13 * 17 * 23 * 281 * 153469 * 4053449
F_pt 16852792620644766088388388066744602629725861 =
1429 * 153395789 * 26485322761
Date January 4, 2008 ( Feng Yuan )
[60]
F_ba 166735172845051317043 =
100045471 * 1666593911533
F_pt 55601235727338276212021267283372753210655 =
5 * 23 * 21661 * 303959 * 440418821
Date April 18, 2000
[59]
F_ba 95800231113659236061 =
2 * 2477 * 38675910825054193
F_pt 18355368562861046305450364016826586355381 =
3 * 17 * 47 * 197 * 503 * 8693 * 92795011
Date April 22, 2000
[58]
F_ba 17684912039911051426 =
2 * 30253 * 8817409 * 33148469
F_pt 625512227718781732353237187817722215526 =
53 * 667355171317398167
Date October 28, 1999
[57]
F_ba 9561677372927686361 =
PRIME
F_pt 182851348367914603505306419763843158281 =
3 * 17209 * 1199089 * 308912707
Date August 2, 1997
[56]
F_ba 1827172728272717282 = NEAR PALINDROMIC
2 * 17 * 101 * 149 * 849217 * 4205081
F_pt 6677120357887130286820317887530217766 =
3 * 11 * 11 * 1429 * 9091 * 774923959
Date May 17, 1996
[55]
F_ba 1666614952453588943 =
13 * 109 * 761389 * 1544752211
F_pt 5555210799483757064607573849970125555 =
3 * 3 * 5 * 29531 * 2508271838563
Date April 25, 1996
[54]
F_ba 967877687832504861 =
3 * 103 * 3132290251885129
F_pt 1873574437207991455541997027344753781 =
233 * 4721 * 1759788812897
Date March 25, 1996
[53]
F_ba 123592172047762899 =
3 * 13 * 78367 * 40438322923
F_pt 30550049982967649594676928994005503 =
913687 * 270535034531
Date March 29, 1992
[52]
F_ba 56270393370816592 =
2 * 2 * 2 * 2 * 11 * 81239 * 3935525353
F_pt 6332714340212879669782120434172336 =
17 * 67 * 173 * 22277 * 25637957
Date October 11, 1995
[51]
F_ba 54556973614741455 =
3 * 3 * 5 * 11 * 13 * 17 * 498715422229
F_pt 5952926739999190550919999376292595 =
7 * 41 * 47 * 843559 * 9589259
Date September 30, 1995
[50]
F_ba 54050101714919965 =
5 * 10810020342983993
F_pt 5842826990786388228836870996282485 =
7 * 11 * 17 * 43 * 367 * 6343 * 825007
Date September 27, 1995
[49]
F_ba 39179467697750419 =
13 * 17 * 89 * 769 * 4679 * 553601
F_pt 3070061378158136996318518731600703 =
7 * 11 * 719 * 29501 * 47976899
Date October 2, 1995
[48]
F_ba 13277954159263749 =
3 * 73 * 60629927667871
F_pt 352608133311018969810113331806253 =
7 * 13 * 3931 * 74236369457
Date April 24, 1992
[47]
F_ba 2250495266170701 =
3 * 11 * 29 * 223 * 10545357391
F_pt 10129457886113466431168875492101 =
7 * 12163 * 219311 * 241051
Date July 5, 1991
[46]
F_ba 1864517945162972 =
2 * 2 * 11 * 4106521 * 10319053
F_pt 6952854335669501059665334582596 =
3 * 3 * 43 * 811 * 26951 * 440849
Date March 27, 1991
[45]
F_ba 1624954860315513 =
3 * 3 * 3 * 6991 * 41141 * 209249
F_pt 5280956596126015106216956590825 =
5 * 5 * 47 * 2765880613303
Date October 11, 1990
[44]
F_ba 176760310346462 =
2 * 47 * 4637 * 405527029
F_pt 62488414627554945572641488426 =
3 * 37 * 167 * 563 * 33874033
Date February 12, 1990
[43]
F_ba 163412656430015 =
5 * 32682531286003
F_pt 53407392563028082036529370435 =
3 * 19 * 5733777418597
Date January 31, 1990
[42]
F_ba 82201095219111 =
3 * 11 * 139 * 3121 * 5741893
F_pt 13514040110442624401104041531 =
36319 * 4526616659
Date January 14, 1990
[41]
F_ba 25182304403141 =
349 * 12899 * 5593891
F_pt 1268296910104884010196928621 =
3 * 7 * 11 * 37 * 103 * 57210341
[40]
F_ba 5711952918936 =
2 * 2 * 2 * 3 * 11 * 21636185299
F_pt 65252812296277269221825256 =
149 * 5503 * 13932493
[39]
F_ba 2031643008984 =
2 * 2 * 2 * 3 * 173 * 14503 * 33739
F_pt 8255146631905091366415528 =
11 * 369389637997
[38]
F_ba 208949080214 =
2 * 7 * 23 * 79 * 2053 * 4001
F_pt 87319436244344263491378 =
3 * 11 * 17 * 744916507
[37]
F_ba 202635166864 =
2 * 2 * 2 * 2 * 13 * 13 * 191 * 392351
F_pt 82122021699799612022128 =
7 * 209257 * 276673
[36]
F_ba 176234896626 =
2 * 3 * 61 * 109 * 367 * 12037
F_pt 62117477577377577471126 =
17657 * 19962043
[35]
F_ba 13347462829 =
PRIME
F_pt 356309527929725903653 =
1097 * 24334481
[34]
F_ba 8763870451 =
7 * 7 * 79 * 1039 * 2179
F_pt 153610850555058016351 =
11 * 19 * 89 * 942301
[33]
F_ba 2756800387 =
11 * 250618217
F_pt 15199896744769899151 =
5513600773
[32]
F_ba 1783816196 =
2 * 2 * 4457 * 100057
F_pt 6364000440440004636 =
3 * 3 * 3 * 233 * 567101
[31]
F_ba 1240058219 =
37 * 33515087
F_pt 3075488771778845703 =
3 * 3 * 275568493
[30]
F_ba 507354403 =
181 * 509 * 5507
F_pt 514816979979618415 =
5 * 11 * 18449251
[29]
F_ba 184252876 =
2 * 2 * 73 * 631003
F_pt 67898244444289876 =
131 * 137 * 20533
[28]
F_ba 181737182 = NEAR PALINDROMIC
2 * 11 * 1367 * 6043
F_pt 66056806460865066 =
3 * 7 * 17308303
[27]
F_ba 170563673 =
7 * 37 * 658547
F_pt 58183932923938185 =
3 * 5 * 13 * 13 * 53 * 2539
[26]
F_ba 91071921 =
3 * 19 * 1597753
F_pt 16588189498188561 =
11 * 11 * 131 * 11491
[25]
F_ba 25004441 =
7 * 11 * 324733
F_pt 1250444114440521 =
3 * 13 * 1282279
[24]
F_ba 17835196 =
2 * 2 * 43 * 97 * 1069
F_pt 636188414881636 =
19 * 1877389
[23]
F_ba 17352586 =
2 * 19 * 456647
F_pt 602224464422206 =
43 * 807097
[22]
F_ba 5555556 = NEAR PALINDROMIC
2 * 2 * 3 * 3 * 154321
F_pt 61728399382716 =
11 * 73 * 101 * 137
[21]
F_ba 1853942 =
2 * 926971
F_pt 6874200024786 =
3 * 3 * 3 * 191 * 719
[20]
F_ba 1620213 =
3 * 7 * 77153
F_pt 5250178710525 =
5 * 5 * 227 * 571
[19]
F_ba 810311 =
107 * 7573
F_pt 1313207023131 =
3 * 3 * 3 * 193 * 311
[18]
F_ba 83527 =
101 * 827
F_pt 13953435931 =
89 * 1877
[17]
F_ba 55556 = NEAR PALINDROMIC
2 * 2 * 17 * 19 * 43
F_pt 6172882716 =
3 * 7 * 11 * 13 * 37
[16]
F_ba 51425 =
5 * 5 * 11 * 11 * 17
F_pt 5289009825 =
3 * 34283
[15]
F_ba 25141 =
31 * 811
F_pt 1264114621 =
7 * 11 * 653
[14]
F_ba 1685 =
5 * 337
F_pt 5676765 =
3 * 1123
[13]
F_ba 1593 =
3 * 3 * 3 * 59
F_pt 5073705 =
5 * 7 * 7 * 13
[12]
F_ba 917 =
7 * 131
F_pt 1680861 =
3 * 13 * 47
[11]
F_ba 797 =
PALINDROMIC PRIME
F_pt 1269621 =
3 * 3 * 3 * 59
[10]
F_ba 644 =
2 * 2 * 7 * 23
F_pt 828828 =
3 * 3 * 11 * 13
[9]
F_ba 556 = NEAR PALINDROMIC
2 * 2 * 139
F_pt 617716 =
11 * 101
[8]
F_ba 182 = NEAR PALINDROMIC
2 * 7 * 13
F_pt 66066 =
3 * 11 * 11
[7]
F_ba 87 =
3 * 29
F_pt 15051 =
173
[6]
F_ba 55 = PALINDROMIC
5 * 11
F_pt 5995 =
109
[5]
F_ba 39 =
3 * 13
F_pt 3003 =
7 * 11
[4]
F_ba 6 = PALINDROMIC
2 * 3
F_pt 66 =
11
[3]
F_ba 2 =
PALINDROMIC PRIME
F_pt 6 =
3
[2]
F_ba 1 = PALINDROMIC
1
F_pt 1 =
1
[1]
F_ba 0 = PALINDROMIC
0
F_pt 0 =
0
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( © All rights reserved ) - Last modified : September 24, 2023.
Patrick De Geest - Belgium 
- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com
Factorization of the
Palindromic Hexagonals