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Factorization of the
Palindromic Hexagonals
rood Palindromic Hexagonals


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. blue Hypertext links to related topics in number theory Comm Comments about the palindromic hexagonal number.


Factorization


back [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 )

back [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 )

back [81]
F_ba  2755156575179618913249404977387 =
      11 * 146669 * 260453060311 * 6556707410563
F_pt  15181775507510974169398336861133116863389396147901570557718151 =
      5510313150359237826498809954773
Date  September 18, 2023 ( Patrick De Geest / CUDA code by Robert Xiao )

back [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 )

back [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 )

back [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 )

back [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 )

back [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 )

back [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 )

back [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 )

back [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 )

back [72]
F_ba  232381414676970907940093601 =
      3 * 11 * 486924413011 * 14461918241627
F_pt  108002243774540620212510333333015212026045477342200801 =
      464762829353941815880187201
Date  November 22, 2022 ( David Griffeath / CUDA code by Robert Xiao )

back [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 )

back [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 )

back [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 )

back [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 )

back [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 )

back [66]
F_ba  1640970415884137024922823 =
      7 * 656479 * 888157 * 402061168363
F_pt  5385567811613915254381275721834525193161187655835 =
      5 * 656388166353654809969129
Date  November 6, 2022 ( David Griffeath / Rust code by Robert Xiao )

back [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 )

back [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 )

back [63]
F_ba  13269591374387166732749 =
      11 * 509 * 123553 * 19181995591667
F_pt  352164110486420593101030101395024684011461253 =
      3 * 3 * 3 * 677 * 19661 * 141101 * 523358663
Date  January 4, 2008 ( Feng Yuan )

back [62]
F_ba  12432083271361292035379 =
      11083 * 48857 * 22959360170209
F_pt  309113388932122569558171855965221239883311903 =
      3 * 1297 * 128393 * 49770422637839
Date  December 6, 2022 ( Robert Xiao )

back [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 )

back [60]
F_ba  166735172845051317043 =
      100045471 * 1666593911533
F_pt  55601235727338276212021267283372753210655 =
      5 * 23 * 21661 * 303959 * 440418821
Date  April 18, 2000

back [59]
F_ba  95800231113659236061 =
      2 * 2477 * 38675910825054193
F_pt  18355368562861046305450364016826586355381 =
      3 * 17 * 47 * 197 * 503 * 8693 * 92795011
Date  April 22, 2000

back [58]
F_ba  17684912039911051426 =
      2 * 30253 * 8817409 * 33148469
F_pt  625512227718781732353237187817722215526 =
      53 * 667355171317398167
Date  October 28, 1999

back [57]
F_ba  9561677372927686361 =
      PRIME
F_pt  182851348367914603505306419763843158281 =
      3 * 17209 * 1199089 * 308912707
Date  August 2, 1997

back [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

back [55]
F_ba  1666614952453588943 =
      13 * 109 * 761389 * 1544752211
F_pt  5555210799483757064607573849970125555 =
      3 * 3 * 5 * 29531 * 2508271838563
Date  April 25, 1996

back [54]
F_ba  967877687832504861 =
      3 * 103 * 3132290251885129
F_pt  1873574437207991455541997027344753781 =
      233 * 4721 * 1759788812897
Date  March 25, 1996

back [53]
F_ba  123592172047762899 =
      3 * 13 * 78367 * 40438322923
F_pt  30550049982967649594676928994005503 =
      913687 * 270535034531
Date  March 29, 1992

back [52]
F_ba  56270393370816592 =
      2 * 2 * 2 * 2 * 11 * 81239 * 3935525353
F_pt  6332714340212879669782120434172336 =
      17 * 67 * 173 * 22277 * 25637957
Date  October 11, 1995

back [51]
F_ba  54556973614741455 =
      3 * 3 * 5 * 11 * 13 * 17 * 498715422229
F_pt  5952926739999190550919999376292595 =
      7 * 41 * 47 * 843559 * 9589259
Date  September 30, 1995

back [50]
F_ba  54050101714919965 =
      5 * 10810020342983993
F_pt  5842826990786388228836870996282485 =
      7 * 11 * 17 * 43 * 367 * 6343 * 825007
Date  September 27, 1995

back [49]
F_ba  39179467697750419 =
      13 * 17 * 89 * 769 * 4679 * 553601
F_pt  3070061378158136996318518731600703 =
      7 * 11 * 719 * 29501 * 47976899
Date  October 2, 1995

back [48]
F_ba  13277954159263749 =
      3 * 73 * 60629927667871
F_pt  352608133311018969810113331806253 =
      7 * 13 * 3931 * 74236369457
Date  April 24, 1992

back [47]
F_ba  2250495266170701 =
      3 * 11 * 29 * 223 * 10545357391
F_pt  10129457886113466431168875492101 =
      7 * 12163 * 219311 * 241051
Date  July 5, 1991

back [46]
F_ba  1864517945162972 =
      2 * 2 * 11 * 4106521 * 10319053
F_pt  6952854335669501059665334582596 =
      3 * 3 * 43 * 811 * 26951 * 440849
Date  March 27, 1991

back [45]
F_ba  1624954860315513 =
      3 * 3 * 3 * 6991 * 41141 * 209249
F_pt  5280956596126015106216956590825 =
      5 * 5 * 47 * 2765880613303
Date  October 11, 1990

back [44]
F_ba  176760310346462 =
      2 * 47 * 4637 * 405527029
F_pt  62488414627554945572641488426 =
      3 * 37 * 167 * 563 * 33874033
Date  February 12, 1990

back [43]
F_ba  163412656430015 =
      5 * 32682531286003
F_pt  53407392563028082036529370435 =
      3 * 19 * 5733777418597
Date  January 31, 1990

back [42]
F_ba  82201095219111 =
      3 * 11 * 139 * 3121 * 5741893
F_pt  13514040110442624401104041531 =
      36319 * 4526616659
Date  January 14, 1990

back [41]
F_ba  25182304403141 =
      349 * 12899 * 5593891
F_pt  1268296910104884010196928621 =
      3 * 7 * 11 * 37 * 103 * 57210341

back [40]
F_ba  5711952918936 =
      2 * 2 * 2 * 3 * 11 * 21636185299
F_pt  65252812296277269221825256 =
      149 * 5503 * 13932493

back [39]
F_ba  2031643008984 =
      2 * 2 * 2 * 3 * 173 * 14503 * 33739
F_pt  8255146631905091366415528 =
      11 * 369389637997

back [38]
F_ba  208949080214 =
      2 * 7 * 23 * 79 * 2053 * 4001
F_pt  87319436244344263491378 =
      3 * 11 * 17 * 744916507

back [37]
F_ba  202635166864 =
      2 * 2 * 2 * 2 * 13 * 13 * 191 * 392351
F_pt  82122021699799612022128 =
      7 * 209257 * 276673

back [36]
F_ba  176234896626 =
      2 * 3 * 61 * 109 * 367 * 12037
F_pt  62117477577377577471126 =
      17657 * 19962043

back [35]
F_ba  13347462829 =
      PRIME
F_pt  356309527929725903653 =
      1097 * 24334481

back [34]
F_ba  8763870451 =
      7 * 7 * 79 * 1039 * 2179
F_pt  153610850555058016351 =
      11 * 19 * 89 * 942301

back [33]
F_ba  2756800387 =
      11 * 250618217
F_pt  15199896744769899151 =
      5513600773

back [32]
F_ba  1783816196 =
      2 * 2 * 4457 * 100057
F_pt  6364000440440004636 =
      3 * 3 * 3 * 233 * 567101

back [31]
F_ba  1240058219 =
      37 * 33515087
F_pt  3075488771778845703 =
      3 * 3 * 275568493

back [30]
F_ba  507354403 =
      181 * 509 * 5507
F_pt  514816979979618415 =
      5 * 11 * 18449251

back [29]
F_ba  184252876 =
      2 * 2 * 73 * 631003
F_pt  67898244444289876 =
      131 * 137 * 20533

back [28]
F_ba  181737182 = NEAR PALINDROMIC
      2 * 11 * 1367 * 6043
F_pt  66056806460865066 =
      3 * 7 * 17308303

back [27]
F_ba  170563673 =
      7 * 37 * 658547
F_pt  58183932923938185 =
      3 * 5 * 13 * 13 * 53 * 2539

back [26]
F_ba  91071921 =
      3 * 19 * 1597753
F_pt  16588189498188561 =
      11 * 11 * 131 * 11491

back [25]
F_ba  25004441 =
      7 * 11 * 324733
F_pt  1250444114440521 =
      3 * 13 * 1282279

back [24]
F_ba  17835196 =
      2 * 2 * 43 * 97 * 1069
F_pt  636188414881636 =
      19 * 1877389

back [23]
F_ba  17352586 =
      2 * 19 * 456647
F_pt  602224464422206 =
      43 * 807097

back [22]
F_ba  5555556 = NEAR PALINDROMIC
      2 * 2 * 3 * 3 * 154321
F_pt  61728399382716 =
      11 * 73 * 101 * 137

back [21]
F_ba  1853942 =
      2 * 926971
F_pt  6874200024786 =
      3 * 3 * 3 * 191 * 719

back [20]
F_ba  1620213 =
      3 * 7 * 77153
F_pt  5250178710525 =
      5 * 5 * 227 * 571

back [19]
F_ba  810311 =
      107 * 7573
F_pt  1313207023131 =
      3 * 3 * 3 * 193 * 311

back [18]
F_ba  83527 =
      101 * 827
F_pt  13953435931 =
      89 * 1877

back [17]
F_ba  55556 = NEAR PALINDROMIC
      2 * 2 * 17 * 19 * 43
F_pt  6172882716 =
      3 * 7 * 11 * 13 * 37

back [16]
F_ba  51425 =
      5 * 5 * 11 * 11 * 17
F_pt  5289009825 =
      3 * 34283

back [15]
F_ba  25141 =
      31 * 811
F_pt  1264114621 =
      7 * 11 * 653

back [14]
F_ba  1685 =
      5 * 337
F_pt  5676765 =
      3 * 1123

back [13]
F_ba  1593 =
      3 * 3 * 3 * 59
F_pt  5073705 =
      5 * 7 * 7 * 13

back [12]
F_ba  917 =
      7 * 131
F_pt  1680861 =
      3 * 13 * 47

back [11]
F_ba  797 =
      PALINDROMIC PRIME
F_pt  1269621 =
      3 * 3 * 3 * 59

back [10]
F_ba  644 =
      2 * 2 * 7 * 23
F_pt  828828 =
      3 * 3 * 11 * 13

back [9]
F_ba  556 = NEAR PALINDROMIC
      2 * 2 * 139
F_pt  617716 =
      11 * 101

back [8]
F_ba  182 = NEAR PALINDROMIC
      2 * 7 * 13
F_pt  66066 =
      3 * 11 * 11

back [7]
F_ba  87 =
      3 * 29
F_pt  15051 =
      173

back [6]
F_ba  55 = PALINDROMIC
      5 * 11
F_pt  5995 =
      109

back [5]
F_ba  39 =
      3 * 13
F_pt  3003 =
      7 * 11

back [4]
F_ba  6 = PALINDROMIC
      2 * 3
F_pt  66 =
      11

back [3]
F_ba  2 =
      PALINDROMIC PRIME
F_pt  6 =
      3

back [2]
F_ba  1 = PALINDROMIC
      1
F_pt  1 =
      1

back [1]
F_ba  0 = PALINDROMIC
      0
F_pt  0 =
      0



 

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