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Details of Palindromic Triangulars
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Legend


F_ba  Decomposition of the basenumber in its prime factors.
F_pt  Decomposition of the palindromic triangular.
      Note : a palindromic triangular will always be divisible by its basenumber when this
             last one is 'odd'. With 'even' basenumbers you'll notice that the triangulars
             are always divisible by half their basenumbers.
             To reconstruct the triangular you must take into account the green together with
             the purple prime factors but not the black 2.
Date  Date of discovery by the author.
blue     Hypertext links to related topics in number theory 
Comm  Comments about the palindromic triangular number.


Factorization


back [99]
F_ba  36543454565436 =
      2 * 2 * 3 * 3 * 7 * 13 * 101 * 383 * 457 * 631
F_pt  667712035788060887530217766 =
      37 * 987660934201

back [98]
F_ba  26515516477982 =
      2 * 7 * 37 * 89 * 191 * 3011251
F_pt  351536307047080740703635153 =
      3 * 13 * 13 * 23 * 14537 * 156419

back [97]
F_ba  11423905837871 =
      149 * 5503 * 13932493
F_pt  65252812296277269221825256 =
      2 * 2 * 2 * 3 * 11 * 21636185299

back [96]
F_ba  10865723925034 =
      2 * 11 * 29 * 17030915243
F_pt  59031978207533570287913095 =
      5 * 7 * 709 * 437869189

back [95]
F_ba  7747137817122 =
      2 * 3 * 11 * 19 * 6177940843
F_pt  30009072178744787127090003 =
      101 * 179 * 428515837

back [94]
F_ba  5052120436318 =
      2 * 31 * 23833 * 3419033
F_pt  12761960451533515406916721 =
      11 * 47 * 101 * 199 * 486193

back [93]
F_ba  4063286017967 =
      11 * 369389637997
F_pt  8255146631905091366415528 =
      2 * 2 * 2 * 3 * 173 * 14503 * 33739

back [92]
F_ba  2466444446642 = PALINDROMIC
      2 * 11 * 11 * 30427 * 334963
F_pt  3041674104186814014761403 =
      3 * 229 * 1741 * 2062129

back [91]
F_ba  1325269593372 =
      2 * 2 * 3 * 110439132781
F_pt  878169747558855747961878 =
      11 * 120479053943

back [90]
F_ba  529670494286 =
      2 * 1871 * 141547433
F_pt  140275416258852614572041 =
      3 * 3 * 11 * 29 * 31 * 31 * 191977

back [89]
F_ba  417898160427 =
      3 * 11 * 17 * 744916507
F_pt  87319436244344263491378 =
      2 * 7 * 23 * 79 * 2053 * 4001

back [88]
F_ba  405270333727 =
      7 * 209257 * 276673
F_pt  82122021699799612022128 =
      2 * 2 * 2 * 2 * 13 * 13 * 191 * 392351

back [87]
F_ba  353922263876 =
      2 * 2 * 34031 * 2599999
F_pt  62630484433733448403626 =
      3 * 7 * 13 * 23767 * 54547

back [86]
F_ba  352469793251 =
      17657 * 19962043
F_pt  62117477577377577471126 =
      3 * 61 * 109 * 367 * 24074

back [85]
F_ba  266444444662 = PALINDROMIC
      2 * 11 * 43 * 9901 * 28447
F_pt  35496321045754012369453 =
      266444444663

back [84]
F_ba  246644446642 = PALINDROMIC
      2 * 11 * 2549 * 4398239
F_pt  30416741529792514761403 =
      7 * 74609 * 472261

back [83]
F_ba  104561417190 =
      2 * 3 * 5 * 29 * 59 * 2037043
F_pt  5466544982442894456645 =
      7 * 11 * 13147 * 103289

back [82]
F_ba  62747896738 =
      2 * 31373948369
F_pt  1968649272552729468691 =
      11 * 11 * 19 * 239 * 114199

back [81]
F_ba  49786655918 =
      2 * 97 * 389 * 659723
F_pt  1239355553773555539321 =
      3 * 7 * 11 * 13 * 16578973

back [80]
F_ba  36657342048 =
      2 * 2 * 2 * 2 * 2 * 3 * 19 * 773 * 25999
F_pt  671880363030363088176 =
      36657342049

back [79]
F_ba  26694925657 =
      1097 * 24334481
F_pt  356309527929725903653 =
      13347462829

back [78]
F_ba  26644444662 = PALINDROMIC
      2 * 3 * 11 * 11 * 37 * 991901
F_pt  354963215686512369453 =
      53 * 59 * 173 * 49253

back [77]
F_ba  24888030682 =
      2 * 12444015341
F_pt  309707035626530707903 =
      61 * 2251 * 181253

back [76]
F_ba  17527740901 =
      11 * 19 * 89 * 942301
F_pt  153610850555058016351 =
      7 * 7 * 79 * 1039 * 2179

back [75]
F_ba  14667896198 =
      2 * 7333948099
F_pt  107573589444985375701 =
      3 * 11 * 37 * 12013019

back [74]
F_ba  11151642876 =
      2 * 2 * 3 * 11 * 43 * 313 * 6277
F_pt  62179569422496597126 =
      67 * 166442431

back [73]
F_ba  5513600773 = PRIME
      5513600773
F_pt  15199896744769899151 =
      11 * 250618217

back [72]
F_ba  3567632391 =
      3 * 3 * 3 * 233 * 567101
F_pt  6364000440440004636 =
      2 * 2 * 4457 * 100057

back [71]
F_ba  2664444662 = PALINDROMIC
      2 * 11 * 121111121
F_pt  3549632679762369453 =
      3 * 3 * 17 * 379 * 45949

back [70]
F_ba  2480116437 =
      3 * 3 * 275568493
F_pt  3075488771778845703 =
      37 * 33515087

back [69]
F_ba  1014708805 =
      5 * 11 * 18449251
F_pt  514816979979618415 =
      181 * 509 * 5507

back [68]
F_ba  846122222 =
      2 * 11 * 38460101
F_pt  357961407704169753 =
      3 * 43 * 1987 * 3301

back [67]
F_ba  368505751 =
      131 * 137 * 20533
F_pt  67898244444289876 =
      2 * 2 * 73 * 631003

back [66]
F_ba  363474363 = PALINDROMIC
      3 * 7 * 17308303
F_pt  66056806460865066 =
      2 * 11 * 1367 * 6043

back [65]
F_ba  341127345 =
      3 * 5 * 13 * 13 * 53 * 2539
F_pt  58183932923938185 =
      7 * 37 * 658547

back [64]
F_ba  182143841 =
      11 * 11 * 131 * 11491
F_pt  16588189498188561 =
      3 * 19 * 1597753

back [63]
F_ba  149721058 =
      2 * 1187 * 63067
F_pt  11208197679180211 =
      149721059

back [62]
F_ba  149142458 =
      2 * 71 * 101 * 10399
F_pt  11121736463712111 =
      3 * 3637 * 13669

back [61]
F_ba  128127032 =
      2 * 2 * 2 * 11 * 19 * 76631
F_pt  8208268228628028 =
      3 * 3 * 14236337

back [60]
F_ba  109656228 =
      2 * 2 * 3 * 11 * 830729
F_pt  6012244224422106 =
      109656229

back [59]
F_ba  59009818 =
      2 * 7 * 7 * 602141
F_pt  1741079339701471 =
      11 * 641 * 8369

back [58]
F_ba  56524698 =
      2 * 3 * 3 * 251 * 12511
F_pt  1597520770257951 =
      7 * 11 * 734087

back [57]
F_ba  50008881 =
      3 * 13 * 1282279
F_pt  1250444114440521 =
      7 * 11 * 324733

back [56]
F_ba  37009916 =
      2 * 2 * 29 * 37 * 8623
F_pt  684866959668486 =
      3 * 3 * 7 * 587459

back [55]
F_ba  36979108 =
      2 * 2 * 9244777
F_pt  683727232727386 =
      67 * 551927

back [54]
F_ba  36929908 =
      2 * 2 * 9232477
F_pt  681909070909186 =
      36929909

back [53]
F_ba  36545436 =
      2 * 2 * 3 * 3 * 19 * 23 * 23 * 101
F_pt  667784464487766 =
      36545437

back [52]
F_ba  35670391 =
      19 * 1877389
F_pt  636188414881636 =
      2 * 2 * 43 * 97 * 1069

back [51]
F_ba  34705171 =
      43 * 807097
F_pt  602224464422206 =
      2 * 19 * 456647

back [50]
F_ba  34456434 =
      2 * 3 * 787 * 7297
F_pt  593622939226395 =
      5 * 13 * 37 * 14327

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