HOME plateWON | World!OfNumbers Factorization of thePalindromic Hexagonals 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.
Hypertext links to related topics in number theory

```

Factorizations
```

[62]
F_ba  13269591374387166732749 =
11  x  509  x  123553  x  19181995591667
F_pt  352164110486420593101030101395024684011461253 =
3  x  3  x  3  x  677  x  19661  x  141101  x  523358663
Date  January 4, 2008 (Feng Yuan)

[61]
F_ba  2902825573527004575021 =
3  x  3  x  3  x  11  x  11  x  13  x  17  x  23  x  281  x  153469  x  4053449
F_pt  16852792620644766088388388066744602629725861 =
1429  x  153395789  x  26485322761
Date  January 4, 2008 (Feng Yuan)

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

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

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

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

[56]
F_ba  1827172728272717282 = NEAR PALINDROMIC
2  x  17  x  101  x  149  x  849217  x  4205081
F_pt  6677120357887130286820317887530217766 =
3  x  11  x  11  x  1429  x  9091  x  774923959
Date  May 17, 1996

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[35]
F_ba  13347462829 =
PRIME
F_pt  356309527929725903653 =
1097  x  24334481

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

[33]
F_ba  2756800387 =
11  x  250618217
F_pt  15199896744769899151 =
5513600773

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[7]
F_ba  87 =
3  x  29
F_pt  15051 =
173

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

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

[4]
F_ba  6 = PALINDROMIC
2  x  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

```