HOME plateWON | World!OfNumbers Factorization of thePalindromic Nonagonals Palindromic Nonagonals

Legend
```
F_ba  Decomposition of the basenumber in its prime factors.
F_po  Decomposition of the palindromic nonagonal.
Note : a palindromic nonagonal will always be divisible by its basenumber when this
last one is 'odd'. With 'even' basenumbers you'll notice that the nonagonals
are always divisible by half their basenumbers.
To reconstruct the nonagonals 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.
Hypertext links to related topics in number theory

```

Factorizations
```

[52]
F_ba  115254230534871709541072 =
2  x  2  x  2  x  2  x  7203389408429481846317
F_po  46492381796648740224886168842204784669718329464 =
3  x  139  x  358051  x  5403485241907897
Date  January 6, 2008 (Feng Yuan)

[51]
F_ba  522755911437759066613 =
7 x 7 x 7 x 13 x 43 x 2726421668419549
F_po  956458100300927701829928107729003001854659 =
11  x  49380497  x  3368362743829
Date  January 6, 2008 (Feng Yuan)

[50]
F_ba  198343896557195374949 =
83  x  30689  x  77867819110727
F_po  137691054555219967590095769912555450196731 =
3  x  3  x  11  x  73943  x  5106781  x  18569807
Date  January 6, 2008 (Feng Yuan)

[49]
F_ba  21052483436370199814 =
2  x  7  x  11  x  13  x  59  x  61  x  103  x  28367442931
F_po  1551224705935245659449565425395074221551 =
3  x  41  x  419  x  1069  x  2674881423881
Date  January 4, 2008 (Feng Yuan)

[48]
F_ba  11547031421292227747 =
707886083  x  16311991009
F_po  466668771255085018151810580552177866664 =
2  x  2  x  2  x  3  x  11  x  19  x  1259  x  110749  x  57785027
Date  January 4, 2008 (Feng Yuan)

[47]
F_ba  10973370993981638987 =
23  x  31  x  47  x  89  x  181081  x  20318413
F_po  421452048400451542646245154004840254124 =
2  x  2  x  3  x  3  x  101  x  23879  x  442352103283
Date  January 4, 2008 (Feng Yuan)

[46]
F_ba  3672784064195630087 =
11  x  23  x  42250391  x  343592869
F_po  47212699737732795788759723773799621274 =
2  x  3  x  49211  x  193873  x  224560139
Date  January 4, 2008 (Feng Yuan)

[45]
F_ba  446339713063722379 =
11  x  40576337551247489
F_po  697266988102321088880123201889662796 =
2  x  2  x  101  x  3866804444858981
Date  January 4, 2008 (Feng Yuan)

[44]
F_ba  18287529802802806 =
2  x  7  x  13  x  353  x  3511  x  81073351
F_po  1170518112009402882049002118150711 =
11  x  17  x  641  x  1067956223311
Date  April 5, 2002 (Feng Yuan)

[43]
F_ba  16084074672143002 =
2  x  7  x  83  x  463  x  29895716167
F_po  905441103206752020257602301144509 =
4519  x  872033  x  28570567
Date  April 5, 2002 (Feng Yuan)

[42]
F_ba  14107415463308179 =
83  x  227  x  67489  x  11094571
F_po  696567098690353494353096890765696 =
2  x  2  x  2  x  2  x  2  x  2  x  2  x  37  x  63901  x  163153409
Date  April 5, 2002 (Feng Yuan)

[41]
F_ba  13543695809405311 =
11  x  151  x  2720239  x  2997509
F_po  642010936621960404069126639010246 =
2  x  23701467666459293
Date  April 5, 2002 (Feng Yuan)

[40]
F_ba  13267696935194771 =
761  x  30553  x  570633187
F_po  616111236874618484816478632111616 =
2  x  2  x  2  x  2  x  2  x  2  x  2  x  2  x  2  x  3  x  23  x  101  x  86249  x  150893
Date  April 5, 2002 (Feng Yuan)

[39]
F_ba  4340322549816 =
2  x  2  x  2  x  3  x  11  x  11  x  1494601429
F_po  65934399427533572499343956 =
1913  x  75937  x  209147
Date  April 5, 2002 (Feng Yuan)

[38]
F_ba  3696823830487 =
137  x  26984115551
F_po  47832772517788771527723874 =
2  x  11  x  73  x  101  x  79768217
Date  April 5, 2002 (Feng Yuan)

[37]
F_ba  2053636735146 =
2  x  3  x  23  x  61  x  14653  x  16649
F_po  14760983439788793438906741 =
11  x  1306859740547
Date  April 5, 2002 (Feng Yuan)

[36]
F_ba  386688531610 =
2  x  5  x  37537  x  1030153
F_po  523348071674476170843325 =
5  x  11  x  49214904023
Date  April 5, 2002 (Feng Yuan)

[35]
F_ba  172428811826 =
2  x  23  x  3748452431
F_po  104060933016610339060401 =
3  x  11  x  877  x  929  x  44893
Date  April 5, 2002 (Feng Yuan)

[34]
F_ba  139168803139 =
307  x  453318577
F_po  67787845184648154878776 =
2  x  2  x  2  x  953  x  63889141
Date  April 5, 2002 (Feng Yuan)

[33]
F_ba  115589719272 =
2  x  2  x  2  x  3  x  149  x  32323747
F_po  46763441204540214436764 =
107069  x  7557071
Date  April 5, 2002 (Feng Yuan)

[32]
F_ba  75356090494 =
2  x  19  x  89  x  22281517
F_po  19874891310701319847891 =
127487  x  4137619
Date  April 5, 2002 (Feng Yuan)

[31]
F_ba  21633254881 =
7  x  571  x  1949  x  2777
F_po  1637992008558002997361 =
11  x  23  x  11047  x  27091
Date  April 5, 2002 (Feng Yuan)

[30]
F_ba  11947307367 =
3  x  3982435789
F_po  499583536595635385994 =
2  x  19  x  197  x  2029  x  2753
Date  April 5, 2002 (Feng Yuan)

[29]
F_ba  1641773578 =
2  x  29  x  31  x  41  x  22271
F_po  9433971680861793349 =
6679  x  1720679
Date  April 5, 2002 (Feng Yuan)

[28]
F_ba  1121857192 =
2  x  2  x  2  x  140232149
F_po  4404972454542794044 =
8527  x  920957
Date  April 5, 2002 (Feng Yuan)

[27]
F_ba  708609429 =
3  x  3  x  11  x  83  x  83  x  1039
F_po  1757445628265447571 =
2480132999
Date  April 5, 2002 (Feng Yuan)

[26]
F_ba  521037077 =
11  x  503  x  94169
F_po  950178723327871059 =
3  x  37  x  1153  x  14249
Date  April 5, 2002 (Feng Yuan)

[25]
F_ba  350096787 =
3  x  3  x  29  x  137  x  9791
F_po  428987160061789824 =
2  x  2  x  2  x  2  x  2  x  2  x  2  x  11  x  487  x  1787
Date  April 5, 2002 (Feng Yuan)

[24]
F_ba  168566853 =
3  x  7  x  13  x  13  x  47497
F_po  99451743334715499 =
107  x  467  x  11807
Date  April 5, 2002 (Feng Yuan)

[23]
F_ba  446904 =
2  x  2  x  2  x  3  x  3  x  3  x  2069
F_po  699030030996 =
11  x  17  x  16729
Date  April 5, 2002 (Feng Yuan)

[22]
F_ba  435644 =
2  x  2  x  11  x  9901
F_po  664248842466 =
3  x  37  x  83  x  331
Date  April 5, 2002 (Feng Yuan)

[21]
F_ba  132619 =
PRIME
F_po  61556965516 =
2  x  2  x  116041
Date  April 5, 2002 (Feng Yuan)

[20]
F_ba  52642 =
2  x  26321
F_po  9698998969 =
11  x  139  x  241
Date  April 5, 2002 (Feng Yuan)

[19]
F_ba  18729 =
3  x  3  x  2081
F_po  1227667221 =
11  x  59  x  101
Date  April 5, 2002 (Feng Yuan)

[18]
F_ba  16853 =
19  x  887
F_po  994040499 =
3  x  19661
Date  April 5, 2002 (Feng Yuan)

[17]
F_ba  16318 =
2  x  41  x  199
F_po  931929139 =
114221
Date  April 5, 2002 (Feng Yuan)

[16]
F_ba  12870 =
2  x  3  x  3  x  5  x  11  x  13
F_po  579696975 =
5  x  43  x  419
Date  April 5, 2002 (Feng Yuan)

[15]
F_ba  11472 =
2  x  2  x  2  x  2  x  3  x  239
F_po  460595064 =
59  x  1361
Date  April 5, 2002 (Feng Yuan)

[14]
F_ba  11323 =
13  x  13  x  67
F_po  448707844 =
2  x  2  x  9907
Date  April 5, 2002 (Feng Yuan)

[13]
F_ba  4070 =
2  x  5  x  11  x  37
F_po  57966975 =
3  x  3  x  3  x  5  x  211
Date  April 5, 2002 (Feng Yuan)

[12]
F_ba  2101 =
11  x  191
F_po  15444451 =
7351
Date  April 5, 2002 (Feng Yuan)

[11]
F_ba  1411 =
17  x  83
F_po  6964696 =
2  x  2  x  2  x  617
Date  April 5, 2002 (Feng Yuan)

[10]
F_ba  1123 =
PRIME
F_po  4411144 =
2  x  2  x  2  x  491
Date  April 5, 2002 (Feng Yuan)

[9]
F_ba  139 =
PRIME
F_po  67267 =
491
Date  April 5, 2002 (Feng Yuan)

[8]
F_ba  74 =
2  x  37
F_po  18981 =
3  x  3  x  3  x  19
Date  April 5, 2002 (Feng Yuan)

[7]
F_ba  44 =
2  x  2  x  11
F_po  6666 =
3  x  101
Date  April 5, 2002 (Feng Yuan)

[6]
F_ba  17 =
PRIME
F_po  969 =
57
Date  April 5, 2002 (Feng Yuan)

[5]
F_ba  12 =
2  x  2  x  3
F_po  474 =
79
Date  April 5, 2002 (Feng Yuan)

[4]
F_ba  6 =
2  x  3
F_po  111 =
37
Date  April 5, 2002 (Feng Yuan)

[3]
F_ba  2 =
PRIME
F_po  9 =
3  x  3
Date  April 5, 2002 (Feng Yuan)

[2]
F_ba  1 =
1
F_po  1 =
1
Date  April 5, 2002 (Feng Yuan)

[1]
F_ba  0 =
0
F_po  0 =
0
Date  April 5, 2002 (Feng Yuan)

```