HOME plateWON | World!OfNumbers Details of Palindromic Triangulars[1] upto [49] The Details [50] to [99] The Details [100] to [149] Full Listing The Subsets

Legend
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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.
Hypertext links to related topics in number theory

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Factorizations
```
[49]
F_ba  33062934 =
2  x  3  x  5510489
F_pt  546578818875645 =
5  x  97  x  68171

[48]
F_ba  32850970 =
2  x  5  x  17  x  173  x  1117
F_pt  539593131395935 =
67  x  490313

[47]
F_ba  31643910 =
2  x  3  x  3  x  5  x  351599
F_pt  500668535866005 =
13  x  19  x  128113

[46]
F_ba  26743422 =
2  x  3  x  727  x  6131
F_pt  357605323506753 =
7  x  29  x  47  x  2803

[45]
F_ba  15126258 =
2  x  3  x  7  x  139  x  2591
F_pt  114401848104411 =
2309  x  6551

[44]
F_ba  12812392 =
2  x  2  x  2  x  113  x  14173
F_pt  82078700787028 =
11  x  31  x  37573

[43]
F_ba  11631048 =
2  x  2  x  2  x  3  x  11  x  13  x  3389
F_pt  67640644604676 =
167  x  257  x  271

[42]
F_ba  11111111 = PALINDROMIC
11  x  73  x  101  x  137
F_pt  61728399382716 =
2  x  2  x  3  x  3  x  154321

[41]
F_ba  6307938 =
2  x  3  x  3  x  7  x  13  x  3851
F_pt  19895044059891 =
11  x  109  x  5261

[40]
F_ba  3707883 =
3  x  3  x  3  x  191  x  719
F_pt  6874200024786 =
2  x  926971
Divide the basenumber into groups of three and add them up :
003 + 707 + 883 = 1593
1593 is the basenumber of palindromic triangular [17]

The sum of the factors of the basenumbers add up to a palindrome :
3 + 3 + 3 + 191 + 719 =  919

[39]
F_ba  3457634 =
2  x  101  x  17117
F_pt  5977618167795 =
3  x  5  x  353  x  653

[38]
F_ba  3240425 =
5  x  5  x  227  x  571
F_pt  5250178710525 =
3  x  7  x  77153
The sum of the factors of the basenumbers add up to a palindrome :
5 + 5 + 227 + 571 =  808

[37]
F_ba  1620621 =
3  x  3  x  3  x  193  x  311
F_pt  1313207023131 =
107  x  7573

[36]
F_ba  417972 =
2  x  2  x  3  x  61  x  571
F_pt  87350505378 =
31  x  97  x  139

[35]
F_ba  365436 =
2  x  2  x  3  x  3  x  10151
F_pt  66771917766 =
71  x  5147

[34]
F_ba  342270 =
2  x  3  x  3  x  5  x  3803
F_pt  58574547585 =
31  x  61  x  181

[33]
F_ba  337650 =
2  x  3  x  5  x  5  x  2251
F_pt  57003930075 =
337651

[32]
F_ba  246642 = PALINDROMIC
2  x  3  x  11  x  37  x  101
F_pt  30416261403 =
246643
The string  30416261403  was found at position 36111197
counting from the first digit after the decimal point. The 3. is not counted.
The -Search Page now serving 200.000.000 digits

[31]
F_ba  179158 =
2  x  7  x  67  x  191
F_pt  16048884061 =
97  x  1847
Separate the basenumber into two parts of three digits each and multiply them :
179 x 158 =  28282  which is a palindrome !

[30]
F_ba  167053 =
89  x  1877
F_pt  13953435931 =
101  x  827

[29]
F_ba  111111 = PALINDROMIC
3  x  7  x  11  x  13  x  37
F_pt  6172882716 =
2  x  2  x  17  x  19  x  43

[28]
F_ba  102849 =
3  x  34283
F_pt  5289009825 =
5  x  5  x  11  x  11  x  17

[27]
F_ba  57166 =
2  x  101  x  283
F_pt  1634004361 =
11  x  5197

[26]
F_ba  50281 =
7  x  11  x  653
F_pt  1264114621 =
31  x  811

[25]
F_ba  18906 =
2  x  3  x  23  x  137
F_pt  178727871 =
7  x  37  x  73

[24]
F_ba  11088 =
2  x  2  x  2  x  2  x  3  x  3  x  7  x  11
F_pt  61477416 =
13  x  853

[23]
F_ba  8382 =
2  x  3  x  11  x  127
F_pt  35133153 =
83  x  101

[22]
F_ba  3548 =
2  x  2  x  887
F_pt  6295926 =
3  x  7  x  13  x  13

[21]
F_ba  3369 =
3  x  1123
F_pt  5676765 =
5  x  337

[20]
F_ba  3185 =
5  x  7  x  7  x  13
F_pt  5073705 =
3  x  3  x  3  x  59

[19]
F_ba  2662 = PALINDROMIC
2  x  11  x  11  x  11
F_pt  3544453 =
2663

[18]
F_ba  1833 =
3  x  13  x  47
F_pt  1680861 =
7  x  131

[17]
F_ba  1593 =
3  x  3  x  3  x  59
F_pt  1269621 =
797

[16]
F_ba  1287 =
3  x  3  x  11  x  13
F_pt  828828 =
2  x  2  x  7  x  23

[15]
F_ba  1111 = PALINDROMIC
11  x  101
F_pt  617716 =
2  x  2  x  139

[14]
F_ba  363 = PALINDROMIC
3  x  11  x  11
F_pt  66066 =
2  x  7  x  13

[13]
F_ba  173 = PRIME
173
F_pt  15051 =
3  x  29

[12]
F_ba  132 =
2  x  2  x  3  x  11
F_pt  8778 =
7  x  19

[11]
F_ba  109 = PRIME
109
F_pt  5995 =
5  x  11

[10]
F_ba  77 = PALINDROMIC
7  x  11
F_pt  3003 =
3  x  13

[9]
F_ba  36 =
2  x  2  x  3  x  3
F_pt  666 =
37

[8]
F_ba  34 =
2  x  17
F_pt  595 =
5  x  7

[7]
F_ba  18 =
2  x  3  x  3
F_pt  171 =
19

[6]
F_ba  11 = PALINDROMIC PRIME
11
F_pt  66 =
2  x  3

[5]
F_ba  10 =
2  x  5
F_pt  55 =
11

[4]
F_ba  3 = PALINDROMIC PRIME
3
F_pt  6 =
2

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

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

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

```