Possible shapes of figures for the factorial function up to 5000!

argument number of digits of faculty possible shape lateral length in digits
74 Triangle 2
74 Square 2
85 Diamond 2
118 Hexagon 2
129 Triangle 3
129 Square 3
1513 Diamond 3
1816 Triangle 4
1816 Square 4
2323 Hexagon 3
3236 Triangle 6
3236 Square 6
3337 Octagon 3
3541 Diamond 5
5777 Hexagon 5
5981 Triangle 9
5981 Square 9
78116 Hexagon 6
81121 Triangle 11
81121 Square 11
85129 Octagon 5
93145 Diamond 9
105169 Triangle 13
105169 Square 13
111181 Diamond 10
129218 Hexagon 8
132225 Triangle 15
132225 Square 15
151265 Diamond 12
158281 Hexagon 9
190352 Hexagon 10
224431 Hexagon 11
228441 Triangle 21
228441 Square 21
245481 Octagon 9
245481 Diamond 16
265529 Triangle 23
265529 Square 23
284576 Triangle 24
284576 Square 24
299613 Hexagon 13
299613 Diamond 18
304625 Triangle 25
304625 Square 25
328685 Diamond 19
350741 Octagon 11
358761 Diamond 20
367784 Triangle 28
367784 Square 28
389841 Diamond 21
389841 Triangle 29
389841 Square 29
435961 Triangle 31
435961 Square 31
4711057 Octagon 13
4771073 Hexagon 17
4831089 Triangle 33
4831089 Square 33
4891105 Diamond 24
5081156 Triangle 34
5081156 Square 34
5271208 Hexagon 18
5611301 Diamond 26
6771625 Diamond 29
6811636 Octagon 16
6901661 Hexagon 21
6971681 Triangle 41
6971681 Square 41
7181741 Diamond 30
7261764 Triangle 42
7261764 Square 42
9242341 Octagon 19
9362377 Hexagon 25
9442401 Triangle 49
9442401 Square 49
10112601 Triangle 51
10112601 Square 51
10122604 Octagon 20
10452704 Triangle 52
10452704 Square 52
10802809 Triangle 53
10802809 Square 53
10812813 Diamond 38
11152916 Triangle 54
11152916 Square 54
11312965 Diamond 39
11422998 Hexagon 28
11823121 Diamond 40
11873136 Triangle 56
11873136 Square 56
12343281 Diamond 41
12893452 Hexagon 30
12973477 Octagon 23
13993796 Octagon 24
14443938 Hexagon 32
14543969 Triangle 63
14543969 Square 63
14944096 Triangle 64
14944096 Square 64
15084141 Diamond 46
15664325 Diamond 47
16134476 Octagon 26
16174489 Triangle 67
16174489 Square 67
16594624 Triangle 68
16594624 Square 68
16914727 Hexagon 35
17254837 Octagon 27
17885041 Triangle 71
17885041 Square 71
18695305 Diamond 52
19215476 Triangle 74
19215476 Square 74
19555588 Hexagon 38
19595601 Octagon 29
20125776 Triangle 76
20125776 Square 76
20475891 Hexagon 39
20625941 Diamond 55
20816004 Octagon 30
21056084 Triangle 78
21056084 Square 78
22006400 Triangle 80
22006400 Square 80
22066421 Octagon 31
22366521 Hexagon 41
22486561 Triangle 81
22486561 Square 81
23957056 Triangle 84
23957056 Square 84
24457225 Triangle 85
24457225 Square 85
25457565 Diamond 62
26017756 Octagon 34
27398229 Octagon 35
27418236 Hexagon 46
28618649 Triangle 93
28618649 Square 93
29158836 Triangle 94
29158836 Square 94
29568978 Hexagon 48
30669361 Hexagon 49
30739385 Diamond 69
31529661 Diamond 70
31789752 Hexagon 50
31929801 Triangle 99
31929801 Square 99
340710558 Hexagon 52
347710805 Diamond 74
348010816 Triangle 104
348010816 Square 104
353911025 Triangle 105
353911025 Square 105
373011705 Diamond 77
376411827 Hexagon 55
381612013 Diamond 78
390212321 Triangle 111
390212321 Square 111
390312325 Diamond 79
396412544 Triangle 112
396412544 Square 112
399112641 Diamond 80
401112713 Hexagon 57
413713168 Hexagon 58
435113945 Diamond 84
446414356 Octagon 46
447614400 Triangle 120
447614400 Square 120
454214641 Triangle 121
454214641 Square 121
463914997 Octagon 47
467515129 Triangle 123
467515129 Square 123
481015625 Triangle 125
481015625 Square 125
482115665 Diamond 89

On these pages you can see for each shape the smallest possible figure, the largest (up to 5000!) and some intermediate sized figures :

Triangles   Diamonds   Hexagons   Octagons

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Kai Schröder, 29.11.2000