I numeri altamente fattorizzabili fino a 109
La tabella seguente mostra i numeri altamente fattorizzabili fino a 109 e i corrispondenti numeri di partizioni moltiplicative pm(n) (E.R. Canfield, Paul Erdös e Carl Pomerance, 1981).
|
n |
pm(n) |
|
1 |
1 |
|
4 |
2 |
|
8 |
3 |
|
12 |
4 |
|
16 |
5 |
|
24 |
7 |
|
36 |
9 |
|
48 |
12 |
|
72 |
16 |
|
96 |
19 |
|
120 |
21 |
|
144 |
29 |
|
192 |
30 |
|
216 |
31 |
|
240 |
38 |
|
288 |
47 |
|
360 |
52 |
|
432 |
57 |
|
480 |
64 |
|
576 |
77 |
|
720 |
98 |
|
960 |
105 |
|
1080 |
109 |
|
1152 |
118 |
|
1440 |
171 |
|
2160 |
212 |
|
2880 |
289 |
|
4320 |
382 |
|
5040 |
392 |
|
5760 |
467 |
|
7200 |
484 |
|
8640 |
662 |
|
10080 |
719 |
|
11520 |
737 |
|
12960 |
783 |
|
14400 |
843 |
|
15120 |
907 |
|
17280 |
1097 |
|
20160 |
1261 |
|
25920 |
1386 |
|
28800 |
1397 |
|
30240 |
1713 |
|
34560 |
1768 |
|
40320 |
2116 |
|
50400 |
2179 |
|
51840 |
2343 |
|
60480 |
3079 |
|
80640 |
3444 |
|
90720 |
3681 |
|
100800 |
3930 |
|
120960 |
5288 |
|
151200 |
5413 |
|
161280 |
5447 |
|
172800 |
5653 |
|
181440 |
6756 |
|
201600 |
6767 |
|
241920 |
8785 |
|
392400 |
10001 |
|
362880 |
11830 |
|
453600 |
12042 |
|
483840 |
14166 |
|
604800 |
17617 |
|
725760 |
20003 |
|
907200 |
22711 |
|
1088640 |
24270 |
|
1209600 |
29945 |
|
1451520 |
32789 |
|
1814400 |
40774 |
|
2177280 |
41702 |
|
2419200 |
49320 |
|
2903040 |
52412 |
|
3326400 |
54613 |
|
3628800 |
70520 |
|
4838400 |
79177 |
|
5322240 |
79459 |
|
5443200 |
86222 |
|
6652800 |
99235 |
|
7257600 |
118041 |
|
9676800 |
124297 |
|
9979200 |
129296 |
|
10886400 |
151500 |
|
13305600 |
173377 |
|
14515200 |
192371 |
|
18144000 |
199668 |
|
19958400 |
239312 |
|
21772800 |
257381 |
|
25401600 |
259906 |
|
26611200 |
292951 |
|
29030400 |
306091 |
|
31933440 |
313907 |
|
36288000 |
340413 |
|
39916800 |
425240 |
|
43545600 |
425254 |
|
50803200 |
443995 |
|
53222400 |
481392 |
|
59875200 |
525030 |
|
72576000 |
564234 |
|
76204800 |
574761 |
|
79833600 |
729916 |
|
101606400 |
737393 |
|
106444800 |
771932 |
|
119750400 |
947375 |
|
152409600 |
996347 |
|
159667200 |
1217160 |
|
199584000 |
1262260 |
|
217728000 |
1279554 |
|
239500800 |
1649624 |
|
279417600 |
1653287 |
|
304819200 |
1677259 |
|
319334400 |
1978932 |
|
399168000 |
2205059 |
|
479001600 |
2787810 |
|
558835200 |
2894057 |
|
638668800 |
3148035 |
|
718502400 |
3470553 |
|
798336000 |
3737489 |
|
838252800 |
3786089 |
|
958003200 |
4590111 |