List of 7-limit factorizations

This list includes prime factorizations and monzos of all numbers from 1 to 99999 which are divisible by 7, and not divisible by any larger prime number.

integer	factorization	monzo
7	7	[0 0 0 1⟩
14	2⋅7	[1 0 0 1⟩
21	3⋅7	[0 1 0 1⟩
28	2⋅2⋅7	[2 0 0 1⟩
35	5⋅7	[0 0 1 1⟩
42	2⋅3⋅7	[1 1 0 1⟩
49	7⋅7	[0 0 0 2⟩
56	2⋅2⋅2⋅7	[3 0 0 1⟩
63	3⋅3⋅7	[0 2 0 1⟩
70	2⋅5⋅7	[1 0 1 1⟩
84	2⋅2⋅3⋅7	[2 1 0 1⟩
98	2⋅7⋅7	[1 0 0 2⟩
105	3⋅5⋅7	[0 1 1 1⟩
112	2⋅2⋅2⋅2⋅7	[4 0 0 1⟩
126	2⋅3⋅3⋅7	[1 2 0 1⟩
140	2⋅2⋅5⋅7	[2 0 1 1⟩
147	3⋅7⋅7	[0 1 0 2⟩
168	2⋅2⋅2⋅3⋅7	[3 1 0 1⟩
175	5⋅5⋅7	[0 0 2 1⟩
189	3⋅3⋅3⋅7	[0 3 0 1⟩
196	2⋅2⋅7⋅7	[2 0 0 2⟩
210	2⋅3⋅5⋅7	[1 1 1 1⟩
224	2⋅2⋅2⋅2⋅2⋅7	[5 0 0 1⟩
245	5⋅7⋅7	[0 0 1 2⟩
252	2⋅2⋅3⋅3⋅7	[2 2 0 1⟩
280	2⋅2⋅2⋅5⋅7	[3 0 1 1⟩
294	2⋅3⋅7⋅7	[1 1 0 2⟩
315	3⋅3⋅5⋅7	[0 2 1 1⟩
336	2⋅2⋅2⋅2⋅3⋅7	[4 1 0 1⟩
343	7⋅7⋅7	[0 0 0 3⟩
350	2⋅5⋅5⋅7	[1 0 2 1⟩
378	2⋅3⋅3⋅3⋅7	[1 3 0 1⟩
392	2⋅2⋅2⋅7⋅7	[3 0 0 2⟩
420	2⋅2⋅3⋅5⋅7	[2 1 1 1⟩
441	3⋅3⋅7⋅7	[0 2 0 2⟩
448	2⋅2⋅2⋅2⋅2⋅2⋅7	[6 0 0 1⟩
490	2⋅5⋅7⋅7	[1 0 1 2⟩
504	2⋅2⋅2⋅3⋅3⋅7	[3 2 0 1⟩
525	3⋅5⋅5⋅7	[0 1 2 1⟩
560	2⋅2⋅2⋅2⋅5⋅7	[4 0 1 1⟩
567	3⋅3⋅3⋅3⋅7	[0 4 0 1⟩
588	2⋅2⋅3⋅7⋅7	[2 1 0 2⟩
630	2⋅3⋅3⋅5⋅7	[1 2 1 1⟩
672	2⋅2⋅2⋅2⋅2⋅3⋅7	[5 1 0 1⟩
686	2⋅7⋅7⋅7	[1 0 0 3⟩
700	2⋅2⋅5⋅5⋅7	[2 0 2 1⟩
735	3⋅5⋅7⋅7	[0 1 1 2⟩
756	2⋅2⋅3⋅3⋅3⋅7	[2 3 0 1⟩
784	2⋅2⋅2⋅2⋅7⋅7	[4 0 0 2⟩
840	2⋅2⋅2⋅3⋅5⋅7	[3 1 1 1⟩
875	5⋅5⋅5⋅7	[0 0 3 1⟩
882	2⋅3⋅3⋅7⋅7	[1 2 0 2⟩
896	2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[7 0 0 1⟩
945	3⋅3⋅3⋅5⋅7	[0 3 1 1⟩
980	2⋅2⋅5⋅7⋅7	[2 0 1 2⟩
1008	2⋅2⋅2⋅2⋅3⋅3⋅7	[4 2 0 1⟩
1029	3⋅7⋅7⋅7	[0 1 0 3⟩
1050	2⋅3⋅5⋅5⋅7	[1 1 2 1⟩
1120	2⋅2⋅2⋅2⋅2⋅5⋅7	[5 0 1 1⟩
1134	2⋅3⋅3⋅3⋅3⋅7	[1 4 0 1⟩
1176	2⋅2⋅2⋅3⋅7⋅7	[3 1 0 2⟩
1225	5⋅5⋅7⋅7	[0 0 2 2⟩
1260	2⋅2⋅3⋅3⋅5⋅7	[2 2 1 1⟩
1323	3⋅3⋅3⋅7⋅7	[0 3 0 2⟩
1344	2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[6 1 0 1⟩
1372	2⋅2⋅7⋅7⋅7	[2 0 0 3⟩
1400	2⋅2⋅2⋅5⋅5⋅7	[3 0 2 1⟩
1470	2⋅3⋅5⋅7⋅7	[1 1 1 2⟩
1512	2⋅2⋅2⋅3⋅3⋅3⋅7	[3 3 0 1⟩
1568	2⋅2⋅2⋅2⋅2⋅7⋅7	[5 0 0 2⟩
1575	3⋅3⋅5⋅5⋅7	[0 2 2 1⟩
1680	2⋅2⋅2⋅2⋅3⋅5⋅7	[4 1 1 1⟩
1701	3⋅3⋅3⋅3⋅3⋅7	[0 5 0 1⟩
1715	5⋅7⋅7⋅7	[0 0 1 3⟩
1750	2⋅5⋅5⋅5⋅7	[1 0 3 1⟩
1764	2⋅2⋅3⋅3⋅7⋅7	[2 2 0 2⟩
1792	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[8 0 0 1⟩
1890	2⋅3⋅3⋅3⋅5⋅7	[1 3 1 1⟩
1960	2⋅2⋅2⋅5⋅7⋅7	[3 0 1 2⟩
2016	2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[5 2 0 1⟩
2058	2⋅3⋅7⋅7⋅7	[1 1 0 3⟩
2100	2⋅2⋅3⋅5⋅5⋅7	[2 1 2 1⟩
2205	3⋅3⋅5⋅7⋅7	[0 2 1 2⟩
2240	2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[6 0 1 1⟩
2268	2⋅2⋅3⋅3⋅3⋅3⋅7	[2 4 0 1⟩
2352	2⋅2⋅2⋅2⋅3⋅7⋅7	[4 1 0 2⟩
2401	7⋅7⋅7⋅7	[0 0 0 4⟩
2450	2⋅5⋅5⋅7⋅7	[1 0 2 2⟩
2520	2⋅2⋅2⋅3⋅3⋅5⋅7	[3 2 1 1⟩
2625	3⋅5⋅5⋅5⋅7	[0 1 3 1⟩
2646	2⋅3⋅3⋅3⋅7⋅7	[1 3 0 2⟩
2688	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[7 1 0 1⟩
2744	2⋅2⋅2⋅7⋅7⋅7	[3 0 0 3⟩
2800	2⋅2⋅2⋅2⋅5⋅5⋅7	[4 0 2 1⟩
2835	3⋅3⋅3⋅3⋅5⋅7	[0 4 1 1⟩
2940	2⋅2⋅3⋅5⋅7⋅7	[2 1 1 2⟩
3024	2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[4 3 0 1⟩
3087	3⋅3⋅7⋅7⋅7	[0 2 0 3⟩
3136	2⋅2⋅2⋅2⋅2⋅2⋅7⋅7	[6 0 0 2⟩
3150	2⋅3⋅3⋅5⋅5⋅7	[1 2 2 1⟩
3360	2⋅2⋅2⋅2⋅2⋅3⋅5⋅7	[5 1 1 1⟩
3402	2⋅3⋅3⋅3⋅3⋅3⋅7	[1 5 0 1⟩
3430	2⋅5⋅7⋅7⋅7	[1 0 1 3⟩
3500	2⋅2⋅5⋅5⋅5⋅7	[2 0 3 1⟩
3528	2⋅2⋅2⋅3⋅3⋅7⋅7	[3 2 0 2⟩
3584	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[9 0 0 1⟩
3675	3⋅5⋅5⋅7⋅7	[0 1 2 2⟩
3780	2⋅2⋅3⋅3⋅3⋅5⋅7	[2 3 1 1⟩
3920	2⋅2⋅2⋅2⋅5⋅7⋅7	[4 0 1 2⟩
3969	3⋅3⋅3⋅3⋅7⋅7	[0 4 0 2⟩
4032	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[6 2 0 1⟩
4116	2⋅2⋅3⋅7⋅7⋅7	[2 1 0 3⟩
4200	2⋅2⋅2⋅3⋅5⋅5⋅7	[3 1 2 1⟩
4375	5⋅5⋅5⋅5⋅7	[0 0 4 1⟩
4410	2⋅3⋅3⋅5⋅7⋅7	[1 2 1 2⟩
4480	2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[7 0 1 1⟩
4536	2⋅2⋅2⋅3⋅3⋅3⋅3⋅7	[3 4 0 1⟩
4704	2⋅2⋅2⋅2⋅2⋅3⋅7⋅7	[5 1 0 2⟩
4725	3⋅3⋅3⋅5⋅5⋅7	[0 3 2 1⟩
4802	2⋅7⋅7⋅7⋅7	[1 0 0 4⟩
4900	2⋅2⋅5⋅5⋅7⋅7	[2 0 2 2⟩
5040	2⋅2⋅2⋅2⋅3⋅3⋅5⋅7	[4 2 1 1⟩
5103	3⋅3⋅3⋅3⋅3⋅3⋅7	[0 6 0 1⟩
5145	3⋅5⋅7⋅7⋅7	[0 1 1 3⟩
5250	2⋅3⋅5⋅5⋅5⋅7	[1 1 3 1⟩
5292	2⋅2⋅3⋅3⋅3⋅7⋅7	[2 3 0 2⟩
5376	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[8 1 0 1⟩
5488	2⋅2⋅2⋅2⋅7⋅7⋅7	[4 0 0 3⟩
5600	2⋅2⋅2⋅2⋅2⋅5⋅5⋅7	[5 0 2 1⟩
5670	2⋅3⋅3⋅3⋅3⋅5⋅7	[1 4 1 1⟩
5880	2⋅2⋅2⋅3⋅5⋅7⋅7	[3 1 1 2⟩
6048	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[5 3 0 1⟩
6125	5⋅5⋅5⋅7⋅7	[0 0 3 2⟩
6174	2⋅3⋅3⋅7⋅7⋅7	[1 2 0 3⟩
6272	2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7	[7 0 0 2⟩
6300	2⋅2⋅3⋅3⋅5⋅5⋅7	[2 2 2 1⟩
6615	3⋅3⋅3⋅5⋅7⋅7	[0 3 1 2⟩
6720	2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7	[6 1 1 1⟩
6804	2⋅2⋅3⋅3⋅3⋅3⋅3⋅7	[2 5 0 1⟩
6860	2⋅2⋅5⋅7⋅7⋅7	[2 0 1 3⟩
7000	2⋅2⋅2⋅5⋅5⋅5⋅7	[3 0 3 1⟩
7056	2⋅2⋅2⋅2⋅3⋅3⋅7⋅7	[4 2 0 2⟩
7168	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[10 0 0 1⟩
7203	3⋅7⋅7⋅7⋅7	[0 1 0 4⟩
7350	2⋅3⋅5⋅5⋅7⋅7	[1 1 2 2⟩
7560	2⋅2⋅2⋅3⋅3⋅3⋅5⋅7	[3 3 1 1⟩
7840	2⋅2⋅2⋅2⋅2⋅5⋅7⋅7	[5 0 1 2⟩
7875	3⋅3⋅5⋅5⋅5⋅7	[0 2 3 1⟩
7938	2⋅3⋅3⋅3⋅3⋅7⋅7	[1 4 0 2⟩
8064	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[7 2 0 1⟩
8232	2⋅2⋅2⋅3⋅7⋅7⋅7	[3 1 0 3⟩
8400	2⋅2⋅2⋅2⋅3⋅5⋅5⋅7	[4 1 2 1⟩
8505	3⋅3⋅3⋅3⋅3⋅5⋅7	[0 5 1 1⟩
8575	5⋅5⋅7⋅7⋅7	[0 0 2 3⟩
8750	2⋅5⋅5⋅5⋅5⋅7	[1 0 4 1⟩
8820	2⋅2⋅3⋅3⋅5⋅7⋅7	[2 2 1 2⟩
8960	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[8 0 1 1⟩
9072	2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅7	[4 4 0 1⟩
9261	3⋅3⋅3⋅7⋅7⋅7	[0 3 0 3⟩
9408	2⋅2⋅2⋅2⋅2⋅2⋅3⋅7⋅7	[6 1 0 2⟩
9450	2⋅3⋅3⋅3⋅5⋅5⋅7	[1 3 2 1⟩
9604	2⋅2⋅7⋅7⋅7⋅7	[2 0 0 4⟩
9800	2⋅2⋅2⋅5⋅5⋅7⋅7	[3 0 2 2⟩
10080	2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅7	[5 2 1 1⟩
10206	2⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[1 6 0 1⟩
10290	2⋅3⋅5⋅7⋅7⋅7	[1 1 1 3⟩
10500	2⋅2⋅3⋅5⋅5⋅5⋅7	[2 1 3 1⟩
10584	2⋅2⋅2⋅3⋅3⋅3⋅7⋅7	[3 3 0 2⟩
10752	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[9 1 0 1⟩
10976	2⋅2⋅2⋅2⋅2⋅7⋅7⋅7	[5 0 0 3⟩
11025	3⋅3⋅5⋅5⋅7⋅7	[0 2 2 2⟩
11200	2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅7	[6 0 2 1⟩
11340	2⋅2⋅3⋅3⋅3⋅3⋅5⋅7	[2 4 1 1⟩
11760	2⋅2⋅2⋅2⋅3⋅5⋅7⋅7	[4 1 1 2⟩
11907	3⋅3⋅3⋅3⋅3⋅7⋅7	[0 5 0 2⟩
12005	5⋅7⋅7⋅7⋅7	[0 0 1 4⟩
12096	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[6 3 0 1⟩
12250	2⋅5⋅5⋅5⋅7⋅7	[1 0 3 2⟩
12348	2⋅2⋅3⋅3⋅7⋅7⋅7	[2 2 0 3⟩
12544	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7	[8 0 0 2⟩
12600	2⋅2⋅2⋅3⋅3⋅5⋅5⋅7	[3 2 2 1⟩
13125	3⋅5⋅5⋅5⋅5⋅7	[0 1 4 1⟩
13230	2⋅3⋅3⋅3⋅5⋅7⋅7	[1 3 1 2⟩
13440	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7	[7 1 1 1⟩
13608	2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅7	[3 5 0 1⟩
13720	2⋅2⋅2⋅5⋅7⋅7⋅7	[3 0 1 3⟩
14000	2⋅2⋅2⋅2⋅5⋅5⋅5⋅7	[4 0 3 1⟩
14112	2⋅2⋅2⋅2⋅2⋅3⋅3⋅7⋅7	[5 2 0 2⟩
14175	3⋅3⋅3⋅3⋅5⋅5⋅7	[0 4 2 1⟩
14336	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[11 0 0 1⟩
14406	2⋅3⋅7⋅7⋅7⋅7	[1 1 0 4⟩
14700	2⋅2⋅3⋅5⋅5⋅7⋅7	[2 1 2 2⟩
15120	2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅7	[4 3 1 1⟩
15309	3⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[0 7 0 1⟩
15435	3⋅3⋅5⋅7⋅7⋅7	[0 2 1 3⟩
15680	2⋅2⋅2⋅2⋅2⋅2⋅5⋅7⋅7	[6 0 1 2⟩
15750	2⋅3⋅3⋅5⋅5⋅5⋅7	[1 2 3 1⟩
15876	2⋅2⋅3⋅3⋅3⋅3⋅7⋅7	[2 4 0 2⟩
16128	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[8 2 0 1⟩
16464	2⋅2⋅2⋅2⋅3⋅7⋅7⋅7	[4 1 0 3⟩
16800	2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅7	[5 1 2 1⟩
16807	7⋅7⋅7⋅7⋅7	[0 0 0 5⟩
17010	2⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[1 5 1 1⟩
17150	2⋅5⋅5⋅7⋅7⋅7	[1 0 2 3⟩
17500	2⋅2⋅5⋅5⋅5⋅5⋅7	[2 0 4 1⟩
17640	2⋅2⋅2⋅3⋅3⋅5⋅7⋅7	[3 2 1 2⟩
17920	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[9 0 1 1⟩
18144	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅7	[5 4 0 1⟩
18375	3⋅5⋅5⋅5⋅7⋅7	[0 1 3 2⟩
18522	2⋅3⋅3⋅3⋅7⋅7⋅7	[1 3 0 3⟩
18816	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7⋅7	[7 1 0 2⟩
18900	2⋅2⋅3⋅3⋅3⋅5⋅5⋅7	[2 3 2 1⟩
19208	2⋅2⋅2⋅7⋅7⋅7⋅7	[3 0 0 4⟩
19600	2⋅2⋅2⋅2⋅5⋅5⋅7⋅7	[4 0 2 2⟩
19845	3⋅3⋅3⋅3⋅5⋅7⋅7	[0 4 1 2⟩
20160	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅7	[6 2 1 1⟩
20412	2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[2 6 0 1⟩
20580	2⋅2⋅3⋅5⋅7⋅7⋅7	[2 1 1 3⟩
21000	2⋅2⋅2⋅3⋅5⋅5⋅5⋅7	[3 1 3 1⟩
21168	2⋅2⋅2⋅2⋅3⋅3⋅3⋅7⋅7	[4 3 0 2⟩
21504	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[10 1 0 1⟩
21609	3⋅3⋅7⋅7⋅7⋅7	[0 2 0 4⟩
21875	5⋅5⋅5⋅5⋅5⋅7	[0 0 5 1⟩
21952	2⋅2⋅2⋅2⋅2⋅2⋅7⋅7⋅7	[6 0 0 3⟩
22050	2⋅3⋅3⋅5⋅5⋅7⋅7	[1 2 2 2⟩
22400	2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅7	[7 0 2 1⟩
22680	2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅7	[3 4 1 1⟩
23520	2⋅2⋅2⋅2⋅2⋅3⋅5⋅7⋅7	[5 1 1 2⟩
23625	3⋅3⋅3⋅5⋅5⋅5⋅7	[0 3 3 1⟩
23814	2⋅3⋅3⋅3⋅3⋅3⋅7⋅7	[1 5 0 2⟩
24010	2⋅5⋅7⋅7⋅7⋅7	[1 0 1 4⟩
24192	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[7 3 0 1⟩
24500	2⋅2⋅5⋅5⋅5⋅7⋅7	[2 0 3 2⟩
24696	2⋅2⋅2⋅3⋅3⋅7⋅7⋅7	[3 2 0 3⟩
25088	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7	[9 0 0 2⟩
25200	2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅7	[4 2 2 1⟩
25515	3⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[0 6 1 1⟩
25725	3⋅5⋅5⋅7⋅7⋅7	[0 1 2 3⟩
26250	2⋅3⋅5⋅5⋅5⋅5⋅7	[1 1 4 1⟩
26460	2⋅2⋅3⋅3⋅3⋅5⋅7⋅7	[2 3 1 2⟩
26880	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7	[8 1 1 1⟩
27216	2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅7	[4 5 0 1⟩
27440	2⋅2⋅2⋅2⋅5⋅7⋅7⋅7	[4 0 1 3⟩
27783	3⋅3⋅3⋅3⋅7⋅7⋅7	[0 4 0 3⟩
28000	2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅7	[5 0 3 1⟩
28224	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7⋅7	[6 2 0 2⟩
28350	2⋅3⋅3⋅3⋅3⋅5⋅5⋅7	[1 4 2 1⟩
28672	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[12 0 0 1⟩
28812	2⋅2⋅3⋅7⋅7⋅7⋅7	[2 1 0 4⟩
29400	2⋅2⋅2⋅3⋅5⋅5⋅7⋅7	[3 1 2 2⟩
30240	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅7	[5 3 1 1⟩
30618	2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[1 7 0 1⟩
30625	5⋅5⋅5⋅5⋅7⋅7	[0 0 4 2⟩
30870	2⋅3⋅3⋅5⋅7⋅7⋅7	[1 2 1 3⟩
31360	2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7⋅7	[7 0 1 2⟩
31500	2⋅2⋅3⋅3⋅5⋅5⋅5⋅7	[2 2 3 1⟩
31752	2⋅2⋅2⋅3⋅3⋅3⋅3⋅7⋅7	[3 4 0 2⟩
32256	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[9 2 0 1⟩
32928	2⋅2⋅2⋅2⋅2⋅3⋅7⋅7⋅7	[5 1 0 3⟩
33075	3⋅3⋅3⋅5⋅5⋅7⋅7	[0 3 2 2⟩
33600	2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅7	[6 1 2 1⟩
33614	2⋅7⋅7⋅7⋅7⋅7	[1 0 0 5⟩
34020	2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[2 5 1 1⟩
34300	2⋅2⋅5⋅5⋅7⋅7⋅7	[2 0 2 3⟩
35000	2⋅2⋅2⋅5⋅5⋅5⋅5⋅7	[3 0 4 1⟩
35280	2⋅2⋅2⋅2⋅3⋅3⋅5⋅7⋅7	[4 2 1 2⟩
35721	3⋅3⋅3⋅3⋅3⋅3⋅7⋅7	[0 6 0 2⟩
35840	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[10 0 1 1⟩
36015	3⋅5⋅7⋅7⋅7⋅7	[0 1 1 4⟩
36288	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅7	[6 4 0 1⟩
36750	2⋅3⋅5⋅5⋅5⋅7⋅7	[1 1 3 2⟩
37044	2⋅2⋅3⋅3⋅3⋅7⋅7⋅7	[2 3 0 3⟩
37632	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7⋅7	[8 1 0 2⟩
37800	2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅7	[3 3 2 1⟩
38416	2⋅2⋅2⋅2⋅7⋅7⋅7⋅7	[4 0 0 4⟩
39200	2⋅2⋅2⋅2⋅2⋅5⋅5⋅7⋅7	[5 0 2 2⟩
39375	3⋅3⋅5⋅5⋅5⋅5⋅7	[0 2 4 1⟩
39690	2⋅3⋅3⋅3⋅3⋅5⋅7⋅7	[1 4 1 2⟩
40320	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅7	[7 2 1 1⟩
40824	2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[3 6 0 1⟩
41160	2⋅2⋅2⋅3⋅5⋅7⋅7⋅7	[3 1 1 3⟩
42000	2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅7	[4 1 3 1⟩
42336	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7⋅7	[5 3 0 2⟩
42525	3⋅3⋅3⋅3⋅3⋅5⋅5⋅7	[0 5 2 1⟩
42875	5⋅5⋅5⋅7⋅7⋅7	[0 0 3 3⟩
43008	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[11 1 0 1⟩
43218	2⋅3⋅3⋅7⋅7⋅7⋅7	[1 2 0 4⟩
43750	2⋅5⋅5⋅5⋅5⋅5⋅7	[1 0 5 1⟩
43904	2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7⋅7	[7 0 0 3⟩
44100	2⋅2⋅3⋅3⋅5⋅5⋅7⋅7	[2 2 2 2⟩
44800	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅7	[8 0 2 1⟩
45360	2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅7	[4 4 1 1⟩
45927	3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[0 8 0 1⟩
46305	3⋅3⋅3⋅5⋅7⋅7⋅7	[0 3 1 3⟩
47040	2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7⋅7	[6 1 1 2⟩
47250	2⋅3⋅3⋅3⋅5⋅5⋅5⋅7	[1 3 3 1⟩
47628	2⋅2⋅3⋅3⋅3⋅3⋅3⋅7⋅7	[2 5 0 2⟩
48020	2⋅2⋅5⋅7⋅7⋅7⋅7	[2 0 1 4⟩
48384	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[8 3 0 1⟩
49000	2⋅2⋅2⋅5⋅5⋅5⋅7⋅7	[3 0 3 2⟩
49392	2⋅2⋅2⋅2⋅3⋅3⋅7⋅7⋅7	[4 2 0 3⟩
50176	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7	[10 0 0 2⟩
50400	2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅7	[5 2 2 1⟩
50421	3⋅7⋅7⋅7⋅7⋅7	[0 1 0 5⟩
51030	2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[1 6 1 1⟩
51450	2⋅3⋅5⋅5⋅7⋅7⋅7	[1 1 2 3⟩
52500	2⋅2⋅3⋅5⋅5⋅5⋅5⋅7	[2 1 4 1⟩
52920	2⋅2⋅2⋅3⋅3⋅3⋅5⋅7⋅7	[3 3 1 2⟩
53760	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7	[9 1 1 1⟩
54432	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅7	[5 5 0 1⟩
54880	2⋅2⋅2⋅2⋅2⋅5⋅7⋅7⋅7	[5 0 1 3⟩
55125	3⋅3⋅5⋅5⋅5⋅7⋅7	[0 2 3 2⟩
55566	2⋅3⋅3⋅3⋅3⋅7⋅7⋅7	[1 4 0 3⟩
56000	2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅7	[6 0 3 1⟩
56448	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7⋅7	[7 2 0 2⟩
56700	2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅7	[2 4 2 1⟩
57344	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7	[13 0 0 1⟩
57624	2⋅2⋅2⋅3⋅7⋅7⋅7⋅7	[3 1 0 4⟩
58800	2⋅2⋅2⋅2⋅3⋅5⋅5⋅7⋅7	[4 1 2 2⟩
59535	3⋅3⋅3⋅3⋅3⋅5⋅7⋅7	[0 5 1 2⟩
60025	5⋅5⋅7⋅7⋅7⋅7	[0 0 2 4⟩
60480	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅7	[6 3 1 1⟩
61236	2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[2 7 0 1⟩
61250	2⋅5⋅5⋅5⋅5⋅7⋅7	[1 0 4 2⟩
61740	2⋅2⋅3⋅3⋅5⋅7⋅7⋅7	[2 2 1 3⟩
62720	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7⋅7	[8 0 1 2⟩
63000	2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅7	[3 2 3 1⟩
63504	2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅7⋅7	[4 4 0 2⟩
64512	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅7	[10 2 0 1⟩
64827	3⋅3⋅3⋅7⋅7⋅7⋅7	[0 3 0 4⟩
65625	3⋅5⋅5⋅5⋅5⋅5⋅7	[0 1 5 1⟩
65856	2⋅2⋅2⋅2⋅2⋅2⋅3⋅7⋅7⋅7	[6 1 0 3⟩
66150	2⋅3⋅3⋅3⋅5⋅5⋅7⋅7	[1 3 2 2⟩
67200	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅7	[7 1 2 1⟩
67228	2⋅2⋅7⋅7⋅7⋅7⋅7	[2 0 0 5⟩
68040	2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[3 5 1 1⟩
68600	2⋅2⋅2⋅5⋅5⋅7⋅7⋅7	[3 0 2 3⟩
70000	2⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅7	[4 0 4 1⟩
70560	2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅7⋅7	[5 2 1 2⟩
70875	3⋅3⋅3⋅3⋅5⋅5⋅5⋅7	[0 4 3 1⟩
71442	2⋅3⋅3⋅3⋅3⋅3⋅3⋅7⋅7	[1 6 0 2⟩
71680	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅7	[11 0 1 1⟩
72030	2⋅3⋅5⋅7⋅7⋅7⋅7	[1 1 1 4⟩
72576	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅7	[7 4 0 1⟩
73500	2⋅2⋅3⋅5⋅5⋅5⋅7⋅7	[2 1 3 2⟩
74088	2⋅2⋅2⋅3⋅3⋅3⋅7⋅7⋅7	[3 3 0 3⟩
75264	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7⋅7	[9 1 0 2⟩
75600	2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅7	[4 3 2 1⟩
76545	3⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅7	[0 7 1 1⟩
76832	2⋅2⋅2⋅2⋅2⋅7⋅7⋅7⋅7	[5 0 0 4⟩
77175	3⋅3⋅5⋅5⋅7⋅7⋅7	[0 2 2 3⟩
78400	2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅7⋅7	[6 0 2 2⟩
78750	2⋅3⋅3⋅5⋅5⋅5⋅5⋅7	[1 2 4 1⟩
79380	2⋅2⋅3⋅3⋅3⋅3⋅5⋅7⋅7	[2 4 1 2⟩
80640	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅7	[8 2 1 1⟩
81648	2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[4 6 0 1⟩
82320	2⋅2⋅2⋅2⋅3⋅5⋅7⋅7⋅7	[4 1 1 3⟩
83349	3⋅3⋅3⋅3⋅3⋅7⋅7⋅7	[0 5 0 3⟩
84000	2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅7	[5 1 3 1⟩
84035	5⋅7⋅7⋅7⋅7⋅7	[0 0 1 5⟩
84672	2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7⋅7	[6 3 0 2⟩
85050	2⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅7	[1 5 2 1⟩
85750	2⋅5⋅5⋅5⋅7⋅7⋅7	[1 0 3 3⟩
86016	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅7	[12 1 0 1⟩
86436	2⋅2⋅3⋅3⋅7⋅7⋅7⋅7	[2 2 0 4⟩
87500	2⋅2⋅5⋅5⋅5⋅5⋅5⋅7	[2 0 5 1⟩
87808	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅7⋅7⋅7	[8 0 0 3⟩
88200	2⋅2⋅2⋅3⋅3⋅5⋅5⋅7⋅7	[3 2 2 2⟩
89600	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅7	[9 0 2 1⟩
90720	2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅7	[5 4 1 1⟩
91854	2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅7	[1 8 0 1⟩
91875	3⋅5⋅5⋅5⋅5⋅7⋅7	[0 1 4 2⟩
92610	2⋅3⋅3⋅3⋅5⋅7⋅7⋅7	[1 3 1 3⟩
94080	2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅7⋅7	[7 1 1 2⟩
94500	2⋅2⋅3⋅3⋅3⋅5⋅5⋅5⋅7	[2 3 3 1⟩
95256	2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅7⋅7	[3 5 0 2⟩
96040	2⋅2⋅2⋅5⋅7⋅7⋅7⋅7	[3 0 1 4⟩
96768	2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅7	[9 3 0 1⟩
98000	2⋅2⋅2⋅2⋅5⋅5⋅5⋅7⋅7	[4 0 3 2⟩
98784	2⋅2⋅2⋅2⋅2⋅3⋅3⋅7⋅7⋅7	[5 2 0 3⟩
99225	3⋅3⋅3⋅3⋅5⋅5⋅7⋅7	[0 4 2 2⟩

Todo: clarify, improve synopsis Explain the musical uses for this table in the introduction.

Todo: link Link to this table from relevant pages, and add a see also at the end to give readers somewhere to go next.