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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.

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