02 Crowley Aleister - Sepher Sephiroth Part 2

[ ]	enclosing a number	=	a perfect square.
√	before a number	=	a perfect square.
∛	before a number	=	a perfect cube
∜	before a number	=	a squared square.
	above a number	=	a perfect number.
	after a number	=	a factorial.
π	before a number before a number	= =	a sub-factorial. a prime number
∑ (n)	before a number	=	a reciprocal (or ‘amicable’) number.

TABLE OF FACTORS

ODD NUMBERS FROM 1 TO 3321 (5’S EXCLUDED); SHOWING LOWEST FACTORS, AND PRIMES (P.). “—” INDICATES THAT THE NUMBER IS DIVISIBLE BY 3.

[1]	P.	83	P.	171	–	259	7	347	P.
2	P.	87	–	173	P.	261	–	349	P.
3	P.	89	P.	177	–	263	P.	351	–
5	P.	91	7	179	P.	267	–	353	P.
7	P.	93	–	181	P.	269	P.	357	–
[9]	3²	97	P.	183	–	271	P.	359	P.
11	P.	99	–	187	11	273	–	[361]	19²
13	P.	101	P.	189	–	277	P.	363	–
17	P.	103	P.	191	P.	279	–	367	P.
19	P.	107	P.	193	P.	281	P.	369	–
21	–	109	P.	197	P.	283	P.	371	7
23	P.	111	–	199	P.	287	7	373	P.
27	3³	113	P.	201	–	[289]	17²	377	13
29	P.	117	–	203	7	291	–	379	P.
31	P.	119	7	207	–	293	P.	381	–
33	–	[121]	11²	209	11	297	–	383	P.
37	P.	123	–	211	P.	299	13	387	–
39	–	127	P.	213	–	301	7	389	P.
41	P.	129	–	217	7	303	–	391	17
43	P.	131	P.	219	–	307	P.	393	–
47	P.	133	7	221	13	309	–	397	P.
[49]	7²	137	P.	223	P.	311	P.	399	–
51	–	139	P.	227	P.	313	P.	401	P.
53	P.	141	–	229	P.	317	P.	403	13
57	–	143	11	231	–	319	11	407	11
59	P.	147	–	233	P.	321	–	409	P.
61	P.	149	P.	237	–	323	17	411	–
63	–	151	P.	239	P.	327	–	413	7
67	P.	153	–	241	P.	329	7	417	–
69	–	157	P.	243	3⁵	331	P.	419	P.
71	P.	159	–	247	13	333	–	421	P.
73	P.	161	7	249	–	337	P.	423	–
77	7	163	P.	251	P.	339	–	427	7
79	P.	167	P.	253	11	341	11	429	–
[81]	3⁴ = 9²	[169]	13²	257	P.	343	7	431	P.




433	P.	[529]	23²	623	7	719	P.	813	–
437	19	531	–	627	–	721	7	817	19
439	P.	533	13	629	17	723	–	819	–
[441]	– 21²	537	–	631	P.	727	P.	821	P.
443	P.	539	7	633	–	[729]	3⁶ = 9³ = 27²	823	P.
447	–	541	P.	637	7	731	17	827	P.
449	P.	543	–	639	–	733	P.	829	P.
451	11	547	P.	641	P.	737	11	831	–
453	–	549	–	643	P.	739	P.	833	7
457	P.	551	19	647	P.	741	–	837	–
459	–	553	7	649	11	743	P.	839	P.
461	P.	557	–	651	–	747	–	[841]	29²
463	P.	559	13	653	P.	749	7	843	–
467	P.	561	–	657	–	751	P.	847	7
469	7	563	P.	659	P.	753	–	849	–
471	–	567	–	661	P.	757	P.	851	23
473	11	569	P.	663	–	759	–	853	P.
477	–	571	P.	667	23	761	P.	857	P.
479	P.	573	–	669	–	763	7	859	P.
481	13	577	P.	671	11	767	13	861	–
483	–	579	–	673	P.	769	P.	863	P.
487	P.	581	7	677	P.	771	–	867	–
489	–	583	11	679	7	773	P.	869	11
491	P.	587	P.	681	–	777	–	871	13
493	17	589	17	683	P.	779	19	873	–
497	7	591	–	687	–	781	11	877	P.
499	P.	593	P.	689	13	783	–	879	–
501	–	597	–	691	P.	787	P.	881	P.
503	P.	599	P.	693	–	789	–	883	P.
507	–	601	P.	697	17	791	7	887	P.
509	P.	603	–	699	–	793	13	889	7
511	7	607	P.	701	P.	797	P.	891	–
513	–	609	–	703	19	799	17	893	19
517	11	611	13	707	7	801	–	897	–
519	–	613	P.	709	P.	803	11	899	29
521	P.	617	P.	711	–	807	–	901	17
523	P.	619	P.	713	23	809	9	903	–
527	17	621	–	717	–	811	P.	907	P.




909	–	1003	17	1099	7	1193	P.	1289	P.
911	P.	1007	19	1101	–	1197	–	1291	P.
913	11	1009	P.	1103	P.	1199	11	1293	–
917	7	1011	–	1107	–	1201	P.	1297	P.
919	P.	1013	P.	1109	P.	1203	–	1299	–
921	–	1017	–	1111	11	1207	17	1301	P.
923	13	1019	P.	1113	–	1209	–	1303	P.
927	–	1021	P.	1117	P.	1211	7	1307	P.
929	P.	1023	–	1119	–	1213	P.	1309	7
931	7	1027	13	1121	19	1217	P.	1311	–
933	–	1029	–	1123	P.	1219	23	1313	13
937	P.	1031	P.	1127	7	1221	–	1317	–
939	–	1033	P.	1129	P.	1223	P.	1319	P.
941	P.	1037	17	1131	–	1227	–	1321	P.
943	23	1039	P.	1133	11	1229	P.	1323	–
947	P.	1041	–	1137	–	1231	P.	1327	P.
949	13	1043	7	1139	17	1233	–	1329	–
951	–	1047	–	1141	7	1237	P.	1331	11
953	P.	1049	P.	1143	–	1239	–	1333	31
957	–	1051	P.	1147	31	1241	17	1337	7
959	7	1053	–	1149	–	1243	11	1339	13
[961]	31²	1057	7	1151	P.	1247	29	1341	–
963	–	1059	–	1153	P.	1249	P.	1343	17
967	P.	1061	P.	1157	13	1251	–	1347	–
969	–	1063	P.	1159	19	1253	7	1349	19
971	P.	1067	11	1161	–	1257	–	1351	7
973	7	1069	P.	1163	P.	1259	P.	1353	–
977	P.	1071	–	1167	–	1261	13	1357	23
979	11	1073	29	1169	7	1263	–	1359	–
981	–	1077	–	1171	P.	1267	7	1361	P.
983	P.	1079	13	1173	–	1269	–	1363	29
987	–	1081	23	1177	11	1271	31	1367	P.
989	23	1083	–	1179	–	1273	19	[1369]	37²
991	P.	1087	P.	1181	P.	1277	P.	1371	–
993	–	[1089]	33²	1183	7	1279	P.	1373	P.
997	P.	1091	P.	1187	P.	1281	–	1377	–
999	–	1093	P.	1189	29	1283	P.	1379	7
1001	7	1097	P.	1191	–	1287	–	1381	P.




1383	–	1479	–	1573	11	1669	P.	1763	41
1387	19	1481	P.	1577	19	1671	–	1767	–
1389	–	1483	P.	1579	P.	1673	7	1769	29
1391	13	1487	P.	1581	–	1677	–	1771	7
1393	7	1489	P.	1583	P.	1679	23	1773	–
1397	11	1491	–	1587	–	[1681]	– 41²	1777	P.
1399	P.	1493	P.	1589	7	1683	–	1779	–
1401	–	1497	–	1591	37	1687	7	1781	13
1403	23	1499	P.	1593	–	1689	–	1783	P.
1407	–	1501	19	1597	P.	1691	19	1787	P.
1409	P.	1503	–	1599	–	1693	P.	1789	P.
1411	17	1507	11	1601	P.	1697	P.	1791	–
1413	–	1509	–	1603	7	1699	P.	1793	11
1417	13	1511	P.	1607	P.	1701	–	1797	–
1419	–	1513	17	1609	P.	1703	13	1799	7
1421	7	1517	37	1611	–	1707	–	1801	P.
1423	P.	1519	7	1613	P.	1709	P.	1803	–
1427	P.	[1521]	– 39²	1617	–	1711	29	1807	13
1429	P.	1523	P.	1619	P.	1713	–	1809	–
1431	–	1527	–	1621	P.	1717	17	1811	P.
1433	P.	1529	11	1623	–	1719	–	1813	7
1437	–	1531	P.	1627	P.	1721	P.	1817	23
1439	P.	1533	–	1629	–	1723	P.	1819	17
1441	11	1537	29	1631	7	1727	11	1821	–
1443	–	1539	–	1633	23	1729	7	1823	P.
1447	P.	1541	23	1637	P.	1731	–	1827	–
1449	–	1543	P.	1639	11	1733	P.	1829	31
1451	P.	1547	7	1641	–	1737	–	1831	P.
1453	P.	1549	P.	1643	31	1739	37	1833	–
1457	31	1551	–	1647	–	1741	P.	1837	11
1459	P.	1553	P.	1649	17	1743	–	1839	–
1461	–	1557	–	1651	13	1747	P.	1841	7
1463	7	1559	P.	1653	–	1749	–	1843	19
1467	–	1561	7	1657	P.	1751	17	1847	P.
1469	13	1563	–	1659	–	1753	P.	[1849]	43²
1471	P.	1567	P.	1661	11	1757	7	1851	–
1473	–	1569	–	1663	P.	1759	P.	1853	17
1477	7	1571	P.	1667	P.	1761	–	1857	–




1859	11	1953	–	2049	–	2143	P.	2239	P.
1861	P.	1957	19	2051	7	2147	19	2241	–
1863	–	1959	–	2053	P.	2149	7	2243	P.
1867	P.	1961	37	2057	11	2151	–	2247	–
1869	–	1963	13	2059	29	2153	P.	2249	13
1871	P.	1967	7	2061	–	2157	–	2251	P.
1873	P.	1969	11	2063	P.	2159	17	2253	–
1877	P.	1971	–	2067	–	2161	P.	2257	37
1879	P.	1973	P.	2069	P.	2163	–	2259	–
1881	–	1977	–	2071	19	2167	11	2261	7
1883	7	1979	P.	2073	–	2169	–	2263	31
1887	–	1981	7	2077	31	2171	13	2267	P.
1889	P.	1983	–	2079	–	2173	41	2269	P.
1891	31	1987	P.	2081	P.	2177	7	2271	–
1893	–	1989	–	2083	P.	2179	P.	2273	P.
1897	7	1991	11	2087	P.	2181	–	2277	–
1899	–	1993	P.	2089	P.	2183	37	2279	43
1901	P.	1997	P.	2091	–	2187	3⁷	2281	P.
1903	11	1999	P.	2093	7	2189	11	2283	–
1907	P.	2001	–	2097	–	9191	7	2287	P.
1909	23	2003	P.	2099	P.	2193	–	2289	–
1911	–	2007	–	2101	11	2197	13	2291	29
1913	P.	2009	7	2103	–	2199	–	2293	P.
1917	–	2011	P.	2107	7	2201	31	2297	P.
1919	19	2013	–	2109	–	2203	P.	2299	11
1921	17	2017	P.	2111	P.	2207	P.	2301	–
1923	–	2019	–	2113	P.	[2209]	47²	2303	7
1927	41	2021	43	2117	29	2211	–	2307	–
1929	–	2023	7	2119	13	2213	P.	2309	P.
1931	P.	2027	P.	2121	–	2217	–	2311	P.
1933	P.	2029	P.	2123	11	2219	7	2313	–
1937	13	2031	–	2127	–	2221	P.	2317	7
1939	7	2033	19	2129	P.	2223	–	2319	–
1941	–	2037	–	2131	P.	2227	17	2321	11
1943	29	2039	P.	2133	–	2229	–	2323	23
1947	–	2041	13	2137	P.	2231	23	2327	13
1949	P.	2043	–	2139	–	2233	11	2329	17
1951	P.	2047	23	2141	P.	2237	P.	2331	–




2333	P.	2429	7	2523	–	2619	–	2713	P.
2337	–	2431	11	2527	7	2621	P.	2717	11
2339	P.	2433	–	2529	–	2623	43	2719	P.
2341	P.	2437	P.	2531	P.	2627	37	2721	–
2343	–	2439	–	2533	17	2629	11	2723	7
2347	P.	2441	P.	2537	43	2631	–	2727	–
2349	–	2443	7	2539	P.	2633	P.	2729	P.
2351	P.	2447	P.	2541	–	2637	–	2731	P.
2353	13	2449	31	2543	P.	2639	7	2733	–
2357	P.	2451	–	2547	–	2641	19	2737	7
2359	7	2453	11	2549	P.	2643	–	2739	–
2361	–	2457	–	2551	P.	2647	P.	2741	P.
2363	17	2459	P.	2553	–	2649	–	2743	13
2367	–	2461	23	2557	P.	2651	11	2747	41
2369	23	2463	–	2559	–	2653	7	2749	P.
2371	P.	2467	P.	2561	13	2657	P.	2751	–
2373	–	2469	–	2563	11	2659	P.	2753	P.
2377	P.	2471	7	2567	17	2661	–	2757	–
2379	–	2473	P.	2569	7	2663	P.	2759	31
2381	P.	2477	P.	2571	–	2667	–	2761	11
2383	P.	2479	37	2573	31	2669	17	2763	–
2387	7	2481	–	2577	–	2671	P.	2767	P.
2389	P.	2483	13	2579	P.	2673	–	2769	–
2391	–	2487	–	2581	29	2677	P.	2771	17
2393	P.	2489	19	2583	–	2679	–	2773	47
2397	–	2491	47	2587	13	2681	7	2777	P.
2399	P.	2493	–	2589	–	2683	P.	2779	7
[2401]	7⁴ = 49²	2497	11	2591	P.	2687	P.	2781	–
2403	–	2499	–	2593	P.	2689	P.	2783	11
2407	29	2501	41	2597	7	2691	–	2787	–
2409	–	2503	P.	2599	23	2693	P.	2789	P.
2411	P.	2507	23	[2601]	– 51²	2697	–	2791	P.
2413	19	2509	13	2603	19	2699	P.	2793	–
2417	P.	2511	–	2607	–	2701	37	2797	P.
2419	41	2513	7	2609	P.	2703	–	2799	–
2421	–	2517	–	2611	7	2707	P.	2801	P.
2423	P.	2519	11	2613	–	2709	–	2803	P.
2427	–	2521	P.	2617	P.	2711	P.	2807	7




[2809]	– 53²	2903	P.	2999	P.	3093	–	3189	–
2811	–	2907	–	3001	P.	3097	19	3191	P.
2813	29	2909	P.	3003	–	3099	–	3193	31
2817	–	2911	41	3007	31	3101	7	3197	23
2819	P.	2913	–	3009	–	3103	29	3199	7
2821	7	2917	P.	3011	P.	3107	13	3201	–
2823	–	2919	–	3013	23	3109	P.	3203	P.
2827	11	2921	23	3017	7	3111	–	3207	–
2829	–	2923	37	3019	P.	3113	11	3209	P.
2831	19	2927	P.	3021	–	3117	–	3211	13
2833	P.	2929	29	3023	P.	3119	P.	3213	–
2837	P.	2931	–	3027	–	3121	P.	3217	P.
2839	17	2933	7	3029	13	3123	–	3219	–
2841	–	2937	–	3031	7	3127	53	3221	P.
2843	P.	2939	P.	3033	–	3129	–	3223	11
2847	–	2941	17	3037	P.	3131	31	3227	7
2849	7	2943	–	3039	–	3133	13	3229	P.
2851	P.	2947	7	3041	P.	3137	P.	3231	–
2853	–	2949	–	3043	17	3139	43	3233	53
2857	P.	2951	13	3047	11	3141	–	3237	–
2859	–	2953	P.	3049	P.	3143	7	3239	41
2861	P.	2957	P.	3051	–	3147	–	3241	7
2863	7	2959	11	3053	43	3149	47	3243	–
2867	47	2961	–	3057	–	3151	23	3247	17
2869	19	2963	P.	3059	7	3153	–	[3249]	– 57²
2871	–	2967	–	3061	P.	3157	7	3251	P.
2873	13	2969	P.	3063	–	3159	–	3253	P.
2877	–	2971	P.	3067	P.	3161	29	3257	P.
2879	P.	2973	–	3069	–	3163	P.	3259	P.
2881	43	2977	13	3071	37	3167	P.	3261	–
2883	–	2979	–	3073	7	3169	P.	3263	13
2887	P.	2981	11	3077	17	3171	–	3267	–
2889	–	2983	19	3079	P.	3173	19	3269	7
2891	7	2987	29	3081	–	3177	–	3271	P.
2893	11	2989	7	3083	P.	3179	11	3273	–
2897	P.	2991	–	3087	–	3181	P.	3277	29
2899	13	2993	41	3089	P.	3183	–	3279	–
2901	–	2997	–	3091	11	3187	P.	3281	17



3283	7	3293	37	3301	P.	3309	–	3317	31
3287	19	3297	–	3303	–	3311	7	3319	P.
3289	11	3299	P.	3307	P.	3313	P.	3321	P.
3291	–

“The first dozen factorials, and sub-factorials; and the ratios they bear to one another; note that:

N	N	N
1	1	0		0,000000
2	2	1	2,000000	0,500000
3	6	2	3,000000	0,333333
4	24	9	2,666666	0,375000
5	120	44	2,727272	0,366666
6	720	265	2,716981	0,368055
7	5040	1854	2,718446	0,367857
8	40320	14833	2,718262	0,367881
9	362880	133496	2,718283	0,367879
10	3628800	1334961	2,718281	0,367879
11	39916800	14684570	2,718281	0,367879
12	479001600	176214841	2,718281	0,367879