# 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