Definitions
| Symbol | Explanation |
|---|---|
| A | "A" or "GAR" for example is the code (see next table) of the one who has booked or calculated the aliquot sequence |
| A 7 P5 | Green : aliquot sequence arrived at a 5 digits prime number after 7 iterations, calculations made by Anonymous |
| GAR 29 C1 | Blue : aliquot sequence arrived on a cycle (here on a perfect number, but "C2" would have meant on an amicable number) after 29 iterations, calculations made by Garambois |
| GAR 2 U148 (142) | Orange with name code : Open-End reserved sequence calculated up to 10^120, 148 digits and 142 digits for the cofactor in this example, calculations made by Garambois, Blocked for reservation. |
| 134 U121 (116) | Orange without name code : Open-End sequence not reserved and calculated up to 10^120, 121 digits and 116 digits for the cofactor in this example, Free for reservation. |
| 134 U121 (116) | Yellow background of sequence: this sequence merges with given one as tooltip |
| 107 U84 (82) | Colorless cells without name code : aliquot sequence not yet calculated or reserved, Free for reservation. |
| GAR 2 U117 (110) | Colorless cells with name code : aliquot sequence not yet calculated but reserved, Blocked for reservation. |
| Note about n: Unnecessary to include for example n=8 or n=4 because they are powers of 2 already done. | |
Contributors
Navigation
| Type | Entries |
|---|---|
| Primes | 2, 3, 5, 7, 11, 13,
17, 19, 23, 29, 31, 37,
41, 43, 47
Others: 79, 439, 82589933, (10^10+19) |
| Primorials | 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810 |
| Doubles of squares | 2, 18, 50, 72, 98, 162, 200, 242, 288, 338, 392, 450, 578, 648, 722, 800, 882, |
| Perfect | 6, 28, 496, 8128, 33550336, 8589869056 |
| Cycles | 220, 284 |
| Others | 10, 12, 14, 15, 20, 21, 22, 24, 26, 33, 34, 35, 42, 385, 770, 1155 |
Links and statistics
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| Base & Link | Decomposition | All | Primes | Primes % | Cycles | Cycles % | Opens | Opens % | Merges | Merges % |
|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 2 | 559 | 556 | 99.46% | 3 | 0.54% | 0 | 0.00% | 0 | 0.00% |
| 3 | 3 | 335 | 176 | 52.54% | 1 | 0.30% | 158 | 47.16% | 8 | 2.39% |
| 5 | 5 | 250 | 114 | 45.60% | 2 | 0.80% | 134 | 53.60% | 6 | 2.40% |
| 6 | 2 * 3 | 206 | 99 | 48.06% | 2 | 0.97% | 105 | 50.97% | 3 | 1.46% |
| 7 | 7 | 189 | 97 | 51.32% | 2 | 1.06% | 90 | 47.62% | 4 | 2.12% |
| 10 | 2 * 5 | 160 | 80 | 50.00% | 1 | 0.62% | 79 | 49.38% | 6 | 3.75% |
| 11 | 11 | 153 | 83 | 54.25% | 1 | 0.65% | 69 | 45.10% | 3 | 1.96% |
| 12 | 2^2 * 3 | 148 | 71 | 47.97% | 1 | 0.68% | 76 | 51.35% | 6 | 4.05% |
| 13 | 13 | 145 | 81 | 55.86% | 0 | 0.00% | 64 | 44.14% | 3 | 2.07% |
| 14 | 2 * 7 | 140 | 76 | 54.29% | 0 | 0.00% | 64 | 45.71% | 3 | 2.14% |
| 15 | 3 * 5 | 140 | 66 | 47.14% | 1 | 0.71% | 73 | 52.14% | 7 | 5.00% |
| 17 | 17 | 140 | 67 | 47.86% | 0 | 0.00% | 73 | 52.14% | 2 | 1.43% |
| 18 | 2 * 3^2 | 140 | 129 | 92.14% | 0 | 0.00% | 11 | 7.86% | 0 | 0.00% |
| 19 | 19 | 140 | 66 | 47.14% | 0 | 0.00% | 74 | 52.86% | 1 | 0.71% |
| 20 | 2^2 * 5 | 100 | 56 | 56.00% | 0 | 0.00% | 44 | 44.00% | 3 | 3.00% |
| 21 | 3 * 7 | 100 | 55 | 55.00% | 0 | 0.00% | 45 | 45.00% | 1 | 1.00% |
| 22 | 2 * 11 | 100 | 55 | 55.00% | 1 | 1.00% | 44 | 44.00% | 3 | 3.00% |
| 23 | 23 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 24 | 2^3 * 3 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 26 | 2 * 13 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 28 | 2^2 * 7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 29 | 29 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 30 | 2 * 3 * 5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 162 | 2 * 3^4 | 72 | 71 | 98.61% | 1 | 1.39% | 0 | 0.00% | 0 | 0.00% |
| 220 | 2^2 * 5 * 11 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 284 | 2^2 * 71 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 2310 | 2 * 3 * 5 * 7 * 11 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Total: 27 | - | 27 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 25 | - | 25 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 10 | - | 10 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 4 | - | 4 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 3 | - | 3 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 2 | - | 2 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
| Total: 2 | - | 2 | 1 | 50.00% | 1 | 1.55% | 2 | 33.33% | 55 | 55.55% |
| Total: 9 | - | 9 | 11 | 45.66% | 59 | 4.55% | 888 | 33.33% | 99 | 15.15% |
Statistics about all the bases
Total number of sequences:
Total number of sequences that end with a prime:
Total number of cycles:
Total number of open sequences:
Total number of merge sequences:
The base includes all integers exhaustively up to: 37 today