Aliquot sequences starting on integer powers n^i

Search and page maintained by Jean-Luc Garambois
Page designed by Karsten Bonath, 2018

Aliquot sequences starting on integer powers n^i (for Open-End sequences, size of terms up to 10^120)

Reservation page, page summarizing the progress of calculations

Web site of this page : www.aliquotes.com
Origin and storage of data: factordb

Definitions

SymbolExplanation
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

Data table for n = 2 = 2
Stats: All: 539 /  Done: 528 ➔ 97.96%  /  Open:  8 ( 8) ➔ 1.48%  /  Merges:  0 ➔ 0.00%  /  Cycle:  3 ➔ 0.56% 

Data table for n = 3 = 3
Stats: All: 251 /  Done: 143 ➔ 56.97%  /  Open: 108 (108) ➔ 43.03%  /  Merges:  8 ➔ 3.19%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 5 = 5
Stats: All: 171 /  Done:  91 ➔ 53.22%  /  Open:  78 ( 78) ➔ 45.61%  /  Merges:  6 ➔ 3.51%  /  Cycle:  2 ➔ 1.17% 

Data table for n = 6 = 2 * 3
Stats: All: 154 /  Done:  84 ➔ 54.55%  /  Open:  68 ( 68) ➔ 44.16%  /  Merges:  3 ➔ 1.95%  /  Cycle:  2 ➔ 1.30% 

Data table for n = 7 = 7
Stats: All: 141 /  Done:  81 ➔ 57.45%  /  Open:  58 ( 58) ➔ 41.13%  /  Merges:  4 ➔ 2.84%  /  Cycle:  2 ➔ 1.42% 

Data table for n = 10 = 2 * 5
Stats: All: 120 /  Done:  69 ➔ 57.50%  /  Open:  50 ( 50) ➔ 41.67%  /  Merges:  5 ➔ 4.17%  /  Cycle:  1 ➔ 0.83% 

Data table for n = 11 = 11
Stats: All: 115 /  Done:  68 ➔ 59.13%  /  Open:  46 ( 46) ➔ 40.00%  /  Merges:  3 ➔ 2.61%  /  Cycle:  1 ➔ 0.87% 

Data table for n = 12 = 2^2 * 3
Stats: All: 112 /  Done:  60 ➔ 53.57%  /  Open:  51 ( 51) ➔ 45.54%  /  Merges:  6 ➔ 5.36%  /  Cycle:  1 ➔ 0.89% 

Data table for n = 13 = 13
Stats: All: 107 /  Done:  62 ➔ 57.94%  /  Open:  45 ( 19) ➔ 42.06%  /  Merges:  3 ➔ 2.80%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 14 = 2 * 7
Stats: All: 104 /  Done:  65 ➔ 62.50%  /  Open:  39 ( 36) ➔ 37.50%  /  Merges:  3 ➔ 2.88%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 15 = 3 * 5
Stats: All: 103 /  Done:  58 ➔ 56.31%  /  Open:  44 ( 44) ➔ 42.72%  /  Merges:  6 ➔ 5.83%  /  Cycle:  1 ➔ 0.97% 

Data table for n = 17 = 17
Stats: All: 97 /  Done:  55 ➔ 56.70%  /  Open:  42 ( 42) ➔ 43.30%  /  Merges:  2 ➔ 2.06%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 21 = 3 * 7
Stats: All: 91 /  Done:  50 ➔ 54.95%  /  Open:  41 ( 30) ➔ 45.05%  /  Merges:  1 ➔ 1.10%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 24 = 2^3 * 3
Stats: All: 86 /  Done:  50 ➔ 58.14%  /  Open:  36 ( 2) ➔ 41.86%  /  Merges:  2 ➔ 2.33%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 28 = 2^2 * 7
Stats: All: 84 /  Done:  52 ➔ 61.90%  /  Open:  31 ( 31) ➔ 36.90%  /  Merges:  1 ➔ 1.19%  /  Cycle:  1 ➔ 1.19% 

Data table for n = 30 = 2 * 3 * 5
Stats: All: 82 /  Done:  38 ➔ 46.34%  /  Open:  44 ( 2) ➔ 53.66%  /  Merges:  0 ➔ 0.00%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 210 = 2 * 3 * 5 * 7
Stats: All: 52 /  Done:  25 ➔ 48.08%  /  Open:  26 ( 3) ➔ 50.00%  /  Merges:  1 ➔ 1.92%  /  Cycle:  1 ➔ 1.92% 

Data table for n = 385 = 5 * 7 * 11
Stats: All: 49 /  Done:  29 ➔ 59.18%  /  Open:  20 ( 4) ➔ 40.82%  /  Merges:  2 ➔ 4.08%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 439 = 439
Stats: All: 47 /  Done:  27 ➔ 57.45%  /  Open:  20 ( 10) ➔ 42.55%  /  Merges:  0 ➔ 0.00%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 496 = 2^4 * 31
Stats: All: 44 /  Done:  24 ➔ 54.55%  /  Open:  19 ( 19) ➔ 43.18%  /  Merges:  1 ➔ 2.27%  /  Cycle:  1 ➔ 2.27% 

Data table for n = 1155 = 3 * 5 * 7 *11
Stats: All: 41 /  Done:  22 ➔ 53.66%  /  Open:  19 ( 19) ➔ 46.34%  /  Merges:  2 ➔ 4.88%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 8128 = 2^6 * 127
Stats: All: 30 /  Done:  16 ➔ 53.33%  /  Open:  12 ( 12) ➔ 40.00%  /  Merges:  0 ➔ 0.00%  /  Cycle:  2 ➔ 6.67% 

Data table for n = 510510 = 2 * 3 * 5 * 7 * 11 * 13 * 17
Stats: All: 22 /  Done:  12 ➔ 54.55%  /  Open:  10 ( 6) ➔ 45.45%  /  Merges:  1 ➔ 4.55%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 9699690 = 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19
Stats: All: 18 /  Done:  9 ➔ 50.00%  /  Open:  9 ( 1) ➔ 50.00%  /  Merges:  0 ➔ 0.00%  /  Cycle:  0 ➔ 0.00% 

Data table for n = 82589933 = 82589933
Stats: All: 17 /  Done:  9 ➔ 52.94%  /  Open:  8 ( 8) ➔ 47.06%  /  Merges:  0 ➔ 0.00%  /  Cycle:  0 ➔ 0.00% 

Data table for n = (10^10+19) = (10^10+19)
Stats: All: 15 /  Done:  9 ➔ 60.00%  /  Open:  6 ( 6) ➔ 40.00%  /  Merges:  0 ➔ 0.00%  /  Cycle:  0 ➔ 0.00%