Hyperperfect number

1 week ago 165

Reverted edit by ArtisticPainter (talk) to last version by 173.79.19.248

← Previous revision Revision as of 12:37, 12 July 2025
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! {{mvar|k}} !! Values of {{mvar|i}} !! OEIS
! {{mvar|k}} !! Values of {{mvar|i}} !! OEIS
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! 2
| 2, 4, 5, 6, 9, 22, 37, 41, 90, 102, 105, 317, 520, 541, 561, 648, 780, 786, 957, 1353, 2224, 2521, 6184, 7989, 8890, 19217, 20746, 31722, 37056, 69581, 195430, 225922, 506233, 761457, 1180181, ... || {{OEIS2C|A014224}}
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! 4
| 5, 7, 15, 47, 81, 115, 267, 285, 7641, 19089, 25831, 32115, 59811, 70155, 178715, ... || {{OEIS2C|A059613}}
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! 6
| 2, 3, 6, 9, 21, 25, 33, 49, 54, 133, 245, 255, 318, 1023, 1486, 3334, 6821, 8555, 11605, 42502, 44409, 90291, 92511, 140303, ... || {{OEIS2C|A191469}}
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! 10
| 3, 17, 23, 79, 273, 2185, 4087, 5855, 17151, ..., 79133, ... ||
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! 12
| 2, 4, 5, 6, 13, 24, 64, 133, 268, 744, 952, 1261, 5794, 11833, ... ||
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! 16
! 16
| 11, 21, 127, 149, 469, 2019, 13953, 21689, 25679, ..., 81417, ... || {{OEIS2C|A034922}}
| 11, 21, 127, 149, 469, ... || {{OEIS2C|A034922}}
|-
! 18
| 3, 4, 5, 7, 10, 12, 22, 52, 65, 125, 197, 267, 335, 348, 412, 1666, 1705, 3318, 11271, ..., 37074, ..., 61980, ..., 69025, ... ||
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! 22
! 22
| 17, 61, 445, 4381, 15041, 17569, ... ||
| 17, 61, 445, ... ||  
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! 28
! 28
| 33, 89, 101, 2439, 4605, 5905, 21193, 24183, ... ||
| 33, 89, 101, ... ||  
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! 30
| 3, 5, 29, 103, 106, 174, 615, 954, 1378, 5622, 6258, 8493, 13639, 14891, ..., 26243, ..., 31835, ..., 59713, ..., 78759, ... ||
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! 36
! 36
| 67, 95, 341, 577, 2651, 11761, ... ||
| 67, 95, 341, ... ||  
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! 40
| 3, 5, 55, 161, 197, 1697, 11991, 32295, 57783, ... ||
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! 42
! 42
| 4, 6, 42, 64, 65, 1017, 3390, 3894, 8904, 12976, 63177, ... || {{OEIS2C|A034923}}
| 4, 6, 42, 64, 65, ... || {{OEIS2C|A034923}}
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! 46
! 46
| 5, 11, 13, 53, 115, 899, 2287, 47667, ... || {{OEIS2C|A034924}}
| 5, 11, 13, 53, 115, ... || {{OEIS2C|A034924}}
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|-
! 52
! 52
| 21, 173, 2153, 11793, ... ||
| 21, 173, ... ||  
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|-
! 58
! 58
| 11, 117, 21351, ... ||
| 11, 117, ... ||  
|-
! 60
| 5, 13, 24, 42, 81, 112, 2592, 7609, 13054, 23088, 46427, ... ||
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! 66
| 2, 65, 345, 373, 2073, 4158, 4839, 39701, ... ||
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! 70
| 3019, 19719, ... ||
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|-
! 72
! 72
| 21, 49, 1744, 2901, 6918, 7320, ... ||
| 21, 49, ... ||  
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! 78
| 2, 4, 16, 29, 47, 142, 352, 4051, 9587, ... ||
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! 82
| 965, 2421, 12377, ... ||
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! 88
! 88
| 9, 41, 51, 109, 483, 42211, ... || {{OEIS2C|A034925}}
| 9, 41, 51, 109, 483, ... || {{OEIS2C|A034925}}
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! 96
! 96
| 6, 11, 34, 12239, 12503, 19937, ... ||
| 6, 11, 34, ... ||  
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! 100
! 100
| 3, 7, 9, 19, 29, 99, 145, 623, 3001, 6225, ..., 23163, ... || {{OEIS2C|A034926}}
| 3, 7, 9, 19, 29, 99, 145, ... || {{OEIS2C|A034926}}
|-
! 102
| 5, 17, 18, 40, 42, 45, 3616, 10441, 13192, 36005, 47825, ... ||
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! 106
| 7, 745, 3031, ..., 53125, ... ||
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! 108
| 4, 12, 19, 33, 88, 112, 225, 528, 870, 1936, 54683, ... ||
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