Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
number sequence
|
| gptkbp:cycle_length |
n (where n > 2)
|
| gptkbp:definedIn |
a set of numbers where each number is the sum of the proper divisors of the previous number, and the sequence returns to the starting number
|
| gptkbp:discoveredBy |
1918
Paul Poulet |
| gptkbp:first_known_cycle_length |
5
|
| gptkbp:first_known_sociable_cycle |
12496, 14288, 15472, 14536, 14264
|
| https://www.w3.org/2000/01/rdf-schema#label |
sociable numbers
|
| gptkbp:includes |
amicable numbers
perfect numbers |
| gptkbp:minimum_cycle_length |
1 (perfect numbers)
2 (amicable numbers) 3 (sociable numbers proper) |
| gptkbp:property |
all numbers in the cycle are distinct
cycle repeats indefinitely sum of proper divisors of each number gives the next number in the cycle |
| gptkbp:relatedTo |
amicable numbers
perfect numbers aliquot sequence |
| gptkbp:sequence_listed_in |
OEIS A003416
|
| gptkbp:studiedBy |
number theory
|
| gptkbp:bfsParent |
gptkb:theory_of_amicable_numbers
|
| gptkbp:bfsLayer |
8
|