Definition:Sociable Number
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Definition
A sociable number is a positive integer which occurs as a term in a sociable chain.
Also defined as
Some sources insist that the sociable chain in question be of order $3$ or greater.
That is, they exclude amicable pairs from the definition.
Also see
- Definition:Amicable Pair
- Results about sociable numbers can be found here.
Sources
- 1918: Paul Poulet: $\#$4865 (Interméd. Math. Vol. 25: pp. 100 – 101)
- Weisstein, Eric W. "Sociable Numbers." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SociableNumbers.html