Last Updated：2025/11/29
(number theory) Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence.
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sociable number
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Source Word
sociable number
Noun
(number
theory)
Any
of
a
sequence
of
numbers
having
the
property
that
the
sum
of
the
divisors
of
each,
excluding
itself,
is
equal
to
the
next
number
in
the
sequence;
in
the
case
of
the
last
number
of
the
sequence,
the
sum
of
the
divisors,
excluding
that
number,
is
equal
to
the
first
number
of
the
sequence.
Japanese Meaning
数論において、ある数列内の各数について、その数自身を除く約数の和が次の数と一致し、数列の最後の数においては、その和が最初の数と一致するという性質を持つ数のこと。
Sense（1）
(number
theory)
Any
of
a
sequence
of
numbers
having
the
property
that
the
sum
of
the
divisors
of
each,
excluding
itself,
is
equal
to
the
next
number
in
the
sequence;
in
the
case
of
the
last
number
of
the
sequence,
the
sum
of
the
divisors,
excluding
that
number,
is
equal
to
the
first
number
of
the
sequence.
（ plural ）
