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Nine

Nine is the natural number that comes after eight and before ten. In decimal notation it is written as 9 and in Roman numerals as IX. It is the largest single-digit number in common use.

In mathematics, 9 is a composite number with divisors 1, 3, and 9. It is the square

Culturally, nine has various symbolic meanings. In Norse mythology, Yggdrasil, the world tree, is said to connect

In arts and media, Nine has been used as a title for several works, including a 2009

of
3,
making
it
a
perfect
square.
It
is
odd
and,
in
base-10
arithmetic,
has
a
notable
property:
the
sum
of
the
digits
of
any
multiple
of
9
is
itself
a
multiple
of
9,
and
the
digital
root
of
such
numbers
is
9.
It
is
also
a
Harshad
number
in
base
10,
meaning
it
is
divisible
by
the
sum
of
its
digits.
nine
worlds,
and
Odin
is
told
to
have
hung
on
the
tree
for
nine
nights
to
gain
wisdom.
The
nine
Muses
occupy
an
important
place
in
Greek
myth
as
patronesses
of
the
arts.
In
East
Asian
cultures,
the
number
nine
is
sometimes
associated
with
longevity
and
completeness,
and
may
appear
in
imperial
symbolism
and
celebrations.
In
everyday
idioms,
phrases
such
as
“cloud
nine”
and
“dressed
to
the
nines”
reflect
its
continued
presence
in
language.
film
adaptation
of
the
stage
musical,
which
itself
draws
on
Federico
Fellini’s
8½.
The
word
also
appears
in
music,
literature,
and
other
media,
where
it
is
often
chosen
for
its
symbolic
connotations
or
rhythmic
qualities.