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9996

9996 is a positive integer that lies between 9995 and 9997. It is an even and composite number.

The prime factorization of 9996 is 2^2 × 3 × 7^2 × 17. From this factorization, 9996

The sum of the positive divisors of 9996 is 28728, so the sum of its proper divisors

In base representations, 9996 is written as 10011100001100 in binary, 23414 in octal, and 0x270C in hexadecimal.

Divisibility properties follow from its prime factorization. 9996 is divisible by 3, 4, 7, and 17, and

Beyond these arithmetic aspects, 9996 is primarily notable for its factorization and its status as an abundant

has
36
positive
divisors.
Its
divisors
are
all
products
formed
by
choosing
an
exponent
for
2
from
{0,1,2},
for
3
from
{0,1},
for
7
from
{0,1,2},
and
for
17
from
{0,1}.
is
28728
−
9996
=
18732.
Since
the
sum
of
proper
divisors
exceeds
9996,
9996
is
classified
as
an
abundant
number,
with
an
abundance
of
8736.
by
several
products
such
as
12,
28,
and
84.
For
example,
9996
=
12
×
833
and
9996
=
84
×
119.
number.
It
serves
as
an
example
in
discussions
of
divisors,
base
representations,
and
integer
classifications.