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9952

9952 is a natural number that follows 9951 and precedes 9953. It is an even and composite number, with a prime factorization of 2^5 × 311. This means 9952 is divisible by 2, 4, 8, 16, and 32, but not by 3, 5, or 7.

In common numeral systems, 9952 in base 2 is 10011011100000, and in base 16 it is 0x26E0.

The factorization 2^5 × 311 indicates that 311 is a prime number. As such, 9952 is not

Beyond its basic arithmetic properties, 9952 serves as an example of a modestly large composite number used

In
base
8,
9952
equals
23340.
The
decimal
digits
of
9952
sum
to
25,
giving
a
digital
root
of
7.
a
prime
and
has
multiple
divisors
beyond
1
and
itself
(including
2,
4,
8,
16,
32,
311,
622,
1244,
2488,
and
4976).
in
teaching
and
problem
contexts
to
illustrate
factorization,
base
conversions,
and
divisibility.
There
is
no
widely
recognized
mathematical
constant
or
theorem
uniquely
associated
with
the
number
9952.
Its
significance
is
primarily
as
a
concrete
instance
of
a
composite
integer
with
a
simple
factorization
pattern.