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8448

8448 is a positive integer with several notable mathematical properties. Its prime factorization is 2^8 × 3 × 11, making it a composite number. It can be expressed as 256 × 33, and in binary it can be written as the sum of two powers of two: 2^13 + 2^8. In hexadecimal, 8448 is 0x2100.

The number is highly even, being divisible by 2^8 (256), as well as by 3 and by

8448 has no representation as a sum of two squares. By the standard criterion for sums of

In summary, 8448 is a highly factorizable, even integer with prime factors 2, 3, and 11, equal

11.
Consequently,
its
total
number
of
positive
divisors
is
(8+1)
×
(1+1)
×
(1+1)
=
9
×
2
×
2
=
36.
It
is
not
a
prime,
nor
a
perfect
square,
since
the
exponents
of
3
and
11
in
its
factorization
are
odd.
two
squares,
any
prime
congruent
to
3
mod
4
appearing
with
an
odd
exponent—in
this
case
the
prime
3—precludes
such
a
representation.
This
aligns
with
the
broader
number-theoretic
result
that
numbers
of
the
form
2^a
×
3^b
×
11^c
with
b
or
c
odd
cannot
be
written
as
a^2
+
b^2.
to
2^8
×
3
×
11
and
0x2100
in
hex.
It
is
not
a
prime
or
a
square,
and
it
does
not
express
as
a
sum
of
two
squares.