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7924

7924 is a natural number that follows 7923 and precedes 7925. It is an even composite number, and it can be used to illustrate a range of arithmetic and number-theory properties.

The prime factorization of 7924 is 2^2 × 7 × 283. This gives 7924 = 4 × 1981,

Representations in different bases reveal its numeric structure. In decimal, the sum of digits is 7 +

In mathematical contexts, 7924 serves as an example of a small, even composite number with a nontrivial

with
1981
further
factoring
as
7
×
283.
Both
7
and
283
are
primes,
and
283
is
itself
a
prime
number.
Because
7
and
283
are
congruent
to
3
modulo
4
and
occur
to
the
first
power,
7924
cannot
be
expressed
as
a
sum
of
two
squares.
9
+
2
+
4
=
22,
giving
a
digital
root
of
4.
In
hexadecimal,
7924
is
0x1EF4,
and
in
binary
it
is
1111011110100.
In
octal,
it
is
17364
(0o17364).
The
number
is
divisible
by
4
and
by
7,
consistent
with
its
factorization,
but
not
by
8
or
by
3.
prime
factorization
and
multiple
base
representations.
Beyond
these
properties,
there
are
no
widely
noted
constants
or
theorems
uniquely
associated
with
the
number
7924.