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3584

3584 is a natural number that follows 3583 and precedes 3585. In prime factorization terms, it equals 2^9 × 7, making it an even and composite number.

The divisors of 3584 come from its factorization. There are 20 positive divisors: the ten powers of

In other numeral systems, 3584 has simple representations: in binary it is 111000000000, in octal it is

Related observations include that 3584 equals 14 × 256 and, equivalently, 2^8 × 7 × 2. The

two
(1,
2,
4,
8,
16,
32,
64,
128,
256,
512)
and
the
ten
multiples
of
seven
by
those
powers
(7,
14,
28,
56,
112,
224,
448,
896,
1792,
3584).
The
sum
of
all
divisors
is
8184,
so
the
sum
of
proper
divisors
is
4600.
Therefore,
3584
is
an
abundant
number,
since
the
sum
of
its
proper
divisors
exceeds
the
number
itself.
7000,
and
in
hexadecimal
it
is
E00.
In
Roman
numerals,
3584
is
written
as
MMMDLXXXIV.
combination
2^9
×
7
highlights
its
structure
as
a
product
of
a
high
power
of
two
with
a
small
odd
factor,
a
form
that
influences
its
divisors
and
base
representations.