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3762

3762 is a natural number that follows 3761 and precedes 3763. It is an even, composite integer with a prime factorization of 2 × 3^2 × 11 × 19.

This factorization yields 24 positive divisors. It is divisible by 9 and by 18, reflecting the presence

3762 is not a prime and is not a perfect square. Additionally, it cannot be expressed as

Outside pure number theory, 3762 can appear as an identifying label in various catalogs or calendars. As

of
the
3^2
factor
and
the
even
factor
2.
The
sum
of
all
divisors
is
9360,
so
the
sum
of
proper
divisors
is
9360
−
3762
=
5598,
making
3762
an
abundant
number
(the
sum
of
its
proper
divisors
exceeds
the
number
itself).
a
sum
of
two
integer
squares
because
its
prime
factors
include
11
and
19,
both
congruent
to
3
modulo
4
with
odd
exponents,
which
violates
the
necessary
condition
for
such
representations.
a
standalone
numeric
identifier,
it
has
no
widely
known
universal
significance
beyond
its
mathematical
properties
and
its
place
in
the
natural
number
sequence.
In
mathematics,
it
is
categorized
among
abundant
numbers
and
as
a
member
of
the
set
of
even
composite
integers
with
the
stated
prime
factorization.