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4801

4801 is a natural number that follows 4800 and precedes 4802. In arithmetic, it is notable as a prime number.

4801 is prime: it is odd and has no divisors other than 1 and itself. It is

Nearby integers illustrate its factorization: 4800 = 2^6 × 3 × 5^2, and 4802 = 2 × 2401 =

As a prime, 4801 is also square-free, meaning it has no repeated prime factors.

In other contexts, 4801 may appear as a catalog, model, or designation number, or as part of

congruent
to
1
modulo
4,
and
as
such
it
can
be
written
as
a
sum
of
two
squares:
4801
=
65^2
+
24^2.
This
reflects
a
property
of
primes
of
the
form
4k+1
and
aligns
with
the
theorem
that
such
primes
can
be
expressed
as
a
sum
of
two
squares.
2
×
7^4.
a
date
or
fictional
timeline.
Without
context,
it
is
simply
a
numeric
identifier.