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7089

7089 is a positive integer. It is odd and composite, with prime factorization 3 × 17 × 139.

In decimal, it is written as 7089. In other common bases, it equals 1101110110001 in binary, 1BB1

Mathematical properties: Since 3 appears to the first power in its prime factorization, 7089 is not representable

Applications: As a numeric value, 7089 can appear in counting, combinatorics, and computer science examples. It

in
hexadecimal,
and
15661
in
octal.
Notably,
the
hexadecimal
form
1BB1
is
a
palindrome.
as
a
sum
of
two
squares,
according
to
the
sum
of
two
squares
theorem.
It
is,
however,
representable
as
the
sum
of
three
squares
(by
Legendre's
three-square
theorem,
because
7089
is
not
of
the
form
4^a(8b+7)).
It
is
congruent
to
1
modulo
4
(7089
≡
1
(mod
4)).
also
serves
as
a
typical
test
case
for
algorithms
dealing
with
base
conversion
or
factorization
due
to
its
small
but
nontrivial
prime
factors.