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5171

5171 is a natural number that follows 5170 and precedes 5172. It is a prime number, having only the positive divisors 1 and 5171. A check of divisibility by primes up to 71 yields no factors, confirming its primality. As an odd prime, 5171 is congruent to 3 modulo 4, and it is 1 modulo 5.

Beyond decimal notation, 5171 has several common representations in other bases. In binary it is 1010000110011.

As a prime number, 5171 participates in the standard properties of primes: it has no divisors other

In
base
3
it
appears
as
21002112_3,
and
in
base
4
it
is
1100303_4.
In
hexadecimal,
5171
equals
0x1433.
These
representations
illustrate
how
the
same
value
is
expressed
differently
across
numeral
systems.
than
1
and
itself,
and
it
cannot
be
formed
by
multiplying
two
smaller
integers
greater
than
1.
Its
primality
situates
it
within
the
sequence
of
primes
and
makes
it
of
occasional
interest
in
number
theory
explorations,
such
as
tests
of
primality,
modular
arithmetic,
and
base-representation
algorithms.