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3541

3541 is a natural number that appears as a four-digit decimal value. It is an odd integer and, by standard primality tests, a prime number since no divisor less than or equal to the square root of 3541 divides it.

As a prime congruent to 1 modulo 4, 3541 can be expressed as a sum of two

In different numeral systems, 3541 has the following representations: in binary it is 110111010101, in hexadecimal

Context and properties: 3541 lies between the squares of 59 and 60 (59^2 = 3481, 60^2 = 3600),

In summary, 3541 is a prime four-digit integer notable for its simple base representations and a two-square

squares.
One
such
representation
is
3541
=
54^2
+
25^2
(2916
+
625).
This
aligns
with
a
classical
number-theory
result
that
primes
of
this
form
admit
a
two-square
decomposition.
it
is
0xDD5,
and
in
octal
it
is
6725.
Its
Roman
numeral
representation
is
MMMDXLI,
reflecting
3000
(MMM),
500
(D),
40
(XL),
and
1
(I).
illustrating
its
position
in
the
sequence
of
natural
numbers
near
a
square.
As
a
prime
and
a
number
representable
as
a
sum
of
two
squares,
3541
serves
as
a
straightforward
example
in
discussions
of
primality
and
the
sum-of-squares
theorem.
decomposition,
making
it
a
convenient
case
study
in
introductory
number-theory
discussions.