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3835

3835 is a natural number that follows 3834 and precedes 3836. It is an odd composite number with several arithmetic properties that are straightforward to describe.

The prime factorization of 3835 is 5 × 13 × 59, meaning it is the product of

From these factors, several standard arithmetic functions can be derived. Euler’s totient function yields φ(3835) = 2784,

In various numeral systems, 3835 has the following representations: binary 111011111011, hexadecimal EFB, and octal 7373.

Overall, 3835 is notable for being a square-free, odd composite with a simple three-prime factorization, and

three
distinct
primes
and
is
therefore
square-free.
Its
divisors
are
1,
5,
13,
59,
65
(5×13),
295
(5×59),
767
(13×59),
and
3835
(5×13×59).
reflecting
the
count
of
integers
up
to
3835
that
are
relatively
prime
to
it.
The
sum
of
divisors
is
σ(3835)
=
(1+5)(1+13)(1+59)
=
6
×
14
×
60
=
5040.
In
Roman
numerals,
it
is
written
as
MMMDCCCXXXV,
representing
3000
+
800
+
30
+
5.
it
exhibits
standard
divisor
and
totient
properties
typical
of
products
of
distinct
primes.