Home

7049

7049 is a natural number that follows 7048 and precedes 7050. In mathematics, it is notable for being the product of three distinct primes, making it a sphenic number.

The prime factorization of 7049 is 7 × 19 × 53. This means 7049 is squarefree and

In terms of arithmetic functions, the Euler totient of 7049 is 5616, calculated as 7049 × (1

7049 can be expressed in various bases: in binary it is 1101110001001₂, in octal it is 15611₈,

has
exactly
eight
positive
divisors:
1,
7,
19,
53,
133
(7×19),
371
(7×53),
1007
(19×53),
and
7049
(7×19×53).
The
sum
of
its
prime
factors
is
7
+
19
+
53
=
79,
and
the
number
of
divisors
is
8.
−
1/7)
×
(1
−
1/19)
×
(1
−
1/53).
The
sum
of
divisors
σ(7049)
equals
8640.
Since
σ(7049)
<
2
×
7049,
the
number
is
deficient.
It
is
an
odd,
composite
number
and
not
a
prime
power.
and
in
hexadecimal
it
is
1B89₁₆.
As
a
three-prime
product
with
a
relatively
large
set
of
factors,
7049
serves
as
a
representative
example
in
discussions
of
sphenic
numbers
and
divisor-related
properties
in
elementary
and
introductory
number
theory.
See
also
sphenic
numbers,
prime
factorization,
and
divisor
functions.