Home

7128

7128 is a positive integer. It is even and composite, with a rich factorization and multiple divisors, making it a typical example in elementary number theory discussions.

Its prime factorization is 2^3 × 3^4 × 11. From this, the number of positive divisors is

In various numeral bases, 7128 has the representations 0b1101111011000 in binary, 0x1BD8 in hexadecimal, and 0o15730

7128 is not a sum of two squares. Its prime factorization includes the prime 11, which is

40.
Notable
divisors
include
1,
2,
3,
4,
6,
8,
9,
11,
12,
18,
22,
24,
33,
36,
44,
66,
72,
88,
99,
132,
198,
264,
297,
396,
648,
792,
1188,
2376,
and
7128
itself.
It
is
divisible
by
8
and
by
9,
with
7128
=
8
×
891
=
9
×
792
=
81
×
88,
illustrating
the
presence
of
both
2-power
and
3-power
factors
in
its
structure.
in
octal.
The
decimal
form
is
also
a
Harshad
(Niven)
number,
since
the
sum
of
its
digits
is
7
+
1
+
2
+
8
=
18,
and
7128
÷
18
=
396.
congruent
to
3
modulo
4
with
an
odd
exponent,
a
condition
that
prevents
expressing
the
number
as
a^2
+
b^2
for
integers
a
and
b.