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7980

7980 is a natural number that follows 7979 and precedes 7981. It is an even composite integer with prime factorization 2^2 × 3 × 5 × 7 × 19, equating to 4 × 3 × 5 × 7 × 19. Because of this factorization, 7980 has 48 positive divisors. The number is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, among others, and it is also a multiple of 60 (since 60 = 2^2 × 3 × 5 and 7980 contains those factors).

In various representations, 7980 appears as follows: decimal 7980; binary 1111100101100; octal 17454; and hexadecimal 1F2C.

Context and properties: 7980 is not a prime number, nor a perfect square. Its factorization shows it

Applications and occurrence: As a specific integer, 7980 commonly appears in mathematical examples and computations, particularly

The
binary
form
reflects
its
13-bit
magnitude,
while
the
hexadecimal
form
is
convenient
for
compact
digital
representations.
is
the
product
of
several
small
primes,
which
also
means
it
has
a
relatively
large
number
of
divisors
for
an
integer
of
this
size.
The
digit
sum
of
7980
is
24,
making
it
divisible
by
3
and
by
6,
but
not
by
9
or
11.
involving
factorization,
divisibility,
and
base
conversions.
It
also
serves
as
an
example
of
a
number
that
is
a
multiple
of
common
small
integers
such
as
12,
20,
and
60.