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2685

2685 is a natural number that follows 2684 and precedes 2686. It is odd and composite, with prime factorization 3 × 5 × 179, making it square-free and the product of three distinct primes.

Its divisors are 1, 3, 5, 15, 179, 537, 895, and 2685. The sum of all divisors

Representations in different bases and systems include: in binary, 1010011111012; in hexadecimal, 0xA7D; in decimal digits,

Additional arithmetic properties include that 2685 is divisible by 3 and by 5, hence by 15, and

is
4320,
so
the
sum
of
proper
divisors
is
1635.
Consequently,
2685
is
a
deficient
number.
The
number
of
divisors
is
8.
Euler’s
totient
function
yields
φ(2685)
=
1424.
2,
6,
8,
5;
and
in
Roman
numerals,
MMDCLXXXV.
its
Carmichael
function
λ(2685)
equals
356.
As
a
product
of
three
distinct
odd
primes,
2685
is
square-free,
and
its
totient
value
1424
reflects
the
multiplicative
structure
of
its
prime
factors.