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109935

109,935 is a natural number in the base-10 numeral system. It lies between 109,934 and 109,936 and is an odd, composite integer.

Its prime factorization is 3^2 × 5 × 7 × 349, with 349 being prime. The presence

In terms of divisors, the sum of all divisors of 109,935 is computed from its factorization as

As an odd composite with four prime factors counting multiplicity, 109,935 has no widely recognized special

of
the
3^2
factor
indicates
a
square
factor
within
the
number,
while
the
other
prime
factors
show
it
is
a
product
of
several
distinct
primes.
σ(n)
=
σ(3^2)
·
σ(5)
·
σ(7)
·
σ(349)
=
(1+3+9)
·
(1+5)
·
(1+7)
·
(1+349)
=
13
·
6
·
8
·
350
=
218,400.
The
sum
of
proper
divisors
is
218,400
−
109,935
=
108,465.
Since
this
sum
is
less
than
the
number
itself,
109,935
is
a
deficient
number
with
a
deficiency
of
1,470
(i.e.,
n
−
sum_proper
=
1,470).
status
or
named
significance
in
common
mathematical
catalogs.
It
is
primarily
of
interest
for
its
factorization
properties
and
role
as
an
example
of
a
deficient,
composite
integer.