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450000s

The 450000s refers to the block of integers from 450000 to 450999 inclusive, a single thousand-number interval in the decimal system. Each member can be expressed as 450000 + k with k ranging from 0 to 999.

In decimal notation, numbers in this block share the leading digits 450 and vary in the trailing

Arithmetic properties of the block include basic counts for divisibility. Among the 1000 consecutive integers 450000

The 450000s is primarily of interest as a concrete example of a range of consecutive integers. It

See also: natural numbers, ranges in mathematics, decimal numeral system, divisibility.

three
digits.
This
block
sits
within
the
broader
range
of
numbers
in
the
450000s,
which
are
named
by
their
thousand-based
position
in
the
number
line.
through
450999,
exactly
500
are
even,
200
are
multiples
of
5
(ending
in
0
or
5),
100
are
multiples
of
10
(ending
in
0),
and
334
are
multiples
of
3
(including
450000
itself,
since
the
sum
of
digits
of
450000
is
9).
The
distribution
of
prime
numbers
in
this
interval
can
be
estimated
by
the
prime
number
theorem:
roughly
999
/
ln(450000)
is
about
75–80
primes,
though
the
exact
count
requires
explicit
primality
testing.
illustrates
concepts
such
as
place
value,
modular
arithmetic
within
a
fixed
interval,
and
the
practical
density
of
primes
in
a
large
block
of
numbers.
Such
ranges
are
commonly
used
in
teaching
to
demonstrate
divisibility
rules
and
interval
reasoning.