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It is the 307th prime number.It is also a twin prime as 2029 is also prime.In some instances 2027 comes very close to being
non-prime, but does not quite make it.Notable examples include being divisible by
9 and
225 and by
15 and
135 with a
remainder of only 2, 22 and 92 as well as 23 and 88 with a remainder of only 3, by 25 and 81 together with
75 and
27 with a
remainder of only 2, and by the number 45 with a remainder of only
2.
Roots
Like all large numbers two units larger than a
perfect square (2025), the square root of 2027 is very close to the
square root of that perfect square (45) plus the reciprocal of the square root
(in this case 1/45 adding up to 45.022222...).The difference between the two numbers is less than
0.00000549, the square root of 2027 being 45.022216737961..., and
the difference is calculated as accurately as one desires by
SQRT(2027) - SQRT(2025 2 1/2025).2027's
cubic root is 12.6556537..., being situated between the cube of 12,
1728 and the cube of 13, 2197.
Factors
As a factor in
multiplication, 2027 produces some notable numbers very close to
large round base 10 numbers: 2027 x 37 = 74,999, 2027 x 74 =
149,998, 2027 x 148 = 299,996 and 2027 x 296 =
599,992.This makes this number useful
for storage purposes.If one needs to
store exactly 300,000 units of a product in a storage area of
narrow dimensions, and 150 units wide is not an option, one can
come very close to the goal with a length of 2027
units.The square of 2027 is
4,108,729.Its cube is
8,328,393,683.
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