27 (number)

27 (twenty-seven) is the natural number following 26 and preceding 28.

In mathematics

  • Twenty-seven is a perfect cube, being 33 = 3 × 3 × 3. 27 is also 23 (see tetration). There are exactly 27 straight lines on a smooth cubic surface, which give a basis of the fundamental representation of the E6 Lie algebra. 27 is also a decagonal number.
  • In base 10, it is the first composite number not evenly divisible by any of its digits.
  • It is the radix (base) of the septemvigesimal positional numeral system.
  • 27 is the only positive integer that is 3 times the sum of its digits.
  • In a prime reciprocal magic square of the multiples of 1/7, the magic constant is 27.
  • In the Collatz conjecture (aka the "3n + 1 conjecture") a starting value of 27 requires 112 steps to reach 1, many more than any lower number.
  • The unique simple formally real Jordan algebra, the exceptional Jordan algebra of self-adjoint 3 by 3 matrices of quaternions, is 27-dimensional.
  • In base 10, it is a Smith number and a Harshad number.
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    This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/27_(number)

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