38 (number)

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← 37 38 39 →
Cardinalthirty-eight
Ordinal38th
(thirty-eighth)
Factorization2 × 19
Divisors1, 2, 19, 38
Greek numeralΛΗ´
Roman numeralXXXVIII
Binary1001102
Ternary11023
Octal468
Duodecimal3212
Hexadecimal2616

38 (thirty-eight) is the natural number following 37 and preceding 39.

In mathematics[edit]

  • 38! − 1 yields 523022617466601111760007224100074291199999999 which is the 16th factorial prime.[1]
  • There is no answer to the equation φ(x) = 38, making 38 a nontotient.[2]
  • 38 is the sum of the squares of the first three primes.
  • 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.
  • 38 is the largest even number which cannot be written as the sum of two odd composite numbers.
  • The sum of each row of the only non-trivial (order 3) magic hexagon is 38.[3]

In science[edit]

Astronomy[edit]

In other fields[edit]

Most people will see the number 38, but people with red-green color blindness might see 88 instead.

Thirty-eight is also:

See also[edit]

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A002982 (Numbers n such that n! - 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. ^ (sequence A005277 in the OEIS)
  3. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 53. ISBN 978-1-84800-000-1.
  4. ^ Fry, Michael (5 August 2013). "National Geographic, Korea, and the 38th Parallel". National Geographic. Retrieved 15 May 2021.