38 (number)
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|---|---|---|---|---|
| Cardinal | thirty-eight | |||
| Ordinal | 38th (thirty-eighth) | |||
| Factorization | 2 × 19 | |||
| Divisors | 1, 2, 19, 38 | |||
| Greek numeral | ΛΗ´ | |||
| Roman numeral | XXXVIII | |||
| Binary | 1001102 | |||
| Ternary | 11023 | |||
| Senary | 1026 | |||
| Octal | 468 | |||
| Duodecimal | 3212 | |||
| Hexadecimal | 2616 | |||
38 (thirty-eight) is the natural number following 37 and preceding 39.
In mathematics
[edit]- specifically, the 11th discrete Semiprime,[1] it being the 7th of the form (2.q).
- the first member of the third cluster of two discrete semiprimes 38, 39 the next such cluster is 57, 58.
- with an aliquot sum of 22 in an aliquot sequence of five composite numbers (38,22,14,10,8,7,1,0) to the Prime in the 7-aliquot tree. 38 is the first semiprime within a chain of 4 semiprimes in its aliquot sequence (38,22,14,10). The next semiprime with a four semiprime chain is 166.
- 38! − 1 yields 523022617466601111760007224100074291199999999 which is the 16th factorial prime.[2]
- There is no answer to the equation φ(x) = 38, making 38 a nontotient.[3]
- 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.[4]
In science
[edit]- The atomic number of strontium
Astronomy
[edit]- The Messier object M38, a magnitude 7.0 open cluster in the constellation Auriga
- The New General Catalogue object NGC 38, a spiral galaxy in the constellation Pisces
In other fields
[edit]
Thirty-eight is also:
- The 38th parallel north is the pre-Korean War boundary between North Korea and South Korea.[5]
- The number of slots on an American roulette wheel (0, 00, and 1 through 36; European roulette does not use the 00 slot and has only 37 slots)
- The Ishihara test is a color vision test consisting of 38 pseudoisochromatic plates.[6]
- A "38" is often the name for a snub nose .38 caliber revolver.
- The 38 class is the most famous class of steam locomotive used in New South Wales
- Gerald Ford, 38th President of the United States
- Arnold Schwarzenegger, 38th Governor of California, most recent Republican governor of California, and the second governor to be born outside of the United States
- Cats have a total of 38 chromosomes in their genome.
- Number used by Zane Smith and Front Row Motorsports to win the 2022 NASCAR Camping World Truck Series championship.
- The Lucky 38, the casino from Fallout: New Vegas.
See also
[edit]References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 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.
- ^ (sequence A005277 in the OEIS)
- ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 53. ISBN 978-1-84800-000-1.
- ^ Fry, Michael (5 August 2013). "National Geographic, Korea, and the 38th Parallel". National Geographic. Archived from the original on February 25, 2021. Retrieved 15 May 2021.
- ^ Fluck, Daniel (23 March 2010). "Color Blindness Tests". Colblinder. Retrieved 30 November 2022.