38 (number)

← 37 38 39 →
← 30 31 32 33 34 35 36 37 38 39 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	thirty-eight
Ordinal	38th (thirty-eighth)
Factorization	2 × 19
Divisors	1, 2, 19, 38
Greek numeral	ΛΗ´
Roman numeral	XXXVIII, 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

• 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

• The atomic number of strontium

Astronomy

• 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

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

Thirty-eight is also:

• The 38th parallel north is the pre-Korean War boundary between North Korea and South Korea. ^[4]
• 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. ^[5]
• 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.

See also

• List of highways numbered 38

References

1. Sloane, N. J. A. (ed.). "SequenceA002982(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.
5. Fluck, Daniel. "Color Blindness Tests". Colblinder. Retrieved 30 November 2022.