67 (number)

From Wikipedia, the free encyclopedia
← 66 67 68 →
60 61 62 63 64 65 66 67 68 69
List of numbersIntegers
0 10 20 30 40 50 60 70 80 90
Cardinalsixty-seven
Ordinal67th
(sixty-seventh)
Factorizationprime
Prime19th
Divisors1, 67
Greek numeralΞΖ´
Roman numeralLXVII
Binary10000112
Ternary21113
Octal1038
Duodecimal5712
Hexadecimal4316

67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.

In mathematics[]

67 is:

  • the 19th prime number (the next is 71).
  • a Chen prime.[1]
  • an irregular prime.[2]
  • a lucky prime.[3]
  • the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
  • a Heegner number.[4]
  • a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.[5]
  • palindromic in the consecutive bases 5 (2325) and 6 (1516).

In science[]

  • The atomic number of holmium, a lanthanide.

Astronomy[]

  • Messier object M67, a magnitude 7.5 open cluster in the constellation Cancer.
  • The New General Catalogue object NGC 67, an elliptical galaxy in the constellation Andromeda.

In music[]

Other fields[]

Sixty-seven is:

  • The registry of the U.S. Navy's aircraft carrier USS John F. Kennedy (CV-67), named after U.S. President John F. Kennedy.
  • The number of the French department Bas-Rhin.
  • The number of counties in Alabama, Florida, and Pennsylvania.
  • The province/traffic code of Zonguldak Province in Turkey
  • In the US, *67 is a common prefix-code for blocking caller ID info on the subsequent call.

In sports[]

  • Buddy Arrington's best-known NASCAR car number.
  • The Ottawa 67's, founded in 1967.
  • The number of throws in judo.
  • Pekka Koskela skated the 1000 metres in 1:07:00 (67 seconds) on 10 November 2007, a world record at the time.
  • The number of the laps of the German Grand Prix since 2002 if the race was held at Hockenheimring.

External links[]

References[]

  1. ^ "Sloane's A109611: Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-08.
  2. ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. ^ "Sloane's A003173 : Heegner numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  5. ^ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
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