167 (number)
| ||||
---|---|---|---|---|
Cardinal | one hundred sixty-seven | |||
Ordinal | 167th (one hundred sixty-seventh) | |||
Factorization | prime | |||
Prime | 39th, chen, gaussian, safe | |||
Divisors | 1, 167 | |||
Greek numeral | ΡΞΖ´ | |||
Roman numeral | CLXVII | |||
Binary | 101001112 | |||
Ternary | 200123 | |||
Senary | 4356 | |||
Octal | 2478 | |||
Duodecimal | 11B12 | |||
Hexadecimal | A716 |
167 (one hundred [and] sixty-seven) is the natural number following 166 and preceding 168.
In mathematics
167 is the 39th prime number, an
167 is the smallest number which requires six terms when expressed using the greedy algorithm as a sum of squares, 167 = 144 + 16 + 4 + 1 + 1 + 1,[3] although by Lagrange's four-square theorem its non-greedy expression as a sum of squares can be shorter, e.g. 167 = 121 + 36 + 9 + 1.
167 is a full reptend prime in base 10, since the decimal expansion of 1/167 repeats the following 166 digits: 0.00598802395209580838323353293413173652694610778443113772455089820359281437125748502994 0119760479041916167664670658682634730538922155688622754491017964071856287425149700...
167 is a highly cototient number, as it is the smallest number k with exactly 15 solutions to the equation x - φ(x) = k. It is also a strictly non-palindromic number.
167 is the smallest multi-digit prime such that the product of digits is equal to the number of digits times the sum of the digits, i. e., 1×6×7 = 3×(1+6+7)
167 is the smallest positive integer d such that the imaginary
In astronomy
- 167 Urda is a main belt asteroid
- 167P/CINEOS is a periodic comet in the Solar System
- IC 167 is interacting galaxies
In the military
- Marine Light Attack Helicopter Squadron 167 is a United States Marine Corps helicopter squadron
- Martin Model 167 was a U.S.-designed light bomber during World War II
- U.S. Navy Diver-class rescue and salvage shipduring World War II
- USS Acree (DE-167) was a U.S. Navy Cannon-class destroyer escort during World War II
- Alamosa-class cargo shipduring World War II
- USS Cowell (DD-167) was a U.S. Navy Wickes-class destroyer during World War I
- USS Freestone (APA-167) was a U.S. Navy Haskell-class attack transport during World War II
- USS Leyden (IX-167) was a transport ship during World War II
- Narwhal-class submarineduring World War II
In sports
- Martina Navratilova has 167 tennis titles, an all-time record for men or women
In transportation
- London Buses route 167
- 167th Street is an elevated local station in the Bronx on the IRT Jerome Avenue Line, 4 train, of the New York City Subway.
- 167th Street is an underground local station in the Bronx on the IND Concourse Line, B and D trains, of the New York City Subway.
- List of highways numbered 167
In other fields
167 is also:
- The year AD 167 or 167 BC
- The Universal Disk Format (or ECMA-167) format of a file system for optical media storage
- C167 family is a 16-bit microcontroller architecture from Infineon
- Pips are dots on the face of a die, denoting its value. The pip count at the start of a backgammon game is 167[importance?]
See also
- M167 (disambiguation)
- List of highways numbered 167
- United States Supreme Court cases, Volume 167
- United Nations Security Council Resolution 167
External links
References
- ^ Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005385 (Safe primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006892 (Representation as a sum of squares requires n squares with greedy algorithm)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Tables of imaginary quadratic fields with small class number". numbertheory.org.