163 (number)

163 is the natural number following 162 and preceding 164.

List of numbers — Integers << 160 161 162 163 164 165 166 167 168 169 >>
Cardinal	One hundred [and] sixty-three
Ordinal	163rd
Factorization	prime number
Roman numeral	CLXIII
Binary	10100011
Hexadecimal	A3
Octal	243

In mathematics

163 is a strong prime in the sense that it is greater than the arithmetic mean of its two neighboring primes. 163 is a lucky prime and a Fortunate number.

Given 163, the Mertens function returns 0.

163 figures in an approximation of π, in which $\pi \approx {2^9 \over 163} \approx 3.1411$.

163 figures in an approximation of e, in which $e \approx {163 \over 3\cdot4\cdot5} \approx 2.7166\dots$.

163 is a strictly non-palindromic number.

163 is a Heegner number. That is, the ring of integers of the field $\mathbb{Q}(\sqrt{-a})$ has unique factorization for $a=163$. The only other such integers are $a = 1, 2, 3, 7, 11, 19, 43, 67$.

$\sqrt{163}$

The square root of 163 occurs in several interesting pieces of mathematics.

The function $f(n) = n^2 + n + 41$ gives prime values for all values of $n$ between 0 and 39, and for $n < 10^7$ approximately half of all values are prime. 163 appears as a result of solving $f(n)=0$, which gives $n = (-1+ \sqrt{-163} ) / 2$.

$\sqrt{163}$ appears in the Ramanujan constant, in which $e^{\pi \sqrt{163}}$ almost equals the integer 262537412640768744 = 640320^3 + 744. Martin Gardner famously asserted that this identity was exact in a 1975 April Fools' hoax in Scientific American; in fact the value is 262537412640768743.99999999999925007259...

In astromony

• 163 Erigone is a dark Main belt asteroid, the namesake of the Erigone family of asteroids
• HD 167042 is a 6th magnitude K-type giant star 163 light-years away in the constellation of Draco
• HD 167042 b is a gas giant extrasolar planet 163 light-years away in the constellation of Draco, orbiting HD 167042

In geography

• Cape Lookout Lighthouse is a 163-foot (50 m) high lighthouse on the Southern Outer Banks of North Carolina
• Sierra View District Hospital is a 163-bed, acute care facility in Porterville, California
• The Mall at 163rd Street, North Miami Beach, Florida
• Wheatlands No. 163, Saskatchewan is a rural municipality in Saskatchewan, Canada
• Woonasquatucket River Site (RI-163) historic site in Smithville, Rhode Island
• Cape Verde ranks #163 in world population

In the military

• USNS Parkersburg (T-AO-163) was a United States Navy tanker ship during World War II
• USS Barracuda (SS-163) was a diesel-electric submarine during World War II
• USS Blount (AK-163) was a United States Navy Alamosa class cargo ship during World War II
• USS Cinnabar (IX-163) was a United States Navy Trefoil class concrete barge during World War II
• USS Concise (AM-163) was a United States Navy Admirable-class minesweeper during World War II
• USS Eastland (APA-163) was a United States Navy Haskell-class attack transport during World War II
• USS Livingston (AP-163) was a United States Navy Crater-class cargo ship during World War II
• USS McConnell (DE-163) was a United States Navy Cannon-class destroyer escort during World War II
• USS Utina (ATF-163) was a United States Navy Abnaki class fleet ocean tug following World War II
• USS Vedette (SP-163) was a commercial yacht during World War I
• USS Walker (DD-163) was a United States Navy Wickes class destroyer during World War I
• 163rd Fighter Squadron, a unit of the Indiana Air National Guard, flies the F-16C/D Fighting Falcon

In sports

• Russ Howell at the Long Beach, California World Championship in 1977 performed a world record 163 full rotations in freestyle skateboarding tricks
• Swimming at the 1992 Summer Paralympics included 163 events (88 for men, 75 for women)
• In darts, 163 is the least number that cannot be shot with three darts on a standard dart board
• Nate Colbert hit 163 home runs with the San Diego Padres (1969–1974) (before finishing his career with 173 home runs)
• MLB pitchers Cy Young and Tim Wakefield each hit 163 opposing batters
• MLB players who had 163 triples in a career include:
  • Bill Dahlen
  • George Davis
  • Lou Gehrig
  • Nap Lajoie

In transportation

• Peugeot Type 163 automobile produced from 1919 to 1924
• Messerschmitt Me 163 Komet was a German rocket-powered fighter aircraft. during World War II
• Intervale Avenue –163rd Street subway station, Bronx, New York subway station on the IRT White Plains Road Line of the New York City Subway
• 163rd Street–Amsterdam Avenue station on the IND Eighth Avenue Line of the New York City Subway
• The Bunche Park Metrorail station in Bunche Park, Florida at Northwest 163rd Street and 27th Avenue, set to open in 2014
• Saudi Arabian Airlines Flight 163 caught fire at Riyadh's International Airport en route from Karachi, Pakistan on August 19, 1980
• Iraqi Airways Flight 163, en route from Baghdad's Baghdad International Airport to Amman, Jordan, was hijacked and crashed on December 25, 1986
• List of highways numbered 163

In TV and radio

• Channel 163 on the Dish Network is VH1 Classic
• Channel 163 on XM Satellite Radio is Sirius XM Book Radio

In other fields

163 is also:

• The year AD 163 or 163 BC
• 163 AH is a year in the Islamic calendar that corresponds to 779 – 780 CE
• The atomic number of an element temporarily called Unhextrium
• CD163 (Cluster of Differentiation 163) is a human protein encoded by the CD163 gene
• The Glossen Opus 163 waltz by Johann Strauss II (1855)

See also

• 163 (disambiguation)
• United Nations Security Council Resolution 163
• United States Supreme Court cases, Volume 163

References

• Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (pp. 141–142). London: Penguin Group.

External links

• 163.com website from NetEase
• The coolest number is 163
• Prime curiosities: 163
• 163, the Monster and Number Theory
• The Number 163
• The Positive Integer 163
• VirtueScience: 163
• International Brotherhood of Electrical Workers Local Union 163
• US Highway 163
• Planetmath.Org 163