173 (number): Difference between revisions
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*the sum of three consecutive [[prime number]]s: [[53 (number)|53]] + [[59 (number)|59]] + [[61 (number)|61]]. |
*the sum of three consecutive [[prime number]]s: [[53 (number)|53]] + [[59 (number)|59]] + [[61 (number)|61]]. |
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*[[palindromic numbers|Palindromic number]] in bases 3 (20102<sub>3</sub>) and 9 (212<sub>9</sub>). |
*[[palindromic numbers|Palindromic number]] in bases 3 (20102<sub>3</sub>) and 9 (212<sub>9</sub>). |
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* 173 is the smallest prime number which is not an anti-prime which has Harmonic Mean of Anti-Factors = an Integer. |
* 173 is the smallest prime number which is not an anti-prime which has Harmonic Mean of Anti-Factors = an Integer. So, it is a Really Anti-Factor Harmonic Number. Other such numbers include 3, 4, 6, 9, 36, 96, 576, 161880, 276024, 289560, 393216, etc. |
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173 has Anti-Factors = 2, 3, 5, 15, 23, 69, 115 |
173 has Anti-Factors = 2, 3, 5, 15, 23, 69, 115 |
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Sum of Reciprocals of Anti-Factors of 173 = (1/2) + (1/3) + (1/5) + (1/15) + (1/23) + (1/69) + (1/115) = (345 + 230 + 138 + 46 + 30 + 10 + 6)/690 = 805/690 = 7/6 |
Sum of Reciprocals of Anti-Factors of 173 = (1/2) + (1/3) + (1/5) + (1/15) + (1/23) + (1/69) + (1/115) = (345 + 230 + 138 + 46 + 30 + 10 + 6)/690 = 805/690 = 7/6 |
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Harmonic Mean of Anti-Factors of 173 = 7/(7/6) = (7 * 6)/7 = 6 |
Harmonic Mean of Anti-Factors of 173 = 7/(7/6) = (7 * 6)/7 = 6, an Integer |
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==In astronomy== |
==In astronomy== |
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Revision as of 12:08, 6 September 2023
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|---|---|---|---|---|
| Cardinal | one hundred seventy-three | |||
| Ordinal | 173rd (one hundred seventy-third) | |||
| Factorization | prime | |||
| Prime | 40th | |||
| Divisors | 1, 173 | |||
| Greek numeral | ||||
| Roman numeral | CLXXIII | |||
| Binary | 101011012 | |||
| Ternary | 201023 | |||
| Senary | 4456 | |||
| Octal | 2558 | |||
| Duodecimal | 12512 | |||
| Hexadecimal | AD16 | |||
173 (one hundred [and] seventy-three) is the natural number following 172 and preceding 174.
In mathematics
173 is:
- an odd number.
- a deficient number.
- an odious number.
- a balanced prime.[1]
- an Eisenstein prime with no imaginary part.
- a Sophie Germain prime.[2]
- an inconsummate number.[3]
- the sum of 2 squares: 22 + 132.
- the sum of three consecutive prime numbers: 53 + 59 + 61.
- Palindromic number in bases 3 (201023) and 9 (2129).
- 173 is the smallest prime number which is not an anti-prime which has Harmonic Mean of Anti-Factors = an Integer. So, it is a Really Anti-Factor Harmonic Number. Other such numbers include 3, 4, 6, 9, 36, 96, 576, 161880, 276024, 289560, 393216, etc.
173 has Anti-Factors = 2, 3, 5, 15, 23, 69, 115
Number of Anti-Factors of 173 = 7
Sum of Reciprocals of Anti-Factors of 173 = (1/2) + (1/3) + (1/5) + (1/15) + (1/23) + (1/69) + (1/115) = (345 + 230 + 138 + 46 + 30 + 10 + 6)/690 = 805/690 = 7/6
Harmonic Mean of Anti-Factors of 173 = 7/(7/6) = (7 * 6)/7 = 6, an Integer
In astronomy
- 173 Ino is a large dark main belt asteroid
- 173P/Mueller is a periodic comet in the Solar System
- Arp 173 (VV 296, KPG 439) is a pair of galaxies in the constellation Boötes
In the military
- 173rd Air Refueling Squadron unit of the Nebraska Air National Guard
- 173rd Airborne Brigade Combat Team of the United States Army based in Vicenza
- 173rd Battalion unit of the Canadian Expeditionary Force during the World War I
- 173rd Surveillance Squadron (Australia) of the Australian Army at Oakey, Queensland
- K-173 Chelyabinsk Russian Oscar-class submarine
- USNS Provo (T-AG-173) was a U.S. Navy Phoenix-class auxiliary ship following World War II
- USS Codington (AK-173) was a U.S. Navy Alamosa-class cargo ship during World War II
- USS Eldridge (DE-173) was a U.S. Navy Cannon-class destroyer escort during World War II
- USS Etamin (IX-173) was a U.S. Navy Crater-class cargo ship during World War II
- USS Florence (SP-173) was a U.S. Navy yacht during World War I
- USS Hyde (APA-173) was a U.S. Navy Haskell-class attack transport ship during World War II
- USS PC-472 was a 173-foot (53 m) U.S. Navy submarine chaser during World War II
- USS Pike (SS-173) was a U.S. Navy Porpoise-class submarine during World War II
- USS Sproston (DD-173) was a U.S. Navy Wickes-class destroyer following World War II
- Vought V-173 (Flying Pancake) was a U.S. Navy experimental test aircraft during World War II
In transportation
- The Georgia Railroad, the world longest railroad in 1845, ran for 173 miles (278 km) from Augusta to Marthasville (Atlanta, Georgia)
- United Airlines Flight 173 en route from Denver to Portland crashed on December 28, 1978
- The Velocity 173 was a kit aircraft produced by Velocity Aircraft in the early 1990s.
In popular culture
- The book 173 Hours in Captivity (2000)
- SCP-173, a fictional statue
In other fields
173 is also:
- The year AD 173 or 173 BC
- 173 AH is a year in the Islamic calendar that corresponds to 789 – 790 CE
- The atomic number of an element temporarily called unsepttrium
- Topic of discussion during the podcast "Skeptics with a K" episode 180 [4]
See also
- List of highways numbered 173
- United Nations Security Council Resolution 173
- United States Supreme Court cases, Volume 173
External links
Wikimedia Commons has media related to 173 (number).
References
- ^ "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ^ "Sloane's A003635 : Inconsummate numbers in base 10". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ^ Michael Marshall (August 25, 2016). "Skeptics with a K: Episode #180". www.merseysideskeptics.org.uk/podcasts/ (Podcast). Merseyside Skeptics Society. Event occurs at 0:59:15-1:01:30. Retrieved 15 November 2016.