125 (number)

← 124 125 126 →
← 120 121 122 123 124 125 126 127 128 129 → List of numbers; Integers; ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred twenty-five
Ordinal	125th; (one hundred twenty-fifth)
Factorization	53
Divisors	1, 5, 25, 125
Greek numeral	ΡΚΕ´
Roman numeral	CXXV
Binary	11111012
Ternary	111223
Senary	3256
Octal	1758
Duodecimal	A512
Hexadecimal	7D16

125 (one hundred [and] twenty-five) is the natural number following 124 and preceding 126.

In mathematics

125 is the cube of 5. It can be expressed as a sum of two squares in two different ways, 125 = 10² + 5² = 11² + 2².^[1]

125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

Like many other powers of 5, it is a Friedman number in base 10 since 125 = 5^{1 + 2}.

125 is the center of a close triplet of perfect powers, (121 = 11², 125 = 5³, 128 = 2⁷). Excluding the trivial cases of 0 and 1, the only closer such triplet is (4,8,9) and the only other equally close is (25, 27, 32).^[2]

U.S. military

Air National Guard 125th Special Tactics Squadron unit in Portland, Oregon
US Air Force 125th Fighter Wing, Air National Guard unit at Jacksonville International Airport, Florida
US Navy VAW-125 squadron at Naval Station Norfolk, Virginia
US Navy VFA-125 strike fighter squadron at Naval Air Station Lemoore, California
USNS Mission San Jose (T-AO-125), a US Navy fleet oiler during World War II
USS Tide (AM-125), a US Navy minesweeper
Northrop YC-125 Raider utility transport plane

In transportation

The Fiat 125 automobile
Many motorcycle licenses and racing events limit engine capacity to 125cc. Examples of 125cc motorcycles include;
- The Honda XRM 125 motorcycle
- The Yamaha YZ125, for motocross
The Harlem-125th Street (Metro-North) station serving Harlem, New York City
The InterCity 125, sometimes referred to simply as "one two five", a British high-speed train
New Jersey Transit bus route 125
London Buses route 125 is a Transport for London contracted bus route in London
125 is the number of many roads, including Mexican Federal Highway 125
Pan Am Flight 125 from London’s Heathrow Airport to New York's John F. Kennedy International Airport which had pressurization problems on March 10, 1987
The 125th Street Bridge crosses the Mississippi River in Minnesota
STS-125, a Space Shuttle Atlantis mission, the final mission to service the Hubble Space Telescope, launched May 11, 2009 at 2:01 pm EDT landed May 24, 2009 at 11:39:05 am EDT
125 (dinghy) - a class of sailing dingy popular in Australia.
EMD F125 locomotive manufactured by Electro Motive Diesel.

In other fields

125 is also:

The year AD 125 or 125 BC
125 AH is a year in the Islamic calendar that corresponds to 742 – 743 CE
125 Liberatrix is a Main belt asteroid
The atomic number of the yet-to-be-discovered element unbipentium
Sonnet 125 by William Shakespeare
125th Street, Manhattan, New York City
- 125th Street (New York City Subway), multiple subway stations
CA-125, also known as CA125, is an abbreviation for cancer antigen 125
125 High Street is a 30-floor high-rise in Boston
The highest number of analog cable-ready channels an American television set receives.

References

^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136
^ Noe, Anthony. "Solutions to Pillai's equation for n <= 100". Retrieved 5 September 2022.

[1] Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136

[2] Noe, Anthony. "Solutions to Pillai's equation for n <= 100". Retrieved 5 September 2022.

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