54 (number)

54 (fifty-four) is the natural number following 53 and preceding 55.

← 53 54 55 →
← 50 51 52 53 54 55 56 57 58 59 → List of numbers Integers ← 10 20 30 40 50 60 70 80 90 →
Cardinal	fifty-four
Ordinal	54th (fifty-fourth)
Factorization	2 × 3^3
Divisors	1, 2, 3, 6, 9, 18, 27, 54
Greek numeral	ΝΔ´
Roman numeral	LIV
Binary	1101102
Ternary	20003
Senary	1306
Octal	668
Duodecimal	4612
Hexadecimal	3616

Look up fifty-four in Wiktionary, the free dictionary.

In mathematics

54 as the sum of three positive squares

• 54 is an abundant number and a semiperfect number, like all other multiples of 6.
• It is twice the third power of three, 3³ + 3³ = 54, and hence is a Leyland number.
• 54 is the smallest number that can be written as the sum of three positive squares in more than two different ways: 7² + 2² + 1² = 6² + 3² + 3² = 5² + 5² + 2² = 54.
• It is a 19-gonal number,
• In base 10, 54 is a Harshad number.
• The Holt graph has 54 edges.
• The sine of an angle of 54 degrees is half the golden ratio.
• The number of primes ≤ 2⁸.
• A Lehmer-Comtet number.
• 54 is the only non-trivial Neon Number in Power 9: 54⁹ = 3,904,305,912,313,344; 3 + 9 + 0 + 4 + 3 + 0 + 5 + 9 + 1 + 2 + 3 + 1 + 3 + 3 + 4 + 4 = 54

In science

• The atomic number of xenon is 54.

Astronomy

• Messier object M54, a magnitude 8.5 globular cluster in the constellation Sagittarius
• The New General Catalogue object NGC 54, a spiral galaxy in the constellation Cetus
• The number of years in three Saros cycles of eclipses of the sun and moon is known as a Triple Saros or exeligmos (Greek: "turn of the wheel").

In sports

• Fewest points in an NBA playoff game: Chicago (96), Utah (54), June 7, 1998
• The New York Rangers won the Stanley Cup in 1994, 54 years after their previous Cup win. It is the longest drought in the trophy's history.
• For years car number 54 was driven by NASCAR's Lennie Pond. More recently, it is known as the Nationwide Series car number for Kyle Busch.
• A score of 54 on a par 72 course in golf is colloquially referred to as a perfect round. This score has never been achieved in competition.
• The number used when a player is defeated 3 games in a row in racquetball.

A Rubik's Cube has 54 colored squares.

Traditional Japanese symbols of the 54 chapters of the Tale of Genji

In other fields

54 is also:

• +54 The code for international direct dial phone calls to Argentina
• A broadcast television channel number
• 54, a 1998 film about Studio 54 starring Ryan Phillippe, Mike Myers, and Salma Hayek
• 54, a novel by the Wu Ming collective of authors
• In the title of a 1960s television show (Car 54, Where Are You?)
• The number of the French department Meurthe-et-Moselle
• New York's Warwick New York Hotel is on West 54th Street
• The number of cards in a deck of playing cards, if two jokers are included
• The number of countries in Africa
• Year identifier used on motor vehicles registered in the UK between 1 September 2004 and 28 February 2005
• Six by nine, the incorrect (Answer to the Ultimate Question of Life, the Universe, and Everything)

See also

• List of highways numbered 54

References

1. "Sloane's A005835 : Pseudoperfect (or semiperfect) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
2. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
3. Sloane, N. J. A. (ed.). "Sequence A025331". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. Sloane, N. J. A. (ed.). "Sequence A025323". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. "Sloane's A051871 : 19-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
6. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
7. Sloane, N. J. A. (ed.). "Sequence A007053 (Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
8. Sloane, N. J. A. (ed.). "Sequence A005727 (n-th derivative of x^x at x=1. Also called Lehmer-Comtet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.