From Wikipedia, the free encyclopedia
← 53 54 55 →
Cardinalfifty-four
Ordinal54th
(fifty-fourth)
Factorization2 × 33
Divisors1, 2, 3, 6, 9, 18, 27, 54
Greek numeralΝΔ´
Roman numeralLIV
Binary1101102
Ternary20003
Senary1306
Octal668
Duodecimal4612
Hexadecimal3616

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

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. [1]
  • It is twice the third power of three, 33 + 33 = 54, and hence is a Leyland number. [2]
  • 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. [3] [4]
  • It is a 19- gonal number, [5]
  • In base 10, 54 is a Harshad number. [6]
  • The Holt graph has 54 edges.
  • The sine of an angle of 54 degrees is half the golden ratio.
  • The number of primes ≤ 28. [7]
  • A Lehmer-Comtet number. [8]
  • 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

Astronomy

In sports

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:

See also

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.