54 55 56
Cardinalfifty-five
Ordinal55th
(fifty-fifth)
Factorization5 × 11
Divisors1, 5, 11, 55
Greek numeralΝΕ´
Roman numeralLV
Binary1101112
Ternary20013
Senary1316
Octal678
Duodecimal4712
Hexadecimal3716

55 (fifty-five) is the natural number following 54 and preceding 56.

Mathematics

55 is the fifteenth discrete semiprime,[1] and the second with 5 as the lowest non-unitary factor. Thus, of the form 5 × q with q a higher prime, in this case equal to 11.

It contains an aliquot sum of 17; a prime, within an aliquot sequence of one composite number (55, 17, 1, 0) that is rooted in the prime, 17-aliquot tree. Where 17 is the third Fermat prime, the fifty-fifth prime number (257) is the fourth such prime number.[2] Also, the prime indices in its prime factorization (5 × 11) are the respectively the third and fifth, where the first two Fermat primes are (3, 5).

55 is the tenth Fibonacci number.[3] It is the largest Fibonacci number to also be a triangular number (the tenth as well);[4] it is furthermore the fourth doubly triangular number.[5]

55 is also an early member inside other families of polygonal numbers; it is strictly (when including 0 as the zeroth indexed member) the fifth:

In decimal, 55 is a Kaprekar number,[9] whose digit sum is also 10. It is the first number to be a sum of more than one pair of numbers which mirror each other (23 + 32 and 14 + 41).

Science

Astronomy

Music

Transportation

  • In the United States, the National Maximum Speed Law prohibited speed limits higher than 55 miles per hour (90 km/h) from 1974 to 1987

Film

Years

Other uses

See also

References

  1. Sloane, N. J. A. (ed.). "Sequence A006881 (Squarefree semiprimes: Numbers that are the product of two distinct primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  2. Sloane, N. J. A. (ed.). "Sequence A000215 (Fermat numbers: a(n) equal to 2^(2^n) + 1.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  3. "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. Sloane, N. J. A. (ed.). "Sequence A000217". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-06.
  5. "Sloane's A000217 : Triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. "Sloane's A000566 : Heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  7. "Sloane's A060544 : Centered 9-gonal (also known as nonagonal or enneagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  8. "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  9. "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
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