On the Number
54 54 in Mathematics
1) The 27th even number = 54
2) The 10th abundant number = 54
3) The 37th composite number = 54
4) The 24th Harshad number = 54
5) The 3rd 19-gonal number = 54 [Formula: 1/2n(17n-15)]
6) Product of the 1st prime and 3rd cube numbers = 2 x 33 = 2 x 27 = 54
7) Product of 2nd odd & 9th even numbers = 3 x 18 = 54
8) Product of 2nd & 4th composite numbers = 6 x 9 = 54
9) Sum of the 2nd through 10th numbers = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 54
10) Difference of the 10th and 1st triangular numbers = 55 - 1 = 54
11) Sum of the first 8 Fibonacci numbers = 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 = 54
(Leonardo Pisano Fibonacci, 1170-1250)
12) Sum of the 1st, 2nd, and 7th square numbers = 12 + 22 + 72 = 1 + 4 + 49 = 54
13) Sum of the 2nd, 3rd, and 9th triangular numbers = 3 + 6 + 45 = 54
14) Sum of the 4th and 15th prime numbers = 7 + 47 = 54
15) Sum of the 5th and 14th prime numbers = 11 + 43 = 54
16) Sum of the 6th and 13th prime numbers = 13 + 41 = 54
17) Sum of the 7th and 12th prime numbers = 17 + 37 = 54
18) Sum of the 9th & 11th prime numbers = 23 + 31 = 54
Sum of the 12th & 16th odd numbers = 23 + 31 = 54
19) Sum of the 7th and 10th lucky numbers = 21 + 33 = 54
20) Sum of the 2nd and 14th lucky numbers = 3 + 51 = 54
21) Sum of the 1st and 8th abundant numbers = 12 + 42 = 54
Sum of the 2nd and 6th abundant numbers = 18 + 36 = 54
Sum of the 4th and 5th abundant numbers = 24 + 30 = 54
22) Sum of the 11th & 17th odd numbers = 21 + 33 = 54
Sum of the 12th and 21st composite numbers = 21 + 33 = 54
23) Sum of the 11th & 16th even numbers = 22 + 32 = 54
Sum of the 13th and 20th composite numbers = 22 + 32 = 54
24) Sum of the 12th & 15th even numbers = 24 + 30 = 54
Sum of the 14th and 19th composite numbers = 24 + 30 = 54
25) Difference of the 50th and 23rd even numbers = 100 - 46 = 54
26) Difference of the 30th even number and 1st perfect numbers = 60 - 6 = 54
27) Square root of 54 = 7.348469228
28) Cube root of 54 = 3.77976315
29) ln 54 = 3.988984047 (natural log to the base e)
30) log 54 = 1.73239376 (logarithm to the base 10)
31) Sin 54o = 0.809016994
Cos 54o = 0.587785252
Tan 54o = 1.376381921
32) 1/54 expressed as a decimal = 0.018518518
33) Septendecillion = 1054 = 1 followed by 54 zeros
In the British system, nonillion = 1054
34) There are 54 digits in the 10th perfect number (First 15 perfect numbers)
(191561942608236107294793378084303638130997321548169216)
35) The 191st & 192nd digits of pi, π = 54
36) The 57th & 58th digits of phi, φ = 54
37) The 76th & 77th digits of e = 54
e = 2.7182818284 5904523536 0287471352 6624977572 4709369995
9574966967 6277240766 3035354759 4571382178 5251664274
2746639193 2003059921 8174135966 2904357290 0334295260
5956307381 3232862794 3490763233 8298807531 9525101901
(Note: The 99th-108th digits of e = 7427466391 is the first 10-digit prime in
consecutive digits of e. This is the answer to the Google Billboard question
that may lead to a job opportunity at Google.com, San Jose Mercury News, 7-10-2004)
38) Binary number for 54 = 110110
(Decimal & Binary Equivalence; Program for conversion)
39) ASCII value for 54 = 6
(Hexadecimal # & ASCII Code Chart)
40) Hexadecimal number for 54 = 36
(Hexadecimal # & ASCII Code Chart)
41) Octal number for 54 = 066
(Octal #, Hexadecimal #, & ASCII Code Chart)
42) The Greek-based numeric prefix tetrapentaconta- means 54.
43) The Latin-based numeric prefix quattuorquinquaginta- means 54.
44) The noun and adjective quattuorquinquagintennary means a group of 54 or a period of 54 years.
45) The noun & adjective quattuorquinquagintennial means lasting 54 years or 54 year anniversary.
46) The noun and adjective quattuorquinquagintennium means a period of 54 years.
47) LIV is the Roman numeral for 54.
48) Wu Shí Sì is the Chinese ideograph for 54.
49) is the Babylonian number for 54.
Georges Ifrah, From One to Zero: A Universal History of Numbers,
Penguin Books, New York (1987), p. 326
50) The Hebrew letters Nun (50) meaning fish and Dalet (4)
meaning door add up to the numerical value of 54.
(Hebrew Alphabet, Hebrew Gematria)
51) 54 in different languages:
Dutch: vijftig-vier, French: cinquante-quatre, German: fünfzig-vier, Hungarian: ötven-négy,
Italian: cinquanta-quattro, Spanish: cincuenta-cuatro, Swahili: hamsini-nne, Swedish: femtio-fyra
54 in Science
52) Number of facelets in a Rubik's Cube = 6 x 9 = 54
53) Atomic Number of Xenon (Xe) = 54 (54 protons & 54 electrons)
Xenon is a "noble" or "inert" gas present in the atmosphere (less than 1 ppm by volume).
Xenon is present in the Martian atmosphere to the extent of about 0.08 ppm.
54) Inorganic & organic compounds whose molecular weight = 54:
Fluorine oxide F2O = 54.00
Sodium methylate NaOCH3 = 54.03
55) Compounds whose melting point = 54oC:
Acetyl ethyloxamate, CH3CO)NHC2-O2-OC2H5O, MP = 54oC
Carbon tellurosulfide, CSTe, MP = 54oC
Chloroacetophenone, C6H5COCH2Cl, MP = 54oC
Dimethyl oxalate, (NCO2-CH3)2, MP = 54oC
Formyl hydrazine, H2N-NH-CHO, MP = 54oC
Furyl-acrolein, C4H3OCH=CH-CHO, MP = 54oC
Glycerol mono-nitrate (β), (CH2OH)2CH2ONO2, MP = 54oC
Methyl carbamate, NH2-CO2-CH3O, MP = 54.2oC
Sulfuric oxychloride, SO2Cl2O, MP = 54.1oC
Tolyl benzoate (m), C6H5CO2-C6H5CH3, MP = 54-55oC
[Norbert A. Lange, Handbook of Chemistry, Sandusky, Ohio (1952)]
56) Rhombidodecadodecahedron: Faces = 54, Edges = 120, Vertices = 60
57) Truncated dodecadodecahedron: Faces = 54, Edges = 180, Vertices = 120
58) Dodecadodecahedron: Faces = 24, Edges = 60, Vertices = 30. Sum of faces & vertices = 24 + 30 = 54
59) Small stellated dodecahedron: Faces = 12, Edges = 30, Vertices = 12. Sum of these = 12 + 30 + 12 = 54
60) Great dodecahedron: Faces = 12, Edges = 30, Vertices = 12. Sum of these = 12 + 30 + 12 = 54
61) Sum of edges in three Platonic Solids:
Cube, Octahedron, Dodecahedron = 12 + 12 + 30 = 54
Cube, Octahedron, Icosahedron = 12 + 12 + 30 = 54
62) The 54th amino acid in the 141-residue alpha-chain of Human Hemoglobin is Glutamine (Q)
The 54th amino acid in the 146-residue beta-chain of Human Hemoglobin is Valine (V)
Single-Letter Amino Acid Code
Alpha-chain sequence of human hemoglobin:
VLSPADKTNVKAAWGKVGAHAGEYGAEALERMFLSFPTTKTYFPHFDLSH
GSAQVKGHGKKVADALTNAVAHVDDMPNALSALSDLHAHKLRVDPVNFKL
LSHCLLVTLAAHLPAEFTPAVHASLDKFLASVSTVLTSKYR
Beta-chain sequence of human hemoglobin:
VHLTPEEKSAVTALWGKVNVDEVGGEALGRLLVVYPWTQRFFESFGDLST
PDAVMGNPKVKAHGKKVLGAFSDGLAHLDNLKGTFATLSELHCDKLHVDP
ENFRLLGNVLVCVLAHHFGKEFTPPVQAAYQKVVAGVANALAHKYH
63) The 54th amino acid in the 153-residue sequence of sperm whale myoglobin
is Glutamic Acid (E). It is next to Alanine-53 & Methionine-55.
[A.B. Edmundson, Nature 205, 883-887 (1965)]
64) The 54th amino acid in the 124-residue enzyme Bovine Ribonuclease
is Valine (V). It is next to Aspartic Acid-53 and Glutamine-55
[C. H. W. Hirs, S. Moore, and W. H. Stein, J. Biol. Chem. 235, 633 (1960)]
65) Influenza A virus M2 protein is an integral membrane protein of 97 amino acids that is expressed
at the surface of infected cells with an extracellular N-terminal domain of 18 to 23
amino acid residues, an internal hydrophobic domain of approximately 19 residues,
and a C-terminal cytoplasmic domain of 54 residues.
[S.L. Zebedee & R.A. Lamb, J. Virology, 62, 2762-72 (1988)]
66) Nucleic-acid binding protein (Genome Dictyostelium discoideum) has 54 residues.
It has a molecular weight = 6375.29 with Aspartic Acid (D) as the 54th residue.
[The Encyclopedia of Life Project]
67) β-sheet Conformational Parameters in 29 proteins:
Aspartic Acid (Asp): Pβ = 0.54
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