84 (number)

84 (eighty-four) is the natural number following 83 and preceding 85.

← 83 84 85 →
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Cardinal	eighty-four
Ordinal	84th (eighty-fourth)
Factorization	2^2 × 3 × 7
Divisors	1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greek numeral	ΠΔ´
Roman numeral	LXXXIV
Binary	10101002
Ternary	100103
Octal	1248
Duodecimal	7012
Hexadecimal	5416

In mathematics

A hepteract is a seven-dimensional hypercube with 84 penteract 5-faces

84 is:

• the sum of the first seven triangular numbers (making it a tetrahedral number).[1]
• the sum of a twin prime (41 + 43).
• a semiperfect number, being thrice a perfect number.
• a palindromic number and a repdigit in bases 11 (77₁₁), 13 (66₁₃), 20 (44₂₀), 27 (33₂₇), and 41 (22₄₁).
• the lim sup of the largest finite subgroup of the mapping class group of a genus g surface divided by g.

A hepteract is a seven-dimensional hypercube with 84 penteract 5-faces.

In astronomy

• Messier object M84, a magnitude 11.0 lenticular galaxy in the constellation Virgo
• The New General Catalogue object NGC 84, a single star in the constellation Andromeda

In other fields

dial +84 for Vietnam

Eighty-four is also:

• The year AD 84, 84 BC, or 1984.
• The number of years in the Insular latercus, a cycle used in the past by Celtic peoples,[2] equal to 3 cycles of the Julian Calendar and to 4 Metonic cycles and 1 octaeteris
• The atomic number of polonium
• The model number of Harpoon missile
• WGS 84 - The latest revision of the World Geodetic System, a fixed global reference frame for the Earth.
• The house number of 84 Avenue Foch
• The number of the French department Vaucluse
• The code for international direct dial phone calls to Vietnam
• The town of Eighty Four, Pennsylvania
• The company 84 Lumber
• The ISBN Group Identifier for books published in Spain
• A variation of the game 42 played with two sets of dominoes.
• The film "84 Charing Cross Road" (1987) starring Anne Bancroft and Anthony Hopkins
• KKNX Radio 84 in Eugene, Oregon
• The B-Side to "Up All Night" (Take That song)
• British Army term for the 84mm Carl Gustav recoilless rifle.
• How many Earth years it takes Uranus to orbit the sun once

See also

• List of highways numbered 84

References

1. "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
2. Bede (731). Ecclesiastical History of the English People., 2.2, Latin original. See Easter controversy#Synod of Whitby in 664 and Computus.