J u m p t o c o n t e n t
M a i n m e n u
M a i n m e n u
N a v i g a t i o n
● M a i n p a g e ● C o n t e n t s ● C u r r e n t e v e n t s ● R a n d o m a r t i c l e ● A b o u t W i k i p e d i a ● C o n t a c t u s ● D o n a t e
C o n t r i b u t e
● H e l p ● L e a r n t o e d i t ● C o m m u n i t y p o r t a l ● R e c e n t c h a n g e s ● U p l o a d f i l e
S e a r c h
Search
A p p e a r a n c e
● C r e a t e a c c o u n t ● L o g i n
P e r s o n a l t o o l s
● C r e a t e a c c o u n t ● L o g i n
P a g e s f o r l o g g e d o u t e d i t o r s l e a r n m o r e ● C o n t r i b u t i o n s ● T a l k
( T o p )
1 I n m a t h e m a t i c s
2 I n a s t r o n o m y
3 I n o t h e r f i e l d s
4 S e e a l s o
5 R e f e r e n c e s
T o g g l e t h e t a b l e o f c o n t e n t s
8 4 ( n u m b e r )
7 2 l a n g u a g e s
● А ԥ с ш ә а ● ا ل ع ر ب ي ة ● A z ə r b a y c a n c a ● ت ۆ ر ک ج ه ● 閩 南 語 / B â n - l â m - g ú ● Б е л а р у с к а я ● Б ъ л г а р с к и ● བ ོ ད ་ ཡ ི ག ● C a t a l à ● Ч ӑ в а ш л а ● Č e š t i n a ● D a n s k ● Ε λ λ η ν ι κ ά ● E m i l i à n e r u m a g n ò l ● E s p a ñ o l ● E s p e r a n t o ● E u s k a r a ● ف ا ر س ی ● F r a n ç a i s ● G a e i l g e ● 贛 語 ● 한 국 어 ● H a u s a ● Հ ա յ ե ր ե ն ● B a h a s a I n d o n e s i a ● I n t e r l i n g u a ● I t a l i a n o ● ქ ა რ თ უ ლ ი ● K i s w a h i l i ● K r e y ò l a y i s y e n ● Л а к к у ● L a t v i e š u ● M a g y a r ● म ै थ ि ल ी ● М а к е д о н с к и ● म र ा ठ ी ● م ا ز ِ ر و ن ی ● B a h a s a M e l a y u ● ꯃ ꯤ ꯇ ꯩ ꯂ ꯣ ꯟ ● 閩 東 語 / M ì n g - d ĕ ̤ n g - n g ṳ ̄ ● N a V o s a V a k a v i t i ● N e d e r l a n d s ● 日 本 語 ● N a p u l i t a n o ● N o r s k b o k m å l ● O ʻ z b e k c h a / ў з б е к ч а ● پ ن ج ا ب ی ● پ ښ ت و ● P o l s k i ● P o r t u g u ê s ● R o m â n ă ● Р у с с к и й ● S e s o t h o s a L e b o a ● S i m p l e E n g l i s h ● S l o v e n š č i n a ● S o o m a a l i g a ● ک و ر د ی ● S r a n a n t o n g o ● С р п с к и / s r p s k i ● S u o m i ● S v e n s k a ● Т а т а р ч а / t a t a r ç a ● ไ ท ย ● T ü r k ç e ● У к р а ї н с ь к а ● ا ر د و ● V a h c u e n g h ● T i ế n g V i ệ t ● W i n a r a y ● 吴 语 ● 粵 語 ● 中 文
E d i t l i n k s
● A r t i c l e ● T a l k
E n g l i s h
● R e a d ● E d i t ● V i e w h i s t o r y
T o o l s
T o o l s
A c t i o n s
● R e a d ● E d i t ● V i e w h i s t o r y
G e n e r a l
● W h a t l i n k s h e r e ● R e l a t e d c h a n g e s ● U p l o a d f i l e ● S p e c i a l p a g e s ● P e r m a n e n t l i n k ● P a g e i n f o r m a t i o n ● C i t e t h i s p a g e ● G e t s h o r t e n e d U R L ● D o w n l o a d Q R c o d e ● W i k i d a t a i t e m
P r i n t / e x p o r t
● D o w n l o a d a s P D F ● P r i n t a b l e v e r s i o n
I n o t h e r p r o j e c t s
● W i k i m e d i a C o m m o n s
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
Cardinal eighty-four Ordinal 84th Factorization 2 2 Divisors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Greek numeral ΠΔ´ Roman numeral LXXXIV Binary 10101002 Ternary 100103 Senary 2206 Octal 1248 Duodecimal 70 12 Hexadecimal 54 16
84 eighty-four ) is the natural number following 83 85 dozens .
In mathematics [ edit ]
A hepteract is a seven-dimensional hypercube with 84 penteract 5-faces.
84 semiperfect number ,[1] twin primes
(
41 +
43 )
{\displaystyle (41+43)}
[2] perfect powers in decimal .[3]
It is the third (or second) dodecahedral number ,[4] triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number .[5]
The twenty-second unique prime in decimal , with notably different digits than its preceding (and known following) terms in the same sequence , contains a total of 84 digits.[6]
A hepteract is a seven-dimensional hypercube with 84 penteract 5-faces.[7]
84 is the limit superior of the largest finite subgroup of the mapping class group of a genus
g
{\displaystyle g}
g
{\displaystyle g}
[citation needed
Under Hurwitz's automorphisms theorem , a smooth connected Riemann surface
X
{\displaystyle X}
of genus
g >
1
{\displaystyle g>1}
automorphism group
A u t
(
X )
=
G
{\displaystyle \mathrm {Aut} (X )=G}
order is classically bound to
|
G
|
≤
84
(
g −
1 )
{\displaystyle |G|\leq 84{\text{ }}(g-1)}
[8]
84 is the thirtieth and largest
n
{\displaystyle n}
cyclotomic field
Q
(
ζ
n
)
{\displaystyle \mathrm {Q} (\zeta _{n})}
1
{\displaystyle 1}
factorization ), preceding 60 composite index of 84),[9] 48 [10] [11]
There are 84 zero divisors in the 16-dimensional sedenions
S
{\displaystyle \mathbb {S} }
[12]
In astronomy [ edit ]
In other fields [ edit ]
dial +84 for Vietnam
Eighty-four is also:
See also [ edit ]
References [ edit ]
^ Sloane, N. J. A. (ed.). "Sequence A075308 (Number of n-digit perfect powers)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A006566 (Dodecahedral numbers)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral (or triangular pyramidal) numbers: a(n ) = C(n+2,3) = n*(n+1)*(n+2)/6)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A040017 (Prime 3 followed by unique period primes (the period r of 1/p is not shared with any other prime))" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-06-08 .
^ Sloane, N. J. A. (ed.). "Sequence A046092 (4 times triangular numbers: a(n ) = 2*n*(n+1))" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Giulietti, Massimo; Korchmaros, Gabor (2019). "Algebraic curves with many automorphisms" . Advances in Mathematics 349 (9 ). Amsterdam, NL: Elsevier : 162–211. arXiv :1702.08812 doi :10.1016/J.AIM.2019.04.003 . MR 3938850 . S2CID 119269948 . Zbl 1419.14040 .
^ Sloane, N. J. A. (ed.). "Sequence A002808 (The composite numbers)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Washington, Lawrence C. (1997). Introduction to Cyclotomic Fields . Graduate Texts in Mathematics. Vol. 83 (2nd ed.). Springer-Verlag . pp. 205–206 (Theorem 11.1). ISBN 0-387-94762-0 MR 1421575 . OCLC 34514301 . Zbl 0966.11047 .
^ Sloane, N. J. A. (ed.). "Sequence A005848 (Cyclotomic fields with class number 1 (or with unique factorization))" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Cawagas, Raoul E. (2004). "On the Structure and Zero Divisors of the Cayley-Dickson Sedenion Algebra" . Discussiones Mathematicae – General Algebra and Applications . 24 2 ). PL: University of Zielona Góra : 262–264. doi :10.7151/DMGAA.1088 . MR 2151717 . S2CID 14752211 . Zbl 1102.17001 .
^ Venerabilis, Beda (May 13, 2020) [731 AD]. "Historia Ecclesiastica gentis Anglorum/Liber Secundus" [The Ecclesiastical History of the English Nation/Second Book]. Wikisource (in Latin). Retrieved September 29, 2022 .
t
e
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=84_(number)&oldid=1232342152 " C a t e g o r y : ● I n t e g e r s H i d d e n c a t e g o r i e s : ● C S 1 L a t i n - l a n g u a g e s o u r c e s ( la ) ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n m a t c h e s W i k i d a t a ● A l l a r t i c l e s w i t h u n s o u r c e d s t a t e m e n t s ● A r t i c l e s w i t h u n s o u r c e d s t a t e m e n t s f r o m J u n e 2 0 2 3 ● A r t i c l e s c o n t a i n i n g L a t i n - l a n g u a g e t e x t
● T h i s p a g e w a s l a s t e d i t e d o n 3 J u l y 2 0 2 4 , a t 0 7 : 3 2 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
