104 (number)
Appearance
(Redirected from Number 104)
| ||||
---|---|---|---|---|
Cardinal | one hundred four | |||
Ordinal | 104th (one hundred fourth) | |||
Factorization | 23 × 13 | |||
Divisors | 1, 2, 4, 8, 13, 26, 52, 104 | |||
Greek numeral | ΡΔ´ | |||
Roman numeral | CIV | |||
Binary | 11010002 | |||
Ternary | 102123 | |||
Senary | 2526 | |||
Octal | 1508 | |||
Duodecimal | 8812 | |||
Hexadecimal | 6816 |
104 (one hundred [and] four) is the natural number following 103 and preceding 105.
In mathematics
[edit]104 is a refactorable number[1] and a primitive semiperfect number.[2]
The smallest known 4-regular matchstick graph has 104 edges and 52 vertices, where four unit line segments intersect at every vertex.[3]
The second largest sporadic group has a McKay–Thompson series, representative of a principal modular function is , with constant term :[4]
The Tits group , which is the only finite simple group to classify as either a non-strict group of Lie type or sporadic group, holds a minimal faithful complex representation in 104 dimensions.[5]
In other fields
[edit]104 is also:
- The atomic number of rutherfordium.
- The number of Corinthian columns in the Temple of Olympian Zeus, the largest temple ever built in Greece.
- The number of Symphonies written by Joseph Haydn upon which numbers are agreed (though in fact, he wrote two more: see list of symphonies by Joseph Haydn).
See also
[edit]- List of highways numbered 104
- The years 104 BC and AD 104.
References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers: number of divisors of k divides k. Also known as tau numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-07-31.
- ^ Sloane, N. J. A. (ed.). "Sequence A006036 (Primitive pseudoperfect numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- ^ Winkler, Mike; Dinkelacker, Peter; Vogel, Stefan (2017). "New minimal (4; n)-regular matchstick graphs". Geombinatorics Quarterly. XXVII (1). Colorado Springs, CO: University of Colorado, Colorado Springs: 26–44. arXiv:1604.07134. S2CID 119161796. Zbl 1373.05125.
- ^ Sloane, N. J. A. (ed.). "Sequence A007267 (Expansion of 16 * (1 + k^2)^4 /(k * k'^2)^2 in powers of q where k is the Jacobian elliptic modulus, k' the complementary modulus and q is the nome.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-07-31.
- ^ Lubeck, Frank (2001). "Smallest degrees of representations of exceptional groups of Lie type". Communications in Algebra. 29 (5). Philadelphia, PA: Taylor & Francis: 2151. doi:10.1081/AGB-100002175. MR 1837968. S2CID 122060727. Zbl 1004.20003.
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 133