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104 (number)

← 103 104 105 →
Cardinalone hundred four
Ordinal104th
(one hundred fourth)
Factorization23 × 13
Divisors1, 2, 4, 8, 13, 26, 52, 104
Greek numeralΡΔ´
Roman numeralCIV, civ
Binary11010002
Ternary102123
Senary2526
Octal1508
Duodecimal8812
Hexadecimal6816

104 (one hundred [and] four) is the natural number following 103 and preceding 105.

In mathematics

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]

References

  1. ^ 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.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A006036 (Primitive pseudoperfect numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. ^ 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.
  4. ^ 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.
  5. ^ 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.


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