4104

From HandWiki

4104 (four thousand one hundred [and] four) is the natural number following 4103 and preceding 4105.

In mathematics

4104 is a composite number, as it has the prime factorization 23 × 33 × 19.

4104 can be expressed as the sum of two positive cubes in two different ways: 4104 is the sum of 4096 + 8 (that is, 163 + 23), and also the sum of 3375 + 729 (that is, 153 + 93).[1][2] By the former property, it is also the sum of two powers of 8: 84 + 81.[3]

There are 4104 different Cayley graphs on 26 nodes,[4][5] and 4104 ways of 4-coloring a map in which there is a central circle surrounded by a ring divided into 10 regions.[6]

See also

References

  1. ↑ Mitesh J., Mitesh; Ghodasara, G. V. (2023). "Cube Sum Labeling (Taxi-Cab Labeling) of Graphs". International Journal of Mathematical Combinatorics 2: 78-86. https://www.mathcombin.com/upload/file/20230708/1688786361801023148.pdf. Retrieved 2026-09-16. 
  2. ↑ Sloane, N. J. A., ed. "Sequence A001235 (Taxi-cab numbers: sums of 2 cubes in more than 1 way)". OEIS Foundation. https://oeis.org/A001235. 
  3. ↑ Sloane, N. J. A., ed. "Sequence A055259 (Sums of two powers of 8)". OEIS Foundation. https://oeis.org/A055259. 
  4. ↑ Sloane, N. J. A., ed. "Sequence A185959 (Number of Cayley graphs on n nodes)". OEIS Foundation. https://oeis.org/A185959. 
  5. ↑ McKay, Brendan D.; Praeger, Cheryl E. (February 1994). "Vertex-transitive graphs which are not Cayley graphs, I" (in en). Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 56 (1): 53–63. doi:10.1017/S144678870003473X. ISSN 0263-6115. https://www.cambridge.org/core/product/identifier/S144678870003473X/type/journal_article. 
  6. ↑ Sloane, N. J. A., ed. "Sequence A090860 (Number of ways of 4-coloring a map in which there is a central circle surrounded by an annulus divided into n-1 regions. There are n regions in all)". OEIS Foundation. https://oeis.org/A090860. 




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