4104
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|---|---|---|---|---|
| Cardinal | four thousand one hundred four | |||
| Ordinal | 4104th (four thousand one hundred fourth) | |||
| Factorization | 23 × 33 × 19 | |||
| Divisors | 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104 | |||
| Greek numeral | ,ΔΡΔ´ | |||
| Roman numeral | MVCIV, or IVCIV | |||
| Binary | 10000000010002 | |||
| Ternary | 121220003 | |||
| Senary | 310006 | |||
| Octal | 100108 | |||
| Duodecimal | 246012 | |||
| Hexadecimal | 100816 | |||
4104 (four thousand one hundred [and] four) is the natural number following 4103 and preceding 4105.
In mathematics
[edit]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
[edit]References
[edit]- ↑ Mitesh J., Mitesh; Ghodasara, G. V. (2023). "Cube Sum Labeling (Taxi-Cab Labeling) of Graphs" (PDF). International Journal of Mathematical Combinatorics. 2: 78–86. Retrieved 2026-09-16.
- ↑ Sloane, N. J. A. (ed.). "Sequence A001235 (Taxi-cab numbers: sums of 2 cubes in more than 1 way)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A055259 (Sums of two powers of 8)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A185959 (Number of Cayley graphs on n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ McKay, Brendan D.; Praeger, Cheryl E. (February 1994). "Vertex-transitive graphs which are not Cayley graphs, I". Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 56 (1): 53–63. doi:10.1017/S144678870003473X. ISSN 0263-6115.
- ↑ 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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
External links
[edit]- The number 4104 in Wolfram Alpha
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