238 (number)
From HandWiki
238 (two hundred [and] thirty-eight) is the natural number following 237 and preceding 239.
In mathematics
Short description: Natural number
| ||||
|---|---|---|---|---|
| Cardinal | two hundred thirty-eight | |||
| Ordinal | 238th (two hundred thirty-eighth) | |||
| Factorization | 2 × 7 × 17 | |||
| Prime | no | |||
| Greek numeral | ΣΛΗ´ | |||
| Roman numeral | CCXXXVIII | |||
| Binary | 111011102 | |||
| Ternary | 222113 | |||
| Quaternary | 32324 | |||
| Quinary | 14235 | |||
| Senary | 10346 | |||
| Octal | 3568 | |||
| Duodecimal | 17A12 | |||
| Hexadecimal | EE16 | |||
| Vigesimal | BI20 | |||
| Base 36 | 6M36 | |||
238 is an untouchable number.[1] There are 238 2-vertex-connected graphs on five labeled vertices,[2] and 238 order-5 polydiamonds (polyiamonds that can partitioned into 5 diamonds).[3] Out of the 720 permutations of six elements, exactly 238 of them have a unique longest increasing subsequence.[4]
There are 238 compact and paracompact hyperbolic groups of ranks 3 through 10.[5]
References
- ↑ Sloane, N. J. A., ed. "Sequence A005114 (Untouchable numbers: impossible values for sum of aliquot parts of n)". OEIS Foundation. https://oeis.org/A005114.
- ↑ Sloane, N. J. A., ed. "Sequence A013922 (Number of labeled connected graphs with n nodes and 0 cutpoints (blocks or nonseparable graphs))". OEIS Foundation. https://oeis.org/A013922.
- ↑ Sloane, N. J. A., ed. "Sequence A056844 (Number of polydiamonds: polyominoes made from n diamonds)". OEIS Foundation. https://oeis.org/A056844.
- ↑ Sloane, N. J. A., ed. "Sequence A167995 (Total number of permutations on {1,2,...,n} that have a unique longest increasing subsequence)". OEIS Foundation. https://oeis.org/A167995.
- ↑ Carbone, Lisa; Chung, Sjuvon; Cobbs, Leigh; Mcrae, Robert; Nandi, Debajyoti; Navqi, Yusra; Penta, Diego (March 2010). "Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits.". Journal of Physics A: Mathematical and Theoretical 43 (15): 30. doi:10.1088/1751-8113/43/15/155209. Bibcode: 2010JPhA...43o5209C. https://sites.math.rutgers.edu/~sefiroth/HypClass.pdf. Retrieved 2022-11-01.
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