238 (number)

238 (two hundred [and] thirty-eight) is the natural number following 237 and preceding 239.

## In mathematics

Short description: Natural number

| <- 237  | 238 |  239 ->

|
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← 230 231 232 233 234 235 236 237 238 239 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

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

1. ↑ Sloane, N. J. A., ed. "Sequence A005114 (Untouchable numbers: impossible values for sum of aliquot parts of n)". OEIS Foundation. https://oeis.org/A005114.
2. ↑ 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.
3. ↑ Sloane, N. J. A., ed. "Sequence A056844 (Number of polydiamonds: polyominoes made from n diamonds)". OEIS Foundation. https://oeis.org/A056844.
4. ↑ 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.
5. ↑ 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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