183 (Number)
From Handwiki
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← 180 181 182 183 184 185 186 187 188 189 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 → | ||||
| Cardinal | one hundred eighty-three | |||
| Ordinal | 183rd (one hundred eighty-third) | |||
| Factorization | 3 × 61 | |||
| Divisors | 1, 3, 61, 183 | |||
| Greek numeral | ΡΠΓ´ | |||
| Roman numeral | CLXXXIII | |||
| Binary | 101101112 | |||
| Ternary | 202103 | |||
| Quaternary | 23134 | |||
| Quinary | 12135 | |||
| Senary | 5036 | |||
| Octal | 2678 | |||
| Duodecimal | 13312 | |||
| Hexadecimal | B716 | |||
| Vigesimal | 9320 | |||
| Base 36 | 5336 | |||
183 (one hundred [and] eighty-three) is the natural number following 182 and preceding 184.
In mathematics
183 is a perfect totient number, a number that is equal to the sum of its iterated totients.[1]
Because [math]\displaystyle{ 183 = 13^2 + 13 + 1 }[/math], it is the number of points in a projective plane over the finite field [math]\displaystyle{ \mathbb{Z}_{13} }[/math].[2] 183 is the fourth element of a divisibility sequence [math]\displaystyle{ 1,3,13,183,\dots }[/math] in which the [math]\displaystyle{ n }[/math]th number [math]\displaystyle{ a_n }[/math] can be computed as [math]\displaystyle{ a_n=a_{n-1}^2+a_{n-1}+1=\bigl\lfloor x^{2^n}\bigr\rfloor, }[/math] for a transcendental number [math]\displaystyle{ x\approx 1.38509 }[/math].[3][4] This sequence counts the number of trees of height [math]\displaystyle{ \le n }[/math] in which each node can have at most two children.[3][5]
There are 183 different semiorders on four labeled elements.[6]
See also
- The year AD 183 or 183 BC
- List of highways numbered 183
- All pages with titles containing 183
References
- ↑ Sloane, N. J. A., ed. "Sequence A082897 (Perfect totient numbers)". OEIS Foundation. https://oeis.org/A082897.
- ↑ Sloane, N. J. A., ed. "Sequence A002061 (Central polygonal numbers)". OEIS Foundation. https://oeis.org/A002061.
- ↑ 3.0 3.1 Sloane, N. J. A., ed. "Sequence A002065". OEIS Foundation. https://oeis.org/A002065.
- ↑ Dubickas, Artūras (2022). "Transcendency of some constants related to integer sequences of polynomial iterations". Ramanujan Journal 57 (2): 569–581. doi:10.1007/s11139-021-00428-5.
- ↑ Kalman, Stan C.; Kwasny, Barry L. (January 1995). "Tail-recursive distributed representations and simple recurrent networks". Connection Science 7 (1): 61–80. doi:10.1080/09540099508915657. https://openscholarship.wustl.edu/cse_research/547.
- ↑ Sloane, N. J. A., ed. "Sequence A006531 (Semiorders on n elements)". OEIS Foundation. https://oeis.org/A006531.
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Categories: [Integers]
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