147 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred forty-seven | |||
| Ordinal | 147th (one hundred forty-seventh) | |||
| Factorization | 3 × 72 | |||
| Divisors | 1, 3, 7, 21, 49, 147 | |||
| Greek numeral | ΡΜΖ´ | |||
| Roman numeral | CXLVII | |||
| Binary | 100100112 | |||
| Ternary | 121103 | |||
| Quaternary | 21034 | |||
| Quinary | 10425 | |||
| Senary | 4036 | |||
| Octal | 2238 | |||
| Duodecimal | 10312 | |||
| Hexadecimal | 9316 | |||
| Vigesimal | 7720 | |||
| Base 36 | 4336 | |||
147 (one hundred [and] forty-seven) is the natural number following 146 and preceding 148.
In mathematics
147 is the fourth centered icosahedral number. These are a class of figurate numbers that represent points in the shape of a regular icosahedron or alternatively points in the shape of a cuboctahedron, and are magic numbers for the face-centered cubic lattice.[1] Separately, it is also a magic number for the diamond cubic.[2]
It is also the fourth Apéry number [math]\displaystyle{ a_3 }[/math] following 19, where[3] [math]\displaystyle{ a_n=\sum_{k=0}^n\binom{n}{k}^2\binom{n+k}{k}, }[/math]
with 147 the composite index of the nineteenth triangle number, 190.[4][5]
There are 147 different ways of representing one as a sum of unit fractions with five terms, allowing repeated fractions,[6] and 147 different self-avoiding polygonal chains of length six using horizontal and vertical segments of the integer lattice.[7]
In other fields
147 is the highest possible break in snooker, in the absence of fouls and refereeing errors.[8]
In some traditions, there are 147 psalms. However, current Christian and Jewish traditions list a larger number, leading to the suggestion that some of the psalms in the earlier numbering were split into multiple pieces.[9][10]
147 is the telephonic number of the 27 Brazilian Civil Police forces.
See also
- 147 (disambiguation)
References
- ↑ Sloane, N. J. A., ed. "Sequence A005902 (Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice)". OEIS Foundation. https://oeis.org/A005902.
- ↑ Sloane, N. J. A., ed. "Sequence A007904 (Crystal ball sequence for diamond)". OEIS Foundation. https://oeis.org/A007904.
- ↑ Sloane, N. J. A., ed. "Sequence A005258 (Apéry numbers)". OEIS Foundation. https://oeis.org/A005258.
- ↑ Sloane, N. J. A., ed. "Sequence A002808 (The composite numbers: numbers n of the form x*y for x > 1 and y > 1.)". OEIS Foundation. https://oeis.org/A002808. Retrieved 2023-12-29.
- ↑ Sloane, N. J. A., ed. "Sequence A000217 (Triangular number: a(n) is the binomial(n+1,2) equivalent to n*(n+1)/2 that is 0 + 1 + 2 + ... + n.)". OEIS Foundation. https://oeis.org/A000217. Retrieved 2023-12-29.
- ↑ Sloane, N. J. A., ed. "Sequence A002966 (Egyptian fractions: number of solutions of 1 = 1/x_1 + ... + 1/x_n where 0 < x_1 ≤ ... ≤ x_n)". OEIS Foundation. https://oeis.org/A002966.
- ↑ Sloane, N. J. A., ed. "Sequence A037245 (Number of unrooted self-avoiding walks of n steps on square lattice)". OEIS Foundation. https://oeis.org/A037245.
- ↑ Hill, Andrew P.; Mallinson-Howard, Sarah H.; Madigan, Daniel J.; Jowett, Gareth E. (2020). "Handbook of Sport Psychology". in Tenenbaum, Gershon; Eklund, Robert C.. Handbook of Sport Psychology (4th ed.). Wiley. pp. 121–157. doi:10.1002/9781119568124.ch7. http://ray.yorksj.ac.uk/id/eprint/1758/1/Routledge%20BC%2011%20-%20Hill%20-%20Accepted%20Version%20%28J%20Stoeber%2014%20Oct%2016%29.pdf.
- ↑ Rabinowitz, L. (April 1936). "Does Midrash Tillim Reflect the Triennial Cycle of Psalms?". The Jewish Quarterly Review 26 (4): 349–368. doi:10.2307/1452095.
- ↑ Yarchin, William (July 2015). "Is There an Authoritative Shape for the Hebrew Book Of Psalms? Profiling the Manuscripts of the Hebrew Psalter". Revue Biblique 122 (3): 355–370.
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