147 (one hundred [and] forty-seven) is the natural number following 146 and preceding 148.
| ||||
|---|---|---|---|---|
| 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 | |||
| Senary | 4036 | |||
| Octal | 2238 | |||
| Duodecimal | 10312 | |||
| Hexadecimal | 9316 | |||
In mathematics
edit147 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 following 19, where[3]
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
edit147 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
editReferences
edit- ^ Sloane, N. J. A. (ed.). "Sequence A005902 (Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007904 (Crystal ball sequence for diamond)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005258 (Apéry numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002808 (The composite numbers: numbers n of the form x*y for x > 1 and y > 1.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 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.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A037245 (Number of unrooted self-avoiding walks of n steps on square lattice)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Hill, Andrew P.; Mallinson-Howard, Sarah H.; Madigan, Daniel J.; Jowett, Gareth E. (2020). "Perfectionism in Sport, Dance, and Exercise". In Tenenbaum, Gershon; Eklund, Robert C. (eds.). Handbook of Sport Psychology (PDF) (4th ed.). Wiley. pp. 121–157. doi:10.1002/9781119568124.ch7. ISBN 978-1-119-56807-0. S2CID 150348844.
- ^ 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. JSTOR 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. JSTOR 44092352.