← 146 147 148 →
Cardinalone hundred forty-seven
Ordinal147th
(one hundred forty-seventh)
Factorization3 × 72
Divisors1, 3, 7, 21, 49, 147
Greek numeralΡΜΖ´
Roman numeralCXLVII
Binary100100112
Ternary121103
Senary4036
Octal2238
Duodecimal10312
Hexadecimal9316

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 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

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

References

  1. ↑ 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.
  2. ↑ Sloane, N. J. A. (ed.). "Sequence A007904 (Crystal ball sequence for diamond)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "Sequence A005258 (Apéry numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ↑ 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.
  5. ↑ 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.
  6. ↑ 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.
  7. ↑ 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.
  8. ↑ 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. S2CID 150348844.
  9. ↑ 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.
  10. ↑ 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.
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