Cannabaceae

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For other topics, see 177 (disambiguation).
← 176 177 178 →
Cardinalone hundred seventy-seven
Ordinal177th
(one hundred seventy-seventh)
Factorization3 × 59
Divisors1, 3, 59, 177
Greek numeralΡΟΖ´
Roman numeralCLXXVII
Binary101100012
Ternary201203
Senary4536
Octal2618
Duodecimal12912
HexadecimalB116

177 (one hundred [and] seventy-seven) is the natural number following 176 and preceding 178.

In mathematics

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One hundred and seventy-seven is the ninth Leyland number, where[1]

The fifty-seventh semiprime is 177 (after the square of 13),[2] and it is the fifty-first semiprime with distinct prime factors.[3][a]

The magic constant of the smallest full magic square consisting of distinct primes is 177:[7][8][b]

47 89 101
113 59 5
17 29 71

Where the central cell represents the seventeenth prime number,[10] and seventh super-prime;[11] equal to the sum of all prime numbers up to 17, including one:

177 is also an arithmetic number, whose holds an integer arithmetic mean of — it is the one hundred and nineteenth indexed member in this sequence,[4] where The first non-trivial 60-gonal number is 177.[12][c]

177 is the tenth Leonardo number, part of a sequence of numbers closely related to the Fibonacci numbers.[14]

In graph enumeration, there are

There are 177 ways of re-connecting the (labeled) vertices of a regular octagon into a star polygon that does not use any of the octagon edges.[17]

In other fields

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177 is the second highest score for a flight of three darts, below the highest score of 180.[18]

See also

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The year AD 177 or 177 BC

Notes

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  1. ^ Following the fifty-sixth member 166,[3] whose divisors hold an arithmetic mean of 63,[4] a value equal to the aliquot part of 177.[5]
    As a semiprime of the form n = p × q for which p and q are distinct prime numbers congruent to 3 mod 4, 177 is the eleventh Blum integer, where the first such integer 21 divides the aliquot part of 177 thrice over.[6]
  2. ^ The first three such magic constants of non-trivial magic squares with distinct prime numbers sum to 177 + 120 + 233 = 530 — also the sum between the first three perfect numbers, 6 + 28 + 496[9] — that is one less than thrice 177.
  3. ^ Where 60 is the value of the second unitary perfect number, after 6.[13]

References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A001358 (Semiprimes (or biprimes): products of two primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  3. ^ a b Sloane, N. J. A. (ed.). "Sequence A006881 (Squarefree semiprimes: Numbers that are the product of two distinct primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  4. ^ a b Sloane, N. J. A. (ed.). "Sequence A003601 (Numbers n such that the average of the divisors of n is an integer)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A001065 (Sum of proper divisors (or aliquot parts) of n: sum of divisors of n that are less than n.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A016105 (Blum integers: numbers of the form p * q where p and q are distinct primes congruent to 3 (mod 4).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  7. ^ Madachy, Joseph S. (1979). "Chapter 4: Magic and Antimagic Squares". Madachy's Mathematical Recreations. Mineola, NY: Dover. p. 95. ISBN 9780486237626. OCLC 5499643. S2CID 118826937.
  8. ^ Sloane, N. J. A. (ed.). "Sequence A164843 (The smallest magic constant of an n X n magic square with distinct prime entries.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  9. ^ Sloane, N. J. A. (ed.). "Sequence A000396 (Perfect numbers k: k is equal to the sum of the proper divisors of k.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  10. ^ Sloane, N. J. A. (ed.). "Sequence A000040 (The prime numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  11. ^ Sloane, N. J. A. (ed.). "Sequence A006450 (Prime-indexed primes: primes with prime subscripts.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  12. ^ Sloane, N. J. A. (ed.). "Sequence A249911 (60–gonal number)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. ^ Sloane, N. J. A. (ed.). "Sequence A002827 (Unitary perfect numbers: numbers k such that usigma(k) - k equals k.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-04.
  14. ^ Sloane, N. J. A. (ed.). "Sequence A001595 (Leonardo numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  15. ^ Sloane, N. J. A. (ed.). "Sequence A001383 (Number of n-node rooted trees of height at most 3)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  16. ^ Sloane, N. J. A. (ed.). "Sequence A000664 (Number of graphs with n edges)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  17. ^ Sloane, N. J. A. (ed.). "Sequence A002816 (Number of polygons that can be formed from n points on a circle, no two adjacent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  18. ^ "Pub quiz". Tes Magazine. February 9, 2007. Retrieved 2022-06-27.
source: https://en.wikipedia.org/wiki/177_(number)

One thought on “Cannabaceae”

  1. Well, that’s interesting to know that Psilotum nudum are known as whisk ferns. Psilotum nudum is the commoner species of the two. While the P. flaccidum is a rare species and is found in the tropical islands. Both the species are usually epiphytic in habit and grow upon tree ferns. These species may also be terrestrial and grow in humus or in the crevices of the rocks.
    View the detailed Guide of Psilotum nudum: Detailed Study Of Psilotum Nudum (Whisk Fern), Classification, Anatomy, Reproduction

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