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294 (number)

From Wikipedia, the free encyclopedia
Natural number
← 293294 295 →
Cardinaltwo hundred ninety-four
Ordinal294th
(two hundred ninety-fourth)
Factorization2 × 3 × 72
Divisors1, 2, 3, 6, 7,14, 21, 42, 49, 98, 147, 294
Greek numeralΣϞΔ´
Roman numeralCCXCIV,ccxciv
Binary1001001102
Ternary1012203
Senary12106
Octal4468
Duodecimal20612
Hexadecimal12616

294 is thenatural number following293 and preceding295.

In mathematics

[edit]
  • 294 is an evencomposite number with three prime factors.[1]
  • 294 is the number ofplanar biconnected graphs with 7 vertices. Biconnected graphs aretwo dimensional graphs with a given number of points and 294 is the number of ways to organize 7 vertices in different ways.[2]
  • 11115² - 294² = 123456789
  • The Magic Inscribed Lotus was created by Nārāyaṇa, and Indian Mathematician in the14th century. In this inscription, each group of 12 numbers has a sum of 294. It was constructed with a 12 x 4magic rectangle.[3]
  • In 1930, George A. Miller determined that there are 294isomorphic groups in the order of 64. Isomorphism is making a map that preserves relationships. This was later disproven as there are 267 isomorphic groups in the order of 64. SeeList of incomplete proofs.[4][5]

References

[edit]
  1. ^"Facts about the integer".mathworld.wolfram.com.
  2. ^"Biconnected graph information".mathworld.wolfram.com.
  3. ^Sarcone, Gianni (December 20, 2020)."Magic Inscribed Lotus information".archimedes-lab.org.
  4. ^"George A. Miller information"(PDF).www.nasonline.org.
  5. ^"Isomorphism information".mathworld.wolfram.com.
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