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294 (number)

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Natural number
← 293 294 295 →
200 210 220 230 240 250 260 270 280 290 0 100 200 300 400 500 600 700 800 900
Cardinaltwo hundred ninety-four
Ordinal294th
(two hundred ninety-fourth)
Factorization2 × 3 × 7
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 the natural number following 293 and preceding 295.

In mathematics

  • 294 is an even composite number with three prime factors.
  • 294 is the number of planar biconnected graphs with 7 vertices. Biconnected graphs are two dimensional graphs with a given number of points and 294 is the number of ways to organize 7 vertices in different ways.
  • 11115² - 294² = 123456789
  • The Magic Inscribed Lotus was created by Nārāyaṇa, and Indian Mathematician in the 14th century. In this inscription, each group of 12 numbers has a sum of 294. It was constructed with a 12 x 4 magic rectangle.
  • In 1930, George A. Miller determined that there are 294 isomorphic 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. See List of incomplete proofs.

References

  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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