307 (number)
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|---|---|---|---|---|
| Cardinal | three hundred seven | |||
| Ordinal | 307th (three hundred seventh) | |||
| Factorization | prime | |||
| Divisors | 1, 307 | |||
| Greek numeral | ΤΖ´ | |||
| Roman numeral | CCCVII | |||
| Binary | 1001100112 | |||
| Ternary | 1021013 | |||
| Quaternary | 103034 | |||
| Quinary | 22125 | |||
| Senary | 12316 | |||
| Octal | 4638 | |||
| Duodecimal | 21712 | |||
| Hexadecimal | 13316 | |||
| Vigesimal | F720 | |||
| Base 36 | 8J36 | |||
307 is the natural number following 306 and preceding 308.
In mathematics[edit]
- 307 is an odd prime number.[1] It is an isolated (i.e., not twin) prime,[2] but because 309 is a semiprime, 307 is a Chen prime.[3][4]
- 307 is the number of one-sided octiamonds meaning that it is the number of ways to organize 8 triangles with each one touching at least one other on the edge.[5]
- 307 is the third non-palindromic number to have a palindromic square. 3072=94249.[6]
- 307 is the number of solid partitions of 7.[7]
- 307 is one of only 16 natural numbers for which the imaginary quadratic field has class number 3.[8]
Other fields[edit]
- The calendar years 307 AD and 307 BC.
- 307 is the number for several highways across the countries of Brazil, Canada, China, Costa Rica, India, Japan, Mexico, the Philippines, the United Kingdom, and the United States. For example the Bundesstraße 307 in Germany.
References[edit]
- ↑ "Prime number information". mathworld.wolfram.com.
- ↑ Sloane, N. J. A. (ed.). "Sequence A007510 (Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Lewulis, Pawel. "Chen primes in arithmetic progressions" (PDF). arxiv.org.
- ↑ Sloane, N. J. A. (ed.). "Sequence A006534 (Number of one-sided triangular polyominoes (n-iamonds) with n cells; turning over not allowed, holes are allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A028818 (Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A000293 (a(n) = number of solid (i.e., three-dimensional) partitions of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A006203 (Discriminants of imaginary quadratic fields with class number 3 (negated))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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