307 (number)

Short description: Natural number

| <- 306  | 307 | 308 ->

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List of numbers — Integers

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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

* 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 noniamonds meaning that it is the number of ways to organize 9 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 ℚ(−n) has class number 3.[8]

## References

1. ↑ "Prime number information". https://mathworld.wolfram.com/PrimeNumber.html.
2. ↑ 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)". OEIS Foundation. https://oeis.org/A007510.
3. ↑ Sloane, N. J. A., ed. "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime)". OEIS Foundation. https://oeis.org/A109611.
4. ↑ Lewulis, Pawel (2016). "Chen primes in arithmetic progressions". arXiv:1601.02873 [math.NT].
5. ↑ 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)". OEIS Foundation. https://oeis.org/A006534.
6. ↑ Sloane, N. J. A., ed. "Sequence A028818 (Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots)". OEIS Foundation. https://oeis.org/A028818.
7. ↑ Sloane, N. J. A., ed. "Sequence A000293 (a(n) = number of solid (i.e., three-dimensional) partitions of n)". OEIS Foundation. https://oeis.org/A000293.
8. ↑ Sloane, N. J. A., ed. "Sequence A006203 (Discriminants of imaginary quadratic fields with class number 3 (negated))". OEIS Foundation. https://oeis.org/A006203.

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