311 (number)
Today, 311 (number) remains a topic of constant interest and debate in modern society. With increasing interest in recent years, 311 (number) has captured the attention of experts and fans alike. Whether in academia, in the media, or in everyday conversations, 311 (number) has become a central point of discussion. This trend is not only on a local level, but has also gained relevance on a global level, demonstrating the importance and impact that 311 (number) has on our current reality. Given this growing attention, it is crucial to thoroughly analyze the various dimensions and perspectives that 311 (number) involves, to better understand its scope and implications in our society.
| ||||
|---|---|---|---|---|
| Cardinal | three hundred eleven | |||
| Ordinal | 311th (three hundred eleventh) | |||
| Factorization | prime | |||
| Prime | 64th | |||
| Greek numeral | ΤΙΑ´ | |||
| Roman numeral | CCCXI | |||
| Binary | 1001101112 | |||
| Ternary | 1021123 | |||
| Senary | 12356 | |||
| Octal | 4678 | |||
| Duodecimal | 21B12 | |||
| Hexadecimal | 13716 | |||
| Hebrew | שיא | |||
311 (three hundred eleven) is the natural number following 310 and preceding 312.
311 is the 64th prime; a twin prime with 313; an irregular prime; an emirp, an Eisenstein prime with no imaginary part and real part of the form ; a Gaussian prime with no imaginary part and real part of the form ; and a permutable prime with 113 and 131.
It can be expressed as a sum of consecutive primes in four different ways: as a sum of three consecutive primes (101 + 103 + 107), as a sum of five consecutive primes (53 + 59 + 61 + 67 + 71), as a sum of seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59), and as a sum of eleven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
311 is a strictly non-palindromic number, as it is not palindromic in any base between base 2 and base 309.
311 is the smallest positive integer d such that the imaginary quadratic field Q(√–d) has class number = 19.
References
- ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^ "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^ "Tables of imaginary quadratic fields with small class number". numbertheory.org.