305 (number)
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|---|---|---|---|---|
| Cardinal | three hundred five | |||
| Ordinal | 305th (three hundred fifth) | |||
| Factorization | 5 × 61 | |||
| Divisors | 1, 5, 61, 305 | |||
| Greek numeral | ΤΕ´ | |||
| Roman numeral | CCCV | |||
| Binary | 1001100012 | |||
| Ternary | 1020223 | |||
| Quaternary | 103014 | |||
| Quinary | 22105 | |||
| Senary | 12256 | |||
| Octal | 4618 | |||
| Duodecimal | 21512 | |||
| Hexadecimal | 13116 | |||
| Vigesimal | F520 | |||
| Base 36 | 8H36 | |||
305 is the natural number following 304 and preceding 306.
In mathematics[edit]
- 305 is an odd composite number with two prime factors.[1]
- 305 is the convolution of the first 7 primes with themselves.[2]
- 305 is the fifth hexagonal prism number which is defined by (n+1)(3n2+3n+1).[3]
- 305 is a denominator of the continued fractions convergent to √5.[4]
- 305 is the hypotenuse of two Pythagorean triples. 3052=2072+2242=1362+2732.[5][6]
Other fields[edit]
- The calendar years 305 AD and 305 BC.
- 301 is the number for several highways across the countries of Canada, China, India, Japan, the Philippines, and the United States.
References[edit]
- ↑ "Facts about the integer". mathworld.wolfram.com.
- ↑ Sloane, N. J. A. (ed.). "Sequence A014342 (Convolution of primes with themselves)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A005915". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A001076 (Denominators of continued fraction convergents to sqrt(5))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Pythagorean triples". mathworld.wolfram.com.
- ↑ Tobin-Campbell, Christopher. "Systems of Pythagorean Triples" (PDF). www.whitman.edu.
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