2013 (number)
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| ||||
|---|---|---|---|---|
| Cardinal | two thousand thirteen | |||
| Ordinal | 2013th (two thousand thirteenth) | |||
| Factorization | 3 × 11 × 61 | |||
| Greek numeral | ,ΒΙΓ´ | |||
| Roman numeral | MMXIII | |||
| Binary | 111110111012 | |||
| Ternary | 22021203 | |||
| Quaternary | 1331314 | |||
| Quinary | 310235 | |||
| Senary | 131536 | |||
| Octal | 37358 | |||
| Duodecimal | 11B912 | |||
| Hexadecimal | 7DD16 | |||
| Vigesimal | 50D20 | |||
| Base 36 | 1JX36 | |||
| Hamming weight | 9 | |||
2013 (two thousand thirteen) is the number following 2012 and preceding 2014.
It and its two successors 2014 and 2015 all have three distinct prime factors. There are only two earlier triples of numbers with the same property, starting at 1309 and 1885.[1]
2013 may be represented by a sum or difference of squares of prime numbers as 312 + 292 + 172 − 72 − 52 − 22. It is the smallest number whose representations all use at least one prime greater than or equal to 31.[2]
References[edit]
- ↑ Sloane, N. J. A. (ed.). "Sequence A066509 (The first of a triple of consecutive integers, each the product of three distinct primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A089295 (First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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