3,343
3,343 is a prime, odd.
3,343 (three thousand three hundred forty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCCCXLIII and in binary, 110100001111.
Interestingness
Properties
Primality
3,343 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,343 = [57; (1, 4, 1, 1, 15, 1, 37, 1, 1, 1, 1, 5, 1, 4, 1, 1, 1, 12, 4, 1, 18, 2, 7, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- three thousand three hundred forty-three
- Ordinal
- 3343rd
- Roman numeral
- MMMCCCXLIII
- Binary
- 110100001111
- Octal
- 6417
- Hexadecimal
- 0xD0F
- Base64
- DQ8=
- One's complement
- 62,192 (16-bit)
- Scientific notation
- 3.343 × 10³
- As a duration
- 3,343 s = 55 minutes, 43 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵γτμγʹ
- Mayan (base 20)
- 𝋨·𝋧·𝋣
- Chinese
- 三千三百四十三
- Chinese (financial)
- 參仟參佰肆拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,343 = 6
- e — Euler's number (e)
- Digit 3,343 = 8
- φ — Golden ratio (φ)
- Digit 3,343 = 3
- √2 — Pythagoras's (√2)
- Digit 3,343 = 5
- ln 2 — Natural log of 2
- Digit 3,343 = 7
- γ — Euler-Mascheroni (γ)
- Digit 3,343 = 4
Also seen as
UTF-8 encoding: E0 B4 8F (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.15.
- Address
- 0.0.13.15
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.13.15
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,343 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +11¢)
- Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +48¢ — about midway to A7)
- Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +12¢)
The digit sequence 3343 first appears in π at position 11,351 of the decimal expansion (the 11,351ordinal-suffix:st digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.