3,313
3,313 is a prime, odd.
3,313 (three thousand three hundred thirteen) 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 MMMCCCXIII and in binary, 110011110001.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 10
- Digit product
- 27
- Digital root
- 1
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,133
- Recamán's sequence
- a(6,722) = 3,313
- Square (n²)
- 10,975,969
- Cube (n³)
- 36,363,385,297
- Divisor count
- 2
- σ(n) — sum of divisors
- 3,314
- φ(n) — Euler's totient
- 3,312
Primality
3,313 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,313 = [57; (1, 1, 3, 1, 3, 5, 4, 1, 1, 1, 1, 5, 2, 4, 1, 1, 4, 1, 13, 1, 1, 3, 12, 1, …)]
Representations
- In words
- three thousand three hundred thirteen
- Ordinal
- 3313th
- Roman numeral
- MMMCCCXIII
- Binary
- 110011110001
- Octal
- 6361
- Hexadecimal
- 0xCF1
- Base64
- DPE=
- One's complement
- 62,222 (16-bit)
- Scientific notation
- 3.313 × 10³
- As a duration
- 3,313 s = 55 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵γτιγʹ
- Mayan (base 20)
- 𝋨·𝋥·𝋭
- Chinese
- 三千三百一十三
- Chinese (financial)
- 參仟參佰壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,313 = 6
- e — Euler's number (e)
- Digit 3,313 = 8
- φ — Golden ratio (φ)
- Digit 3,313 = 4
- √2 — Pythagoras's (√2)
- Digit 3,313 = 9
- ln 2 — Natural log of 2
- Digit 3,313 = 1
- γ — Euler-Mascheroni (γ)
- Digit 3,313 = 7
Also seen as
UTF-8 encoding: E0 B3 B1 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.241.
- Address
- 0.0.12.241
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.12.241
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,313 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -5¢)
- Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +33¢)
- Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -4¢)
The digit sequence 3313 first appears in π at position 1,302 of the decimal expansion (the 1,302ordinal-suffix:nd 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.