2,243
2,243 is a prime, odd.
2,243 (two thousand two 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 MMCCXLIII and in binary, 100011000011.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 11
- Digit product
- 48
- Digital root
- 2
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,422
- Recamán's sequence
- a(3,265) = 2,243
- Square (n²)
- 5,031,049
- Cube (n³)
- 11,284,642,907
- Divisor count
- 2
- σ(n) — sum of divisors
- 2,244
- φ(n) — Euler's totient
- 2,242
Primality
2,243 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,243 = [47; (2, 1, 3, 2, 4, 1, 1, 5, 47, 5, 1, 1, 4, 2, 3, 1, 2, 94)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- two thousand two hundred forty-three
- Ordinal
- 2243rd
- Roman numeral
- MMCCXLIII
- Binary
- 100011000011
- Octal
- 4303
- Hexadecimal
- 0x8C3
- Base64
- CMM=
- One's complement
- 63,292 (16-bit)
- Scientific notation
- 2.243 × 10³
- As a duration
- 2,243 s = 37 minutes, 23 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵βσμγʹ
- Mayan (base 20)
- 𝋥·𝋬·𝋣
- Chinese
- 二千二百四十三
- Chinese (financial)
- 貳仟貳佰肆拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,243 = 9
- e — Euler's number (e)
- Digit 2,243 = 0
- φ — Golden ratio (φ)
- Digit 2,243 = 1
- √2 — Pythagoras's (√2)
- Digit 2,243 = 3
- ln 2 — Natural log of 2
- Digit 2,243 = 1
- γ — Euler-Mascheroni (γ)
- Digit 2,243 = 2
Also seen as
UTF-8 encoding: E0 A3 83 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.195.
- Address
- 0.0.8.195
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.195
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,243 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +20¢)
- Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -43¢)
- Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +21¢)
The digit sequence 2243 first appears in π at position 16,403 of the decimal expansion (the 16,403ordinal-suffix:rd 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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.