2,864
2,864 is a composite number, even.
2,864 (two thousand eight hundred sixty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 179. Written other ways, in Roman numerals it is MMDCCCLXIV and in binary, 101100110000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 20
- Digit product
- 384
- Digital root
- 2
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,682
- Recamán's sequence
- a(2,475) = 2,864
- Square (n²)
- 8,202,496
- Cube (n³)
- 23,491,948,544
- Divisor count
- 10
- σ(n) — sum of divisors
- 5,580
- φ(n) — Euler's totient
- 1,424
- Sum of prime factors
- 187
Primality
Prime factorization: 2 4 × 179
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,864 = [53; (1, 1, 14, 1, 3, 1, 2, 1, 1, 4, 1, 3, 2, 5, 1, 5, 1, 5, 2, 3, 1, 4, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- two thousand eight hundred sixty-four
- Ordinal
- 2864th
- Roman numeral
- MMDCCCLXIV
- Binary
- 101100110000
- Octal
- 5460
- Hexadecimal
- 0xB30
- Base64
- CzA=
- One's complement
- 62,671 (16-bit)
- Scientific notation
- 2.864 × 10³
- As a duration
- 2,864 s = 47 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βωξδʹ
- Mayan (base 20)
- 𝋧·𝋣·𝋤
- Chinese
- 二千八百六十四
- Chinese (financial)
- 貳仟捌佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,864 = 4
- e — Euler's number (e)
- Digit 2,864 = 6
- φ — Golden ratio (φ)
- Digit 2,864 = 2
- √2 — Pythagoras's (√2)
- Digit 2,864 = 2
- ln 2 — Natural log of 2
- Digit 2,864 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,864 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2864, here are decompositions:
- 3 + 2861 = 2864
- 7 + 2857 = 2864
- 13 + 2851 = 2864
- 31 + 2833 = 2864
- 61 + 2803 = 2864
- 67 + 2797 = 2864
- 73 + 2791 = 2864
- 97 + 2767 = 2864
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 AC B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.48.
- Address
- 0.0.11.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.11.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,864 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, +43¢)
- Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, -19¢)
- Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, +44¢)
The digit sequence 2864 first appears in π at position 21,073 of the decimal expansion (the 21,073ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.