3,864
3,864 is a composite number, even.
3,864 (three thousand eight hundred sixty-four) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 23. Its proper divisors sum to 7,656, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCLXIV and in binary, 111100011000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 21
- Digit product
- 576
- Digital root
- 3
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,683
- Recamán's sequence
- a(6,200) = 3,864
- Square (n²)
- 14,930,496
- Cube (n³)
- 57,691,436,544
- Divisor count
- 32
- σ(n) — sum of divisors
- 11,520
- φ(n) — Euler's totient
- 1,056
- Sum of prime factors
- 39
Primality
Prime factorization: 2 3 × 3 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,864 = [62; (6, 4, 1, 4, 6, 124)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- three thousand eight hundred sixty-four
- Ordinal
- 3864th
- Roman numeral
- MMMDCCCLXIV
- Binary
- 111100011000
- Octal
- 7430
- Hexadecimal
- 0xF18
- Base64
- Dxg=
- One's complement
- 61,671 (16-bit)
- Scientific notation
- 3.864 × 10³
- As a duration
- 3,864 s = 1 hour, 4 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γωξδʹ
- Mayan (base 20)
- 𝋩·𝋭·𝋤
- Chinese
- 三千八百六十四
- Chinese (financial)
- 參仟捌佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,864 = 8
- e — Euler's number (e)
- Digit 3,864 = 0
- φ — Golden ratio (φ)
- Digit 3,864 = 3
- √2 — Pythagoras's (√2)
- Digit 3,864 = 3
- ln 2 — Natural log of 2
- Digit 3,864 = 6
- γ — Euler-Mascheroni (γ)
- Digit 3,864 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3864, here are decompositions:
- 11 + 3853 = 3864
- 13 + 3851 = 3864
- 17 + 3847 = 3864
- 31 + 3833 = 3864
- 41 + 3823 = 3864
- 43 + 3821 = 3864
- 61 + 3803 = 3864
- 67 + 3797 = 3864
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 BC 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.24.
- Address
- 0.0.15.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.24
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,864 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, -39¢)
- Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -1¢)
- Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, -37¢)
The digit sequence 3864 first appears in π at position 8,144 of the decimal expansion (the 8,144ordinal-suffix:th 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.