4,864
4,864 is a composite number, even.
4,864 (four thousand eight hundred sixty-four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2⁸ × 19. Its proper divisors sum to 5,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1300.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 22
- Digit product
- 768
- Digital root
- 4
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,684
- Recamán's sequence
- a(5,216) = 4,864
- Square (n²)
- 23,658,496
- Cube (n³)
- 115,074,924,544
- Divisor count
- 18
- σ(n) — sum of divisors
- 10,220
- φ(n) — Euler's totient
- 2,304
- Sum of prime factors
- 35
Primality
Prime factorization: 2 8 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,864 = [69; (1, 2, 1, 7, 2, 5, 9, 8, 1, 1, 1, 1, 3, 1, 8, 1, 1, 14, 1, 33, 1, 14, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four thousand eight hundred sixty-four
- Ordinal
- 4864th
- Binary
- 1001100000000
- Octal
- 11400
- Hexadecimal
- 0x1300
- Base64
- EwA=
- One's complement
- 60,671 (16-bit)
- Scientific notation
- 4.864 × 10³
- As a duration
- 4,864 s = 1 hour, 21 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δωξδʹ
- Mayan (base 20)
- 𝋬·𝋣·𝋤
- Chinese
- 四千八百六十四
- Chinese (financial)
- 肆仟捌佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,864 = 6
- e — Euler's number (e)
- Digit 4,864 = 4
- φ — Golden ratio (φ)
- Digit 4,864 = 8
- √2 — Pythagoras's (√2)
- Digit 4,864 = 7
- ln 2 — Natural log of 2
- Digit 4,864 = 8
- γ — Euler-Mascheroni (γ)
- Digit 4,864 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4864, here are decompositions:
- 3 + 4861 = 4864
- 47 + 4817 = 4864
- 71 + 4793 = 4864
- 113 + 4751 = 4864
- 131 + 4733 = 4864
- 173 + 4691 = 4864
- 191 + 4673 = 4864
- 227 + 4637 = 4864
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 8C 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.0.
- Address
- 0.0.19.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.19.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,864 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, -40¢)
- Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, -2¢)
- Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, -39¢)
The digit sequence 4864 first appears in π at position 25,693 of the decimal expansion (the 25,693ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.