8,004
8,004 is a composite number, even.
8,004 (eight thousand four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 23 × 29. Its proper divisors sum to 12,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F44.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,008
- Recamán's sequence
- a(25,588) = 8,004
- Square (n²)
- 64,064,016
- Cube (n³)
- 512,768,384,064
- Divisor count
- 24
- σ(n) — sum of divisors
- 20,160
- φ(n) — Euler's totient
- 2,464
- Sum of prime factors
- 59
Primality
Prime factorization: 2 2 × 3 × 23 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,004 = [89; (2, 6, 1, 1, 1, 13, 8, 1, 6, 1, 8, 13, 1, 1, 1, 6, 2, 178)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand four
- Ordinal
- 8004th
- Binary
- 1111101000100
- Octal
- 17504
- Hexadecimal
- 0x1F44
- Base64
- H0Q=
- One's complement
- 57,531 (16-bit)
- Scientific notation
- 8.004 × 10³
- As a duration
- 8,004 s = 2 hours, 13 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηδʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋠·𝋤
- Chinese
- 八千零四
- Chinese (financial)
- 捌仟零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,004 = 7
- e — Euler's number (e)
- Digit 8,004 = 8
- φ — Golden ratio (φ)
- Digit 8,004 = 9
- √2 — Pythagoras's (√2)
- Digit 8,004 = 1
- ln 2 — Natural log of 2
- Digit 8,004 = 0
- γ — Euler-Mascheroni (γ)
- Digit 8,004 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8004, here are decompositions:
- 11 + 7993 = 8004
- 41 + 7963 = 8004
- 53 + 7951 = 8004
- 67 + 7937 = 8004
- 71 + 7933 = 8004
- 97 + 7907 = 8004
- 103 + 7901 = 8004
- 127 + 7877 = 8004
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 BD 84 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.68.
- Address
- 0.0.31.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.68
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,004 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +22¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -40¢)
- Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +23¢)
The digit sequence 8004 first appears in π at position 6,635 of the decimal expansion (the 6,635ordinal-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°.