6,004
6,004 is a composite number, even.
6,004 (six thousand four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 79. Written other ways, in hexadecimal, 0x1774.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,006
- Recamán's sequence
- a(12,755) = 6,004
- Square (n²)
- 36,048,016
- Cube (n³)
- 216,432,288,064
- Divisor count
- 12
- σ(n) — sum of divisors
- 11,200
- φ(n) — Euler's totient
- 2,808
- Sum of prime factors
- 102
Primality
Prime factorization: 2 2 × 19 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,004 = [77; (2, 16, 1, 2, 1, 1, 2, 1, 1, 1, 9, 1, 2, 3, 10, 30, 1, 8, 1, 2, 1, 1, 5, 6, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- six thousand four
- Ordinal
- 6004th
- Binary
- 1011101110100
- Octal
- 13564
- Hexadecimal
- 0x1774
- Base64
- F3Q=
- One's complement
- 59,531 (16-bit)
- Scientific notation
- 6.004 × 10³
- As a duration
- 6,004 s = 1 hour, 40 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛδʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋤
- Chinese
- 六千零四
- Chinese (financial)
- 陸仟零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,004 = 0
- e — Euler's number (e)
- Digit 6,004 = 9
- φ — Golden ratio (φ)
- Digit 6,004 = 2
- √2 — Pythagoras's (√2)
- Digit 6,004 = 3
- ln 2 — Natural log of 2
- Digit 6,004 = 9
- γ — Euler-Mascheroni (γ)
- Digit 6,004 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6004, here are decompositions:
- 17 + 5987 = 6004
- 23 + 5981 = 6004
- 101 + 5903 = 6004
- 107 + 5897 = 6004
- 137 + 5867 = 6004
- 191 + 5813 = 6004
- 197 + 5807 = 6004
- 263 + 5741 = 6004
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.116.
- Address
- 0.0.23.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.23.116
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,004 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +24¢)
- Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -38¢)
- Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +26¢)
The digit sequence 6004 first appears in π at position 21,339 of the decimal expansion (the 21,339ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.