6,804
6,804 is a composite number, even.
6,804 (six thousand eight hundred four) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 7. Its proper divisors sum to 13,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A94.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,086
- Recamán's sequence
- a(26,736) = 6,804
- Square (n²)
- 46,294,416
- Cube (n³)
- 314,987,206,464
- Divisor count
- 36
- σ(n) — sum of divisors
- 20,384
- φ(n) — Euler's totient
- 1,944
- Sum of prime factors
- 26
Primality
Prime factorization: 2 2 × 3 5 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,804 = [82; (2, 17, 1, 4, 1, 17, 2, 164)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- six thousand eight hundred four
- Ordinal
- 6804th
- Binary
- 1101010010100
- Octal
- 15224
- Hexadecimal
- 0x1A94
- Base64
- GpQ=
- One's complement
- 58,731 (16-bit)
- Scientific notation
- 6.804 × 10³
- As a duration
- 6,804 s = 1 hour, 53 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛωδʹ
- Mayan (base 20)
- 𝋱·𝋠·𝋤
- Chinese
- 六千八百零四
- Chinese (financial)
- 陸仟捌佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,804 = 1
- e — Euler's number (e)
- Digit 6,804 = 5
- φ — Golden ratio (φ)
- Digit 6,804 = 4
- √2 — Pythagoras's (√2)
- Digit 6,804 = 4
- ln 2 — Natural log of 2
- Digit 6,804 = 3
- γ — Euler-Mascheroni (γ)
- Digit 6,804 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6804, here are decompositions:
- 11 + 6793 = 6804
- 13 + 6791 = 6804
- 23 + 6781 = 6804
- 41 + 6763 = 6804
- 43 + 6761 = 6804
- 67 + 6737 = 6804
- 71 + 6733 = 6804
- 101 + 6703 = 6804
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 AA 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.148.
- Address
- 0.0.26.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.26.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,804 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +41¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -21¢)
- Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +42¢)
The digit sequence 6804 first appears in π at position 1,773 of the decimal expansion (the 1,773ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.