6,800
6,800 is a composite number, even.
6,800 (six thousand eight hundred) is an even 4-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 17. Its proper divisors sum to 10,498, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 86
- Flips to (rotate 180°)
- 89
- Recamán's sequence
- a(26,744) = 6,800
- Square (n²)
- 46,240,000
- Cube (n³)
- 314,432,000,000
- Divisor count
- 30
- σ(n) — sum of divisors
- 17,298
- φ(n) — Euler's totient
- 2,560
- Sum of prime factors
- 35
Primality
Prime factorization: 2 4 × 5 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,800 = [82; (2, 6, 10, 6, 2, 164)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- six thousand eight hundred
- Ordinal
- 6800th
- Binary
- 1101010010000
- Octal
- 15220
- Hexadecimal
- 0x1A90
- Base64
- GpA=
- One's complement
- 58,735 (16-bit)
- Scientific notation
- 6.8 × 10³
- As a duration
- 6,800 s = 1 hour, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϛωʹ
- Mayan (base 20)
- 𝋱·𝋠·𝋠
- Chinese
- 六千八百
- Chinese (financial)
- 陸仟捌佰
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,800 = 1
- e — Euler's number (e)
- Digit 6,800 = 9
- φ — Golden ratio (φ)
- Digit 6,800 = 1
- √2 — Pythagoras's (√2)
- Digit 6,800 = 3
- ln 2 — Natural log of 2
- Digit 6,800 = 4
- γ — Euler-Mascheroni (γ)
- Digit 6,800 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6800, here are decompositions:
- 7 + 6793 = 6800
- 19 + 6781 = 6800
- 37 + 6763 = 6800
- 67 + 6733 = 6800
- 97 + 6703 = 6800
- 109 + 6691 = 6800
- 127 + 6673 = 6800
- 139 + 6661 = 6800
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 AA 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.144.
- Address
- 0.0.26.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.26.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,800 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +40¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -22¢)
- Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +41¢)
The digit sequence 6800 first appears in π at position 1,834 of the decimal expansion (the 1,834ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.