6,000
6,000 is a composite number, even.
6,000 (six thousand) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5³. Its proper divisors sum to 13,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1770.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 6
- Flips to (rotate 180°)
- 9
- Recamán's sequence
- a(12,763) = 6,000
- Square (n²)
- 36,000,000
- Cube (n³)
- 216,000,000,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 19,344
- φ(n) — Euler's totient
- 1,600
- Sum of prime factors
- 26
Primality
Prime factorization: 2 4 × 3 × 5 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,000 = [77; (2, 5, 1, 2, 3, 5, 1, 8, 1, 5, 3, 2, 1, 5, 2, 154)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- six thousand
- Ordinal
- 6000th
- Binary
- 1011101110000
- Octal
- 13560
- Hexadecimal
- 0x1770
- Base64
- F3A=
- One's complement
- 59,535 (16-bit)
- Scientific notation
- 6 × 10³
- As a duration
- 6,000 s = 1 hour, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ϛ
- Mayan (base 20)
- 𝋯·𝋠·𝋠
- Chinese
- 六千
- Chinese (financial)
- 陸仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,000 = 6
- e — Euler's number (e)
- Digit 6,000 = 0
- φ — Golden ratio (φ)
- Digit 6,000 = 0
- √2 — Pythagoras's (√2)
- Digit 6,000 = 0
- ln 2 — Natural log of 2
- Digit 6,000 = 7
- γ — Euler-Mascheroni (γ)
- Digit 6,000 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6000, here are decompositions:
- 13 + 5987 = 6000
- 19 + 5981 = 6000
- 47 + 5953 = 6000
- 61 + 5939 = 6000
- 73 + 5927 = 6000
- 97 + 5903 = 6000
- 103 + 5897 = 6000
- 131 + 5869 = 6000
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 9D B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.112.
- Address
- 0.0.23.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.23.112
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,000 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +23¢)
- Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -39¢)
- Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +25¢)
The digit sequence 6000 first appears in π at position 23,146 of the decimal expansion (the 23,146ordinal-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°.