11,000
11,000 is a composite number, even.
11,000 (eleven thousand) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 11. Its proper divisors sum to 17,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2AF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 2
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 11
- Flips to (rotate 180°)
- 11
- Recamán's sequence
- a(174,259) = 11,000
- Square (n²)
- 121,000,000
- Cube (n³)
- 1,331,000,000,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 28,080
- φ(n) — Euler's totient
- 4,000
- Sum of prime factors
- 32
Primality
Prime factorization: 2 3 × 5 3 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√11,000 = [104; (1, 7, 2, 1, 1, 7, 1, 3, 1, 7, 1, 1, 2, 7, 1, 208)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- eleven thousand
- Ordinal
- 11000th
- Binary
- 10101011111000
- Octal
- 25370
- Hexadecimal
- 0x2AF8
- Base64
- Kvg=
- One's complement
- 54,535 (16-bit)
- Scientific notation
- 1.1 × 10⁴
- As a duration
- 11,000 s = 3 hours, 3 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼
- Greek (Milesian)
- ͵ια
- Mayan (base 20)
- 𝋡·𝋧·𝋪·𝋠
- Chinese
- 一萬一千
- Chinese (financial)
- 壹萬壹仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 11,000 = 7
- e — Euler's number (e)
- Digit 11,000 = 2
- φ — Golden ratio (φ)
- Digit 11,000 = 3
- √2 — Pythagoras's (√2)
- Digit 11,000 = 4
- ln 2 — Natural log of 2
- Digit 11,000 = 9
- γ — Euler-Mascheroni (γ)
- Digit 11,000 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11000, here are decompositions:
- 7 + 10993 = 11000
- 13 + 10987 = 11000
- 43 + 10957 = 11000
- 61 + 10939 = 11000
- 97 + 10903 = 11000
- 109 + 10891 = 11000
- 139 + 10861 = 11000
- 163 + 10837 = 11000
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 AB B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.248.
- Address
- 0.0.42.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.42.248
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 11,000 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -27¢)
- Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +10¢)
- Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -26¢)
The digit sequence 11000 first appears in π at position 262,621 of the decimal expansion (the 262,621ordinal-suffix:st 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.