16,000
16,000 is a composite number, even.
16,000 (sixteen thousand) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5³. Its proper divisors sum to 23,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3E80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 61
- Flips to (rotate 180°)
- 91
- Recamán's sequence
- a(45,315) = 16,000
- Square (n²)
- 256,000,000
- Cube (n³)
- 4,096,000,000,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 39,780
- φ(n) — Euler's totient
- 6,400
- Sum of prime factors
- 29
Primality
Prime factorization: 2 7 × 5 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,000 = [126; (2, 27, 1, 1, 1, 1, 3, 2, 1, 5, 2, 9, 1, 1, 1, 15, 6, 2, 2, 1, 2, 1, 5, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand
- Ordinal
- 16000th
- Binary
- 11111010000000
- Octal
- 37200
- Hexadecimal
- 0x3E80
- Base64
- PoA=
- One's complement
- 49,535 (16-bit)
- Scientific notation
- 1.6 × 10⁴
- As a duration
- 16,000 s = 4 hours, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ιϛ
- Mayan (base 20)
- 𝋢·𝋠·𝋠·𝋠
- Chinese
- 一萬六千
- Chinese (financial)
- 壹萬陸仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,000 = 6
- e — Euler's number (e)
- Digit 16,000 = 5
- φ — Golden ratio (φ)
- Digit 16,000 = 4
- √2 — Pythagoras's (√2)
- Digit 16,000 = 2
- ln 2 — Natural log of 2
- Digit 16,000 = 8
- γ — Euler-Mascheroni (γ)
- Digit 16,000 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16000, here are decompositions:
- 29 + 15971 = 16000
- 41 + 15959 = 16000
- 113 + 15887 = 16000
- 191 + 15809 = 16000
- 197 + 15803 = 16000
- 227 + 15773 = 16000
- 233 + 15767 = 16000
- 239 + 15761 = 16000
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 BA 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.128.
- Address
- 0.0.62.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.62.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,000 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +21¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +23¢)
The digit sequence 16000 first appears in π at position 111,467 of the decimal expansion (the 111,467ordinal-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.