16,002
16,002 is a composite number, even.
16,002 (sixteen thousand two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 127. Its proper divisors sum to 23,934, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3E82.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 20,061
- Recamán's sequence
- a(45,311) = 16,002
- Square (n²)
- 256,064,004
- Cube (n³)
- 4,097,536,192,008
- Divisor count
- 24
- σ(n) — sum of divisors
- 39,936
- φ(n) — Euler's totient
- 4,536
- Sum of prime factors
- 142
Primality
Prime factorization: 2 × 3 2 × 7 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,002 = [126; (2, 252)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand two
- Ordinal
- 16002nd
- Binary
- 11111010000010
- Octal
- 37202
- Hexadecimal
- 0x3E82
- Base64
- PoI=
- One's complement
- 49,533 (16-bit)
- Scientific notation
- 1.6002 × 10⁴
- As a duration
- 16,002 s = 4 hours, 26 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
- Greek (Milesian)
- ͵ιϛβʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋠·𝋢
- Chinese
- 一萬六千零二
- Chinese (financial)
- 壹萬陸仟零貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,002 = 3
- e — Euler's number (e)
- Digit 16,002 = 4
- φ — Golden ratio (φ)
- Digit 16,002 = 0
- √2 — Pythagoras's (√2)
- Digit 16,002 = 2
- ln 2 — Natural log of 2
- Digit 16,002 = 6
- γ — Euler-Mascheroni (γ)
- Digit 16,002 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16002, here are decompositions:
- 11 + 15991 = 16002
- 29 + 15973 = 16002
- 31 + 15971 = 16002
- 43 + 15959 = 16002
- 79 + 15923 = 16002
- 83 + 15919 = 16002
- 89 + 15913 = 16002
- 101 + 15901 = 16002
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 BA 82 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.130.
- Address
- 0.0.62.130
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.62.130
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,002 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +22¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +23¢)
The digit sequence 16002 first appears in π at position 26,424 of the decimal expansion (the 26,424ordinal-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°.