16,842
16,842 is a composite number, even.
16,842 (sixteen thousand eight hundred forty-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 401. Its proper divisors sum to 21,750, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x41CA.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 384
- Digital root
- 3
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 24,861
- Recamán's sequence
- a(17,552) = 16,842
- Square (n²)
- 283,652,964
- Cube (n³)
- 4,777,283,219,688
- Divisor count
- 16
- σ(n) — sum of divisors
- 38,592
- φ(n) — Euler's totient
- 4,800
- Sum of prime factors
- 413
Primality
Prime factorization: 2 × 3 × 7 × 401
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,842 = [129; (1, 3, 2, 11, 2, 1, 4, 1, 5, 1, 1, 36, 1, 1, 5, 1, 4, 1, 2, 11, 2, 3, 1, 258)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand eight hundred forty-two
- Ordinal
- 16842nd
- Binary
- 100000111001010
- Octal
- 40712
- Hexadecimal
- 0x41CA
- Base64
- Qco=
- One's complement
- 48,693 (16-bit)
- Scientific notation
- 1.6842 × 10⁴
- As a duration
- 16,842 s = 4 hours, 40 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιϛωμβʹ
- Mayan (base 20)
- 𝋢·𝋢·𝋢·𝋢
- Chinese
- 一萬六千八百四十二
- Chinese (financial)
- 壹萬陸仟捌佰肆拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,842 = 8
- e — Euler's number (e)
- Digit 16,842 = 0
- φ — Golden ratio (φ)
- Digit 16,842 = 3
- √2 — Pythagoras's (√2)
- Digit 16,842 = 3
- ln 2 — Natural log of 2
- Digit 16,842 = 1
- γ — Euler-Mascheroni (γ)
- Digit 16,842 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16842, here are decompositions:
- 11 + 16831 = 16842
- 13 + 16829 = 16842
- 19 + 16823 = 16842
- 31 + 16811 = 16842
- 79 + 16763 = 16842
- 83 + 16759 = 16842
- 101 + 16741 = 16842
- 113 + 16729 = 16842
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 87 8A (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.202.
- Address
- 0.0.65.202
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.65.202
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,842 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +10¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +48¢ — about midway to C♯10)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +11¢)
The digit sequence 16842 first appears in π at position 2,402 of the decimal expansion (the 2,402ordinal-suffix:nd 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°.