13,684
13,684 is a composite number, even.
13,684 (thirteen thousand six hundred eighty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 311. Written other ways, in hexadecimal, 0x3574.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 22
- Digit product
- 576
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 48,631
- Recamán's sequence
- a(91,276) = 13,684
- Square (n²)
- 187,251,856
- Cube (n³)
- 2,562,354,397,504
- Divisor count
- 12
- σ(n) — sum of divisors
- 26,208
- φ(n) — Euler's totient
- 6,200
- Sum of prime factors
- 326
Primality
Prime factorization: 2 2 × 11 × 311
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,684 = [116; (1, 45, 1, 3, 1, 8, 1, 1, 3, 1, 2, 1, 1, 1, 20, 1, 1, 1, 2, 1, 3, 1, 1, 8, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand six hundred eighty-four
- Ordinal
- 13684th
- Binary
- 11010101110100
- Octal
- 32564
- Hexadecimal
- 0x3574
- Base64
- NXQ=
- One's complement
- 51,851 (16-bit)
- Scientific notation
- 1.3684 × 10⁴
- As a duration
- 13,684 s = 3 hours, 48 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγχπδʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋤·𝋤
- Chinese
- 一萬三千六百八十四
- Chinese (financial)
- 壹萬參仟陸佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,684 = 6
- e — Euler's number (e)
- Digit 13,684 = 4
- φ — Golden ratio (φ)
- Digit 13,684 = 5
- √2 — Pythagoras's (√2)
- Digit 13,684 = 6
- ln 2 — Natural log of 2
- Digit 13,684 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,684 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13684, here are decompositions:
- 3 + 13681 = 13684
- 5 + 13679 = 13684
- 71 + 13613 = 13684
- 107 + 13577 = 13684
- 131 + 13553 = 13684
- 197 + 13487 = 13684
- 227 + 13457 = 13684
- 233 + 13451 = 13684
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 95 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.116.
- Address
- 0.0.53.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.116
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,684 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -49¢ — about midway to G♯9)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -12¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -48¢ — about midway to A9)
The digit sequence 13684 first appears in π at position 76,581 of the decimal expansion (the 76,581ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.