5,684
5,684 is a composite number, even.
5,684 (five thousand six hundred eighty-four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 29. Its proper divisors sum to 6,286, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1634.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 23
- Digit product
- 960
- Digital root
- 5
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,865
- Recamán's sequence
- a(3,616) = 5,684
- Square (n²)
- 32,307,856
- Cube (n³)
- 183,637,853,504
- Divisor count
- 18
- σ(n) — sum of divisors
- 11,970
- φ(n) — Euler's totient
- 2,352
- Sum of prime factors
- 47
Primality
Prime factorization: 2 2 × 7 2 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√5,684 = [75; (2, 1, 1, 4, 1, 1, 2, 150)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- five thousand six hundred eighty-four
- Ordinal
- 5684th
- Binary
- 1011000110100
- Octal
- 13064
- Hexadecimal
- 0x1634
- Base64
- FjQ=
- One's complement
- 59,851 (16-bit)
- Scientific notation
- 5.684 × 10³
- As a duration
- 5,684 s = 1 hour, 34 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵εχπδʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋤
- Chinese
- 五千六百八十四
- Chinese (financial)
- 伍仟陸佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 5,684 = 5
- e — Euler's number (e)
- Digit 5,684 = 5
- φ — Golden ratio (φ)
- Digit 5,684 = 7
- √2 — Pythagoras's (√2)
- Digit 5,684 = 3
- ln 2 — Natural log of 2
- Digit 5,684 = 8
- γ — Euler-Mascheroni (γ)
- Digit 5,684 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5684, here are decompositions:
- 31 + 5653 = 5684
- 37 + 5647 = 5684
- 43 + 5641 = 5684
- 61 + 5623 = 5684
- 103 + 5581 = 5684
- 127 + 5557 = 5684
- 157 + 5527 = 5684
- 163 + 5521 = 5684
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 98 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.52.
- Address
- 0.0.22.52
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.22.52
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 5,684 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +30¢)
- Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -33¢)
- Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +31¢)
The digit sequence 5684 first appears in π at position 14,178 of the decimal expansion (the 14,178ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.