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Number

5,683

5,683 is a prime, odd.

5,683 (five thousand six hundred eighty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1633.

Arithmetic Number Cube-Free Deficient Number Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
720
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
3,865
Recamán's sequence
a(3,614) = 5,683
Square (n²)
32,296,489
Cube (n³)
183,540,946,987
Divisor count
2
σ(n) — sum of divisors
5,684
φ(n) — Euler's totient
5,682

Primality

5,683 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5683
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,683)
1 × 5683
First multiples
5,683 · 11,366 (double) · 17,049 · 22,732 · 28,415 · 34,098 · 39,781 · 45,464 · 51,147 · 56,830

Sums & aliquot sequence

As consecutive integers: 2,841 + 2,842

Continued fraction of √n

√5,683 = [75; (2, 1, 1, 2, 5, 5, 75, 5, 5, 2, 1, 1, 2, 150)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five thousand six hundred eighty-three
Ordinal
5683rd
Binary
1011000110011
Octal
13063
Hexadecimal
0x1633
Base64
FjM=
One's complement
59,852 (16-bit)
Scientific notation
5.683 × 10³
As a duration
5,683 s = 1 hour, 34 minutes, 43 seconds
In other bases
ternary (3) 21210111
quaternary (4) 1120303
quinary (5) 140213
senary (6) 42151
septenary (7) 22366
nonary (9) 7714
undecimal (11) 42a7
duodecimal (12) 3357
tridecimal (13) 2782
tetradecimal (14) 20dd
pentadecimal (15) 1a3d

As an angle

5,683° = 15 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵εχπγʹ
Mayan (base 20)
𝋮·𝋤·𝋣
Chinese
五千六百八十三
Chinese (financial)
伍仟陸佰捌拾參
In other modern scripts
Eastern Arabic ٥٦٨٣ Devanagari ५६८३ Bengali ৫৬৮৩ Tamil ௫௬௮௩ Thai ๕๖๘๓ Tibetan ༥༦༨༣ Khmer ៥៦៨៣ Lao ໕໖໘໓ Burmese ၅၆၈၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,683 = 0
e — Euler's number (e)
Digit 5,683 = 1
φ — Golden ratio (φ)
Digit 5,683 = 1
√2 — Pythagoras's (√2)
Digit 5,683 = 8
ln 2 — Natural log of 2
Digit 5,683 = 5
γ — Euler-Mascheroni (γ)
Digit 5,683 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,669 (gap of 14)
  • Next prime: 5,689 (gap of 6)

Pair status: sexy with 5689.

Unicode codepoint
Canadian Syllabics Carrier Lha
U+1633
Other letter (Lo)

UTF-8 encoding: E1 98 B3 (3 bytes).

Hex color
#001633
RGB(0, 22, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.51.

Address
0.0.22.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.51

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 5,683 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +31¢)
Position in π

The digit sequence 5683 first appears in π at position 10,486 of the decimal expansion (the 10,486ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.