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Number

5,689

5,689 is a prime, odd.

5,689 (five thousand six hundred eighty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1639.

Arithmetic Number Ascending Digits Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
28
Digit product
2,160
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
9,865
Recamán's sequence
a(3,626) = 5,689
Square (n²)
32,364,721
Cube (n³)
184,122,897,769
Divisor count
2
σ(n) — sum of divisors
5,690
φ(n) — Euler's totient
5,688

Primality

5,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,689)
1 × 5689
First multiples
5,689 · 11,378 (double) · 17,067 · 22,756 · 28,445 · 34,134 · 39,823 · 45,512 · 51,201 · 56,890

Sums & aliquot sequence

As a sum of two squares: 8² + 75²
As consecutive integers: 2,844 + 2,845

Continued fraction of √n

√5,689 = [75; (2, 2, 1, 5, 1, 5, 2, 3, 3, 4, 1, 1, 3, 1, 1, 9, 2, 49, 1, 4, 4, 1, 1, 18, …)]

Representations

In words
five thousand six hundred eighty-nine
Ordinal
5689th
Binary
1011000111001
Octal
13071
Hexadecimal
0x1639
Base64
Fjk=
One's complement
59,846 (16-bit)
Scientific notation
5.689 × 10³
As a duration
5,689 s = 1 hour, 34 minutes, 49 seconds
In other bases
ternary (3) 21210201
quaternary (4) 1120321
quinary (5) 140224
senary (6) 42201
septenary (7) 22405
nonary (9) 7721
undecimal (11) 4302
duodecimal (12) 3361
tridecimal (13) 2788
tetradecimal (14) 2105
pentadecimal (15) 1a44

As an angle

5,689° = 15 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εχπθʹ
Mayan (base 20)
𝋮·𝋤·𝋩
Chinese
五千六百八十九
Chinese (financial)
伍仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ٥٦٨٩ Devanagari ५६८९ Bengali ৫৬৮৯ Tamil ௫௬௮௯ Thai ๕๖๘๙ Tibetan ༥༦༨༩ Khmer ៥៦៨៩ Lao ໕໖໘໙ Burmese ၅၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,689 = 3
e — Euler's number (e)
Digit 5,689 = 9
φ — Golden ratio (φ)
Digit 5,689 = 1
√2 — Pythagoras's (√2)
Digit 5,689 = 8
ln 2 — Natural log of 2
Digit 5,689 = 5
γ — Euler-Mascheroni (γ)
Digit 5,689 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,683 (gap of 6)
  • Next prime: 5,693 (gap of 4)

Pair status: cousin with 5693, sexy with 5683.

Unicode codepoint
Canadian Syllabics Carrier Tlha
U+1639
Other letter (Lo)

UTF-8 encoding: E1 98 B9 (3 bytes).

Hex color
#001639
RGB(0, 22, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.57.

Address
0.0.22.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.57

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

Musical pitch

Heard as a frequency, 5,689 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +31¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -31¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +32¢)
Position in π

The digit sequence 5689 first appears in π at position 11,009 of the decimal expansion (the 11,009ordinal-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.