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Number

5,659

5,659 is a prime, odd.

5,659 (five thousand six hundred fifty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x161B.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
25
Digit product
1,350
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
9,565
Recamán's sequence
a(3,566) = 5,659
Square (n²)
32,024,281
Cube (n³)
181,225,406,179
Divisor count
2
σ(n) — sum of divisors
5,660
φ(n) — Euler's totient
5,658

Primality

5,659 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5659
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,659)
1 × 5659
First multiples
5,659 · 11,318 (double) · 16,977 · 22,636 · 28,295 · 33,954 · 39,613 · 45,272 · 50,931 · 56,590

Sums & aliquot sequence

As consecutive integers: 2,829 + 2,830

Continued fraction of √n

√5,659 = [75; (4, 2, 2, 1, 1, 3, 2, 1, 2, 24, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 10, 1, 15, …)]

Representations

In words
five thousand six hundred fifty-nine
Ordinal
5659th
Binary
1011000011011
Octal
13033
Hexadecimal
0x161B
Base64
Fhs=
One's complement
59,876 (16-bit)
Scientific notation
5.659 × 10³
As a duration
5,659 s = 1 hour, 34 minutes, 19 seconds
In other bases
ternary (3) 21202121
quaternary (4) 1120123
quinary (5) 140114
senary (6) 42111
septenary (7) 22333
nonary (9) 7677
undecimal (11) 4285
duodecimal (12) 3337
tridecimal (13) 2764
tetradecimal (14) 20c3
pentadecimal (15) 1a24

As an angle

5,659° = 15 × 360° + 259°
259° ≈ 4.52 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εχνθʹ
Mayan (base 20)
𝋮·𝋢·𝋳
Chinese
五千六百五十九
Chinese (financial)
伍仟陸佰伍拾玖
In other modern scripts
Eastern Arabic ٥٦٥٩ Devanagari ५६५९ Bengali ৫৬৫৯ Tamil ௫௬௫௯ Thai ๕๖๕๙ Tibetan ༥༦༥༩ Khmer ៥៦៥៩ Lao ໕໖໕໙ Burmese ၅၆၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,659 = 3
e — Euler's number (e)
Digit 5,659 = 9
φ — Golden ratio (φ)
Digit 5,659 = 1
√2 — Pythagoras's (√2)
Digit 5,659 = 6
ln 2 — Natural log of 2
Digit 5,659 = 4
γ — Euler-Mascheroni (γ)
Digit 5,659 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,657 (gap of 2)
  • Next prime: 5,669 (gap of 10)

Pair status: twin with 5657.

Unicode codepoint
Canadian Syllabics Carrier Ja
U+161B
Other letter (Lo)

UTF-8 encoding: E1 98 9B (3 bytes).

Hex color
#00161B
RGB(0, 22, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.27.

Address
0.0.22.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.27

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

Musical pitch

Heard as a frequency, 5,659 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +23¢)
Position in π

The digit sequence 5659 first appears in π at position 2,453 of the decimal expansion (the 2,453ordinal-suffix:rd 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.