number.wiki
Number

11,689

11,689 is a prime, odd.

11,689 (eleven thousand six hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2DA9.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
432
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
98,611
Flips to (rotate 180°)
68,911
Recamán's sequence
a(3,098) = 11,689
Square (n²)
136,632,721
Cube (n³)
1,597,099,875,769
Divisor count
2
σ(n) — sum of divisors
11,690
φ(n) — Euler's totient
11,688

Primality

11,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,689)
1 × 11689
First multiples
11,689 · 23,378 (double) · 35,067 · 46,756 · 58,445 · 70,134 · 81,823 · 93,512 · 105,201 · 116,890

Sums & aliquot sequence

As a sum of two squares: 5² + 108²
As consecutive integers: 5,844 + 5,845

Continued fraction of √n

√11,689 = [108; (8, 1, 1, 1, 4, 2, 1, 2, 71, 1, 2, 2, 1, 1, 4, 1, 2, 5, 2, 23, 1, 1, 3, 6, …)]

Representations

In words
eleven thousand six hundred eighty-nine
Ordinal
11689th
Binary
10110110101001
Octal
26651
Hexadecimal
0x2DA9
Base64
Lak=
One's complement
53,846 (16-bit)
Scientific notation
1.1689 × 10⁴
As a duration
11,689 s = 3 hours, 14 minutes, 49 seconds
In other bases
ternary (3) 121000221
quaternary (4) 2312221
quinary (5) 333224
senary (6) 130041
septenary (7) 46036
nonary (9) 17027
undecimal (11) 8867
duodecimal (12) 6921
tridecimal (13) 5422
tetradecimal (14) 438d
pentadecimal (15) 36e4

As an angle

11,689° = 32 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιαχπθʹ
Mayan (base 20)
𝋡·𝋩·𝋤·𝋩
Chinese
一萬一千六百八十九
Chinese (financial)
壹萬壹仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ١١٦٨٩ Devanagari ११६८९ Bengali ১১৬৮৯ Tamil ௧௧௬௮௯ Thai ๑๑๖๘๙ Tibetan ༡༡༦༨༩ Khmer ១១៦៨៩ Lao ໑໑໖໘໙ Burmese ၁၁၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 11,689 = 0
e — Euler's number (e)
Digit 11,689 = 8
φ — Golden ratio (φ)
Digit 11,689 = 2
√2 — Pythagoras's (√2)
Digit 11,689 = 8
ln 2 — Natural log of 2
Digit 11,689 = 6
γ — Euler-Mascheroni (γ)
Digit 11,689 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,681 (gap of 8)
  • Next prime: 11,699 (gap of 10)
Unicode codepoint
Ethiopic Syllable Ccu
U+2DA9
Other letter (Lo)

UTF-8 encoding: E2 B6 A9 (3 bytes).

Hex color
#002DA9
RGB(0, 45, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.45.169.

Address
0.0.45.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.45.169

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

Musical pitch

Heard as a frequency, 11,689 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, -21¢)
Position in π

The digit sequence 11689 first appears in π at position 155,418 of the decimal expansion (the 155,418ordinal-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.