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Number

10,889

10,889 is a prime, odd.

10,889 (ten thousand eight 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, 0x2A89.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
98,801
Flips to (rotate 180°)
68,801
Recamán's sequence
a(174,481) = 10,889
Square (n²)
118,570,321
Cube (n³)
1,291,112,225,369
Divisor count
2
σ(n) — sum of divisors
10,890
φ(n) — Euler's totient
10,888

Primality

10,889 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10889
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,889)
1 × 10889
First multiples
10,889 · 21,778 (double) · 32,667 · 43,556 · 54,445 · 65,334 · 76,223 · 87,112 · 98,001 · 108,890

Sums & aliquot sequence

As a sum of two squares: 67² + 80²
As consecutive integers: 5,444 + 5,445

Continued fraction of √n

√10,889 = [104; (2, 1, 5, 1, 5, 1, 7, 2, 41, 3, 1, 2, 2, 1, 3, 41, 2, 7, 1, 5, 1, 5, 1, 2, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
ten thousand eight hundred eighty-nine
Ordinal
10889th
Binary
10101010001001
Octal
25211
Hexadecimal
0x2A89
Base64
Kok=
One's complement
54,646 (16-bit)
Scientific notation
1.0889 × 10⁴
As a duration
10,889 s = 3 hours, 1 minute, 29 seconds
In other bases
ternary (3) 112221022
quaternary (4) 2222021
quinary (5) 322024
senary (6) 122225
septenary (7) 43514
nonary (9) 15838
undecimal (11) 81aa
duodecimal (12) 6375
tridecimal (13) 4c58
tetradecimal (14) 3d7b
pentadecimal (15) 335e

As an angle

10,889° = 30 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιωπθʹ
Mayan (base 20)
𝋡·𝋧·𝋤·𝋩
Chinese
一萬零八百八十九
Chinese (financial)
壹萬零捌佰捌拾玖
In other modern scripts
Eastern Arabic ١٠٨٨٩ Devanagari १०८८९ Bengali ১০৮৮৯ Tamil ௧௦௮௮௯ Thai ๑๐๘๘๙ Tibetan ༡༠༨༨༩ Khmer ១០៨៨៩ Lao ໑໐໘໘໙ Burmese ၁၀၈၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,889 = 7
e — Euler's number (e)
Digit 10,889 = 4
φ — Golden ratio (φ)
Digit 10,889 = 6
√2 — Pythagoras's (√2)
Digit 10,889 = 0
ln 2 — Natural log of 2
Digit 10,889 = 9
γ — Euler-Mascheroni (γ)
Digit 10,889 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,883 (gap of 6)
  • Next prime: 10,891 (gap of 2)

Pair status: twin with 10891, sexy with 10883.

Unicode codepoint
Less-Than And Not Approximate
U+2A89
Math symbol (Sm)

UTF-8 encoding: E2 AA 89 (3 bytes).

Hex color
#002A89
RGB(0, 42, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.137.

Address
0.0.42.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.137

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

Musical pitch

Heard as a frequency, 10,889 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -45¢ — about midway to E9)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -7¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -44¢)
Position in π

The digit sequence 10889 first appears in π at position 30,868 of the decimal expansion (the 30,868ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.