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Number

10,891

10,891 is a prime, odd.

10,891 (ten thousand eight hundred ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A8B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
19,801
Flips to (rotate 180°)
16,801
Recamán's sequence
a(174,477) = 10,891
Square (n²)
118,613,881
Cube (n³)
1,291,823,777,971
Divisor count
2
σ(n) — sum of divisors
10,892
φ(n) — Euler's totient
10,890

Primality

10,891 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10891
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,891)
1 × 10891
First multiples
10,891 · 21,782 (double) · 32,673 · 43,564 · 54,455 · 65,346 · 76,237 · 87,128 · 98,019 · 108,910

Sums & aliquot sequence

As consecutive integers: 5,445 + 5,446

Continued fraction of √n

√10,891 = [104; (2, 1, 3, 1, 1, 34, 4, 2, 2, 2, 1, 22, 2, 15, 1, 1, 3, 3, 1, 1, 2, 1, 1, 2, …)]

Representations

In words
ten thousand eight hundred ninety-one
Ordinal
10891st
Binary
10101010001011
Octal
25213
Hexadecimal
0x2A8B
Base64
Kos=
One's complement
54,644 (16-bit)
Scientific notation
1.0891 × 10⁴
As a duration
10,891 s = 3 hours, 1 minute, 31 seconds
In other bases
ternary (3) 112221101
quaternary (4) 2222023
quinary (5) 322031
senary (6) 122231
septenary (7) 43516
nonary (9) 15841
undecimal (11) 8201
duodecimal (12) 6377
tridecimal (13) 4c5a
tetradecimal (14) 3d7d
pentadecimal (15) 3361

As an angle

10,891° = 30 × 360° + 91°
91° ≈ 1.588 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιωϟαʹ
Mayan (base 20)
𝋡·𝋧·𝋤·𝋫
Chinese
一萬零八百九十一
Chinese (financial)
壹萬零捌佰玖拾壹
In other modern scripts
Eastern Arabic ١٠٨٩١ Devanagari १०८९१ Bengali ১০৮৯১ Tamil ௧௦௮௯௧ Thai ๑๐๘๙๑ Tibetan ༡༠༨༩༡ Khmer ១០៨៩១ Lao ໑໐໘໙໑ Burmese ၁၀၈၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,891 = 6
e — Euler's number (e)
Digit 10,891 = 9
φ — Golden ratio (φ)
Digit 10,891 = 3
√2 — Pythagoras's (√2)
Digit 10,891 = 4
ln 2 — Natural log of 2
Digit 10,891 = 6
γ — Euler-Mascheroni (γ)
Digit 10,891 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,889 (gap of 2)
  • Next prime: 10,903 (gap of 12)

Pair status: twin with 10889.

Unicode codepoint
Less-Than Above Double-Line Equal Above Greater-Than
U+2A8B
Math symbol (Sm)

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

Hex color
#002A8B
RGB(0, 42, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.139.

Address
0.0.42.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.139

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

Musical pitch

Heard as a frequency, 10,891 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, -43¢)
Position in π

The digit sequence 10891 first appears in π at position 148,853 of the decimal expansion (the 148,853ordinal-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.