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Number

11,093

11,093 is a prime, odd.

11,093 (eleven thousand ninety-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2B55.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
39,011
Recamán's sequence
a(174,073) = 11,093
Square (n²)
123,054,649
Cube (n³)
1,365,045,221,357
Divisor count
2
σ(n) — sum of divisors
11,094
φ(n) — Euler's totient
11,092

Primality

11,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,093)
1 × 11093
First multiples
11,093 · 22,186 (double) · 33,279 · 44,372 · 55,465 · 66,558 · 77,651 · 88,744 · 99,837 · 110,930

Sums & aliquot sequence

As a sum of two squares: 22² + 103²
As consecutive integers: 5,546 + 5,547

Continued fraction of √n

√11,093 = [105; (3, 10, 1, 3, 15, 1, 18, 4, 1, 2, 1, 3, 3, 5, 2, 1, 1, 2, 1, 1, 52, 12, 2, 1, …)]

Representations

In words
eleven thousand ninety-three
Ordinal
11093rd
Binary
10101101010101
Octal
25525
Hexadecimal
0x2B55
Base64
K1U=
One's complement
54,442 (16-bit)
Scientific notation
1.1093 × 10⁴
As a duration
11,093 s = 3 hours, 4 minutes, 53 seconds
In other bases
ternary (3) 120012212
quaternary (4) 2231111
quinary (5) 323333
senary (6) 123205
septenary (7) 44225
nonary (9) 16185
undecimal (11) 8375
duodecimal (12) 6505
tridecimal (13) 5084
tetradecimal (14) 4085
pentadecimal (15) 3448

As an angle

11,093° = 30 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιαϟγʹ
Mayan (base 20)
𝋡·𝋧·𝋮·𝋭
Chinese
一萬一千零九十三
Chinese (financial)
壹萬壹仟零玖拾參
In other modern scripts
Eastern Arabic ١١٠٩٣ Devanagari ११०९३ Bengali ১১০৯৩ Tamil ௧௧௦௯௩ Thai ๑๑๐๙๓ Tibetan ༡༡༠༩༣ Khmer ១១០៩៣ Lao ໑໑໐໙໓ Burmese ၁၁၀၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 11,093 = 8
e — Euler's number (e)
Digit 11,093 = 8
φ — Golden ratio (φ)
Digit 11,093 = 0
√2 — Pythagoras's (√2)
Digit 11,093 = 4
ln 2 — Natural log of 2
Digit 11,093 = 5
γ — Euler-Mascheroni (γ)
Digit 11,093 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,087 (gap of 6)
  • Next prime: 11,113 (gap of 20)

Pair status: sexy with 11087.

Unicode codepoint
Heavy Large Circle
U+2B55
Other symbol (So)

UTF-8 encoding: E2 AD 95 (3 bytes).

Hex color
#002B55
RGB(0, 43, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.85.

Address
0.0.43.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.43.85

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

Musical pitch

Heard as a frequency, 11,093 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -13¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -12¢)
Position in π

The digit sequence 11093 first appears in π at position 91,014 of the decimal expansion (the 91,014ordinal-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.