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Number

11,059

11,059 is a prime, odd.

11,059 (eleven thousand fifty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2B33.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
95,011
Recamán's sequence
a(174,141) = 11,059
Square (n²)
122,301,481
Cube (n³)
1,352,532,078,379
Divisor count
2
σ(n) — sum of divisors
11,060
φ(n) — Euler's totient
11,058

Primality

11,059 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11059
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,059)
1 × 11059
First multiples
11,059 · 22,118 (double) · 33,177 · 44,236 · 55,295 · 66,354 · 77,413 · 88,472 · 99,531 · 110,590

Sums & aliquot sequence

As consecutive integers: 5,529 + 5,530

Continued fraction of √n

√11,059 = [105; (6, 5, 1, 1, 13, 2, 10, 1, 1, 2, 2, 1, 3, 1, 3, 2, 1, 34, 2, 1, 3, 2, 4, 1, …)]

Representations

In words
eleven thousand fifty-nine
Ordinal
11059th
Binary
10101100110011
Octal
25463
Hexadecimal
0x2B33
Base64
KzM=
One's complement
54,476 (16-bit)
Scientific notation
1.1059 × 10⁴
As a duration
11,059 s = 3 hours, 4 minutes, 19 seconds
In other bases
ternary (3) 120011121
quaternary (4) 2230303
quinary (5) 323214
senary (6) 123111
septenary (7) 44146
nonary (9) 16147
undecimal (11) 8344
duodecimal (12) 6497
tridecimal (13) 5059
tetradecimal (14) 405d
pentadecimal (15) 3424

As an angle

11,059° = 30 × 360° + 259°
259° ≈ 4.52 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιανθʹ
Mayan (base 20)
𝋡·𝋧·𝋬·𝋳
Chinese
一萬一千零五十九
Chinese (financial)
壹萬壹仟零伍拾玖
In other modern scripts
Eastern Arabic ١١٠٥٩ Devanagari ११०५९ Bengali ১১০৫৯ Tamil ௧௧௦௫௯ Thai ๑๑๐๕๙ Tibetan ༡༡༠༥༩ Khmer ១១០៥៩ Lao ໑໑໐໕໙ Burmese ၁၁၀၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 11,059 = 3
e — Euler's number (e)
Digit 11,059 = 1
φ — Golden ratio (φ)
Digit 11,059 = 5
√2 — Pythagoras's (√2)
Digit 11,059 = 0
ln 2 — Natural log of 2
Digit 11,059 = 6
γ — Euler-Mascheroni (γ)
Digit 11,059 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,057 (gap of 2)
  • Next prime: 11,069 (gap of 10)

Pair status: twin with 11057.

Unicode codepoint
Long Leftwards Squiggle Arrow
U+2B33
Math symbol (Sm)

UTF-8 encoding: E2 AC B3 (3 bytes).

Hex color
#002B33
RGB(0, 43, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.51.

Address
0.0.43.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.43.51

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

Musical pitch

Heard as a frequency, 11,059 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -18¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +20¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -17¢)
Position in π

The digit sequence 11059 first appears in π at position 43,616 of the decimal expansion (the 43,616ordinal-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.