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Number

11,353

11,353 is a prime, odd.

11,353 (eleven thousand three hundred fifty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2C59.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
45
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
35,311
Recamán's sequence
a(93,266) = 11,353
Square (n²)
128,890,609
Cube (n³)
1,463,295,083,977
Divisor count
2
σ(n) — sum of divisors
11,354
φ(n) — Euler's totient
11,352

Primality

11,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,353)
1 × 11353
First multiples
11,353 · 22,706 (double) · 34,059 · 45,412 · 56,765 · 68,118 · 79,471 · 90,824 · 102,177 · 113,530

Sums & aliquot sequence

As a sum of two squares: 52² + 93²
As consecutive integers: 5,676 + 5,677

Continued fraction of √n

√11,353 = [106; (1, 1, 4, 2, 5, 70, 1, 5, 1, 2, 16, 23, 1, 1, 1, 1, 1, 1, 3, 1, 4, 1, 2, 7, …)]

Representations

In words
eleven thousand three hundred fifty-three
Ordinal
11353rd
Binary
10110001011001
Octal
26131
Hexadecimal
0x2C59
Base64
LFk=
One's complement
54,182 (16-bit)
Scientific notation
1.1353 × 10⁴
As a duration
11,353 s = 3 hours, 9 minutes, 13 seconds
In other bases
ternary (3) 120120111
quaternary (4) 2301121
quinary (5) 330403
senary (6) 124321
septenary (7) 45046
nonary (9) 16514
undecimal (11) 8591
duodecimal (12) 66a1
tridecimal (13) 5224
tetradecimal (14) 41cd
pentadecimal (15) 356d

As an angle

11,353° = 31 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιατνγʹ
Mayan (base 20)
𝋡·𝋨·𝋧·𝋭
Chinese
一萬一千三百五十三
Chinese (financial)
壹萬壹仟參佰伍拾參
In other modern scripts
Eastern Arabic ١١٣٥٣ Devanagari ११३५३ Bengali ১১৩৫৩ Tamil ௧௧௩௫௩ Thai ๑๑๓๕๓ Tibetan ༡༡༣༥༣ Khmer ១១៣៥៣ Lao ໑໑໓໕໓ Burmese ၁၁၃၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 11,353 = 3
e — Euler's number (e)
Digit 11,353 = 4
φ — Golden ratio (φ)
Digit 11,353 = 1
√2 — Pythagoras's (√2)
Digit 11,353 = 6
ln 2 — Natural log of 2
Digit 11,353 = 7
γ — Euler-Mascheroni (γ)
Digit 11,353 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,351 (gap of 2)
  • Next prime: 11,369 (gap of 16)

Pair status: twin with 11351.

Unicode codepoint
Glagolitic Small Letter Iotated Big Yus
U+2C59
Lowercase letter (Ll)

UTF-8 encoding: E2 B1 99 (3 bytes).

Hex color
#002C59
RGB(0, 44, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.44.89.

Address
0.0.44.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.44.89

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

Musical pitch

Heard as a frequency, 11,353 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, -35¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, +29¢)
Position in π

The digit sequence 11353 first appears in π at position 127,494 of the decimal expansion (the 127,494ordinal-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.