Number

13,043

13,043 is a prime, odd.

13,043 (thirteen thousand forty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x32F3.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

13,031 13,032 13,033 13,034 13,035 13,036 13,037 13,038 13,039 13,040 13,041 13,042 13,043 13,044 13,045 13,046 13,047 13,048 13,049 13,050 13,051 13,052 13,053 13,054 13,055

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 34,031
Recamán's sequence: a(48,189) = 13,043
Square (n²): 170,119,849
Cube (n³): 2,218,873,190,507
Divisor count: 2
σ(n) — sum of divisors: 13,044
φ(n) — Euler's totient: 13,042

Primality

13,043 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13043

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,043)

1 × 13043

First multiples

13,043 · 26,086 (double) · 39,129 · 52,172 · 65,215 · 78,258 · 91,301 · 104,344 · 117,387 · 130,430

Sums & aliquot sequence

As consecutive integers: 6,521 + 6,522

Continued fraction of √n

√13,043 = [114; (4, 1, 5, 1, 11, 5, 1, 12, 1, 1, 1, 1, 113, 1, 1, 1, 1, 12, 1, 5, 11, 1, 5, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand forty-three
Ordinal: 13043rd
Binary: 11001011110011
Octal: 31363
Hexadecimal: 0x32F3
Base64: MvM=
One's complement: 52,492 (16-bit)
Scientific notation: 1.3043 × 10⁴
As a duration: 13,043 s = 3 hours, 37 minutes, 23 seconds

In other bases

ternary (3) 122220002

quaternary (4) 3023303

quinary (5) 404133

senary (6) 140215

septenary (7) 53012

nonary (9) 18802

undecimal (11) 9888

duodecimal (12) 766b

tridecimal (13) 5c24

tetradecimal (14) 4a79

pentadecimal (15) 3ce8

As an angle

13,043° = 36 × 360° + 83°

83° ≈ 1.449 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγμγʹ
Mayan (base 20): 𝋡·𝋬·𝋬·𝋣
Chinese: 一萬三千零四十三
Chinese (financial): 壹萬參仟零肆拾參

In other modern scripts

Eastern Arabic ١٣٠٤٣ Devanagari १३०४३ Bengali ১৩০৪৩ Tamil ௧௩௦௪௩ Thai ๑๓๐๔๓ Tibetan ༡༣༠༤༣ Khmer ១៣០៤៣ Lao ໑໓໐໔໓ Burmese ၁၃၀၄၃

Digit at this position in famous constants

π — Pi (π): Digit 13,043 = 2
e — Euler's number (e): Digit 13,043 = 9
φ — Golden ratio (φ): Digit 13,043 = 4
√2 — Pythagoras's (√2): Digit 13,043 = 9
ln 2 — Natural log of 2: Digit 13,043 = 0
γ — Euler-Mascheroni (γ): Digit 13,043 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,037 (gap of 6)
Next prime: 13,049 (gap of 6)

Pair status: sexy with 13037, sexy with 13049.

Unicode codepoint

㋳

Circled Katakana Ya

U+32F3

Other symbol (So)

UTF-8 encoding: E3 8B B3 (3 bytes).

Lookup U+32F3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032F3

RGB(0, 50, 243)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.243.

Address: 0.0.50.243
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.243

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

Musical pitch

Heard as a frequency, 13,043 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -32¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -31¢)

Position in π

The digit sequence 13043 first appears in π at position 22,452 of the decimal expansion (the 22,452ordinal-suffix:nd 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.

Look up 13043 on Pi Search ↗