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Number

13,049

13,049 is a prime, odd.

13,049 (thirteen thousand forty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x32F9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
94,031
Recamán's sequence
a(48,177) = 13,049
Square (n²)
170,276,401
Cube (n³)
2,221,936,756,649
Divisor count
2
σ(n) — sum of divisors
13,050
φ(n) — Euler's totient
13,048

Primality

13,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,049)
1 × 13049
First multiples
13,049 · 26,098 (double) · 39,147 · 52,196 · 65,245 · 78,294 · 91,343 · 104,392 · 117,441 · 130,490

Sums & aliquot sequence

As a sum of two squares: 40² + 107²
As consecutive integers: 6,524 + 6,525

Continued fraction of √n

√13,049 = [114; (4, 3, 3, 1, 3, 2, 1, 1, 2, 3, 1, 3, 3, 4, 228)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand forty-nine
Ordinal
13049th
Binary
11001011111001
Octal
31371
Hexadecimal
0x32F9
Base64
Mvk=
One's complement
52,486 (16-bit)
Scientific notation
1.3049 × 10⁴
As a duration
13,049 s = 3 hours, 37 minutes, 29 seconds
In other bases
ternary (3) 122220022
quaternary (4) 3023321
quinary (5) 404144
senary (6) 140225
septenary (7) 53021
nonary (9) 18808
undecimal (11) 9893
duodecimal (12) 7675
tridecimal (13) 5c2a
tetradecimal (14) 4a81
pentadecimal (15) 3cee

As an angle

13,049° = 36 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγμθʹ
Mayan (base 20)
𝋡·𝋬·𝋬·𝋩
Chinese
一萬三千零四十九
Chinese (financial)
壹萬參仟零肆拾玖
In other modern scripts
Eastern Arabic ١٣٠٤٩ Devanagari १३०४९ Bengali ১৩০৪৯ Tamil ௧௩௦௪௯ Thai ๑๓๐๔๙ Tibetan ༡༣༠༤༩ Khmer ១៣០៤៩ Lao ໑໓໐໔໙ Burmese ၁၃၀၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,049 = 3
e — Euler's number (e)
Digit 13,049 = 0
φ — Golden ratio (φ)
Digit 13,049 = 7
√2 — Pythagoras's (√2)
Digit 13,049 = 1
ln 2 — Natural log of 2
Digit 13,049 = 7
γ — Euler-Mascheroni (γ)
Digit 13,049 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,043 (gap of 6)
  • Next prime: 13,063 (gap of 14)

Pair status: sexy with 13043.

Unicode codepoint
Circled Katakana Re
U+32F9
Other symbol (So)

UTF-8 encoding: E3 8B B9 (3 bytes).

Hex color
#0032F9
RGB(0, 50, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.249.

Address
0.0.50.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.249

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

Musical pitch

Heard as a frequency, 13,049 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -32¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +6¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -30¢)
Position in π

The digit sequence 13049 first appears in π at position 187,247 of the decimal expansion (the 187,247ordinal-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.