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13,067

13,067 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,067 (thirteen thousand sixty-seven) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 73 × 179. Written other ways, in hexadecimal, 0x330B.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
76,031
Recamán's sequence
a(48,141) = 13,067
Square (n²)
170,746,489
Cube (n³)
2,231,144,371,763
Divisor count
4
σ(n) — sum of divisors
13,320
φ(n) — Euler's totient
12,816
Sum of prime factors
252

Primality

Prime factorization: 73 × 179

Nearest primes: 13,063 (−4) · 13,093 (+26)

Divisors & multiples

All divisors (4)
1 · 73 · 179 · 13067
Aliquot sum (sum of proper divisors): 253
Factor pairs (a × b = 13,067)
1 × 13067
73 × 179
First multiples
13,067 · 26,134 (double) · 39,201 · 52,268 · 65,335 · 78,402 · 91,469 · 104,536 · 117,603 · 130,670

Sums & aliquot sequence

As consecutive integers: 6,533 + 6,534 143 + 144 + … + 215 17 + 18 + … + 162
Aliquot sequence: 13,067 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√13,067 = [114; (3, 4, 1, 1, 1, 3, 9, 1, 1, 1, 113, 1, 1, 1, 9, 3, 1, 1, 1, 4, 3, 228)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand sixty-seven
Ordinal
13067th
Binary
11001100001011
Octal
31413
Hexadecimal
0x330B
Base64
Mws=
One's complement
52,468 (16-bit)
Scientific notation
1.3067 × 10⁴
As a duration
13,067 s = 3 hours, 37 minutes, 47 seconds
In other bases
ternary (3) 122220222
quaternary (4) 3030023
quinary (5) 404232
senary (6) 140255
septenary (7) 53045
nonary (9) 18828
undecimal (11) 98aa
duodecimal (12) 768b
tridecimal (13) 5c42
tetradecimal (14) 4a95
pentadecimal (15) 3d12
Palindromic in base 8

As an angle

13,067° = 36 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγξζʹ
Mayan (base 20)
𝋡·𝋬·𝋭·𝋧
Chinese
一萬三千零六十七
Chinese (financial)
壹萬參仟零陸拾柒
In other modern scripts
Eastern Arabic ١٣٠٦٧ Devanagari १३०६७ Bengali ১৩০৬৭ Tamil ௧௩௦௬௭ Thai ๑๓๐๖๗ Tibetan ༡༣༠༦༧ Khmer ១៣០៦៧ Lao ໑໓໐໖໗ Burmese ၁၃၀၆၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,067 = 3
e — Euler's number (e)
Digit 13,067 = 8
φ — Golden ratio (φ)
Digit 13,067 = 9
√2 — Pythagoras's (√2)
Digit 13,067 = 8
ln 2 — Natural log of 2
Digit 13,067 = 2
γ — Euler-Mascheroni (γ)
Digit 13,067 = 4

Also seen as

Unicode codepoint
Square Kairi
U+330B
Other symbol (So)

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

Hex color
#00330B
RGB(0, 51, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.11.

Address
0.0.51.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.11

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

Musical pitch

Heard as a frequency, 13,067 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -29¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +8¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -28¢)
Position in π

The digit sequence 13067 first appears in π at position 200,416 of the decimal expansion (the 200,416ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.