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Number

13,063

13,063 is a prime, odd.

13,063 (thirteen thousand sixty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3307.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
36,031
Recamán's sequence
a(48,149) = 13,063
Square (n²)
170,641,969
Cube (n³)
2,229,096,041,047
Divisor count
2
σ(n) — sum of divisors
13,064
φ(n) — Euler's totient
13,062

Primality

13,063 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13063
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,063)
1 × 13063
First multiples
13,063 · 26,126 (double) · 39,189 · 52,252 · 65,315 · 78,378 · 91,441 · 104,504 · 117,567 · 130,630

Sums & aliquot sequence

As consecutive integers: 6,531 + 6,532

Continued fraction of √n

√13,063 = [114; (3, 2, 2, 5, 32, 2, 7, 1, 37, 4, 1, 1, 1, 3, 3, 2, 1, 4, 1, 2, 1, 11, 1, 24, …)]

Representations

In words
thirteen thousand sixty-three
Ordinal
13063rd
Binary
11001100000111
Octal
31407
Hexadecimal
0x3307
Base64
Mwc=
One's complement
52,472 (16-bit)
Scientific notation
1.3063 × 10⁴
As a duration
13,063 s = 3 hours, 37 minutes, 43 seconds
In other bases
ternary (3) 122220211
quaternary (4) 3030013
quinary (5) 404223
senary (6) 140251
septenary (7) 53041
nonary (9) 18824
undecimal (11) 98a6
duodecimal (12) 7687
tridecimal (13) 5c3b
tetradecimal (14) 4a91
pentadecimal (15) 3d0d

As an angle

13,063° = 36 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγξγʹ
Mayan (base 20)
𝋡·𝋬·𝋭·𝋣
Chinese
一萬三千零六十三
Chinese (financial)
壹萬參仟零陸拾參
In other modern scripts
Eastern Arabic ١٣٠٦٣ Devanagari १३०६३ Bengali ১৩০৬৩ Tamil ௧௩௦௬௩ Thai ๑๓๐๖๓ Tibetan ༡༣༠༦༣ Khmer ១៣០៦៣ Lao ໑໓໐໖໓ Burmese ၁၃၀၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,063 = 4
e — Euler's number (e)
Digit 13,063 = 2
φ — Golden ratio (φ)
Digit 13,063 = 1
√2 — Pythagoras's (√2)
Digit 13,063 = 9
ln 2 — Natural log of 2
Digit 13,063 = 5
γ — Euler-Mascheroni (γ)
Digit 13,063 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,049 (gap of 14)
  • Next prime: 13,093 (gap of 30)
Unicode codepoint
Square Esukuudo
U+3307
Other symbol (So)

UTF-8 encoding: E3 8C 87 (3 bytes).

Hex color
#003307
RGB(0, 51, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.7.

Address
0.0.51.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.7

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

Musical pitch

Heard as a frequency, 13,063 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -30¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +8¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -29¢)
Position in π

The digit sequence 13063 first appears in π at position 86,233 of the decimal expansion (the 86,233ordinal-suffix:rd 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.