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13,006

13,006 is a composite number, even.

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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
60,031
Recamán's sequence
a(48,263) = 13,006
Square (n²)
169,156,036
Cube (n³)
2,200,043,404,216
Divisor count
8
σ(n) — sum of divisors
22,320
φ(n) — Euler's totient
5,568
Sum of prime factors
938

Primality

Prime factorization: 2 × 7 × 929

Nearest primes: 13,003 (−3) · 13,007 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 929 · 1858 · 6503 (half) · 13006
Aliquot sum (sum of proper divisors): 9,314
Factor pairs (a × b = 13,006)
1 × 13006
2 × 6503
7 × 1858
14 × 929
First multiples
13,006 · 26,012 (double) · 39,018 · 52,024 · 65,030 · 78,036 · 91,042 · 104,048 · 117,054 · 130,060

Sums & aliquot sequence

As consecutive integers: 3,250 + 3,251 + 3,252 + 3,253 1,855 + 1,856 + … + 1,861 451 + 452 + … + 478
Aliquot sequence: 13,006 9,314 4,660 5,168 5,992 6,968 7,312 6,886 4,418 2,353 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
thirteen thousand six
Ordinal
13006th
Binary
11001011001110
Octal
31316
Hexadecimal
0x32CE
Base64
Ms4=
One's complement
52,529 (16-bit)
In other bases
ternary (3) 122211201
quaternary (4) 3023032
quinary (5) 404011
senary (6) 140114
septenary (7) 52630
nonary (9) 18751
undecimal (11) 9854
duodecimal (12) 763a
tridecimal (13) 5bc6
tetradecimal (14) 4a50
pentadecimal (15) 3cc1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϛʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋦
Chinese
一萬三千零六
Chinese (financial)
壹萬參仟零陸
In other modern scripts
Eastern Arabic ١٣٠٠٦ Devanagari १३००६ Bengali ১৩০০৬ Tamil ௧௩௦௦௬ Thai ๑๓๐๐๖ Tibetan ༡༣༠༠༦ Khmer ១៣០០៦ Lao ໑໓໐໐໖ Burmese ၁၃၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,006 = 4
e — Euler's number (e)
Digit 13,006 = 9
φ — Golden ratio (φ)
Digit 13,006 = 7
√2 — Pythagoras's (√2)
Digit 13,006 = 8
ln 2 — Natural log of 2
Digit 13,006 = 2
γ — Euler-Mascheroni (γ)
Digit 13,006 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13006, here are decompositions:

  • 3 + 13003 = 13006
  • 5 + 13001 = 13006
  • 23 + 12983 = 13006
  • 47 + 12959 = 13006
  • 53 + 12953 = 13006
  • 83 + 12923 = 13006
  • 89 + 12917 = 13006
  • 107 + 12899 = 13006

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Ev
U+32CE
Other symbol (So)

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

Hex color
#0032CE
RGB(0, 50, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.206.

Address
0.0.50.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.206

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

Position in π

The digit sequence 13006 first appears in π at position 105,184 of the decimal expansion (the 105,184ordinal-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.