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13,016

13,016 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
61,031
Recamán's sequence
a(48,243) = 13,016
Square (n²)
169,416,256
Cube (n³)
2,205,121,988,096
Divisor count
8
σ(n) — sum of divisors
24,420
φ(n) — Euler's totient
6,504
Sum of prime factors
1,633

Primality

Prime factorization: 2 3 × 1627

Nearest primes: 13,009 (−7) · 13,033 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1627 · 3254 · 6508 (half) · 13016
Aliquot sum (sum of proper divisors): 11,404
Factor pairs (a × b = 13,016)
1 × 13016
2 × 6508
4 × 3254
8 × 1627
First multiples
13,016 · 26,032 (double) · 39,048 · 52,064 · 65,080 · 78,096 · 91,112 · 104,128 · 117,144 · 130,160

Sums & aliquot sequence

As consecutive integers: 806 + 807 + … + 821
Aliquot sequence: 13,016 11,404 8,560 11,528 12,232 12,968 11,362 8,798 4,810 4,766 2,386 1,196 1,156 993 335 73 1 — unresolved within range

Representations

In words
thirteen thousand sixteen
Ordinal
13016th
Binary
11001011011000
Octal
31330
Hexadecimal
0x32D8
Base64
Mtg=
One's complement
52,519 (16-bit)
In other bases
ternary (3) 122212002
quaternary (4) 3023120
quinary (5) 404031
senary (6) 140132
septenary (7) 52643
nonary (9) 18762
undecimal (11) 9863
duodecimal (12) 7648
tridecimal (13) 5c03
tetradecimal (14) 4a5a
pentadecimal (15) 3ccb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγιϛʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋰
Chinese
一萬三千零一十六
Chinese (financial)
壹萬參仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣٠١٦ Devanagari १३०१६ Bengali ১৩০১৬ Tamil ௧௩௦௧௬ Thai ๑๓๐๑๖ Tibetan ༡༣༠༡༦ Khmer ១៣០១៦ Lao ໑໓໐໑໖ Burmese ၁၃၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,016 = 3
e — Euler's number (e)
Digit 13,016 = 9
φ — Golden ratio (φ)
Digit 13,016 = 0
√2 — Pythagoras's (√2)
Digit 13,016 = 0
ln 2 — Natural log of 2
Digit 13,016 = 3
γ — Euler-Mascheroni (γ)
Digit 13,016 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13016, here are decompositions:

  • 7 + 13009 = 13016
  • 13 + 13003 = 13016
  • 37 + 12979 = 13016
  • 43 + 12973 = 13016
  • 97 + 12919 = 13016
  • 109 + 12907 = 13016
  • 127 + 12889 = 13016
  • 163 + 12853 = 13016

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Ke
U+32D8
Other symbol (So)

UTF-8 encoding: E3 8B 98 (3 bytes).

Hex color
#0032D8
RGB(0, 50, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.216.

Address
0.0.50.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.216

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

Position in π

The digit sequence 13016 first appears in π at position 114,511 of the decimal expansion (the 114,511ordinal-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.