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13,004

13,004 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 Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
40,031
Recamán's sequence
a(48,267) = 13,004
Square (n²)
169,104,016
Cube (n³)
2,199,028,624,064
Divisor count
6
σ(n) — sum of divisors
22,764
φ(n) — Euler's totient
6,500
Sum of prime factors
3,255

Primality

Prime factorization: 2 2 × 3251

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

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3251 · 6502 (half) · 13004
Aliquot sum (sum of proper divisors): 9,760
Factor pairs (a × b = 13,004)
1 × 13004
2 × 6502
4 × 3251
First multiples
13,004 · 26,008 (double) · 39,012 · 52,016 · 65,020 · 78,024 · 91,028 · 104,032 · 117,036 · 130,040

Sums & aliquot sequence

As consecutive integers: 1,622 + 1,623 + … + 1,629
Aliquot sequence: 13,004 9,760 13,676 12,196 9,154 5,246 2,938 1,850 1,684 1,270 1,034 694 350 394 200 265 59 — unresolved within range

Representations

In words
thirteen thousand four
Ordinal
13004th
Binary
11001011001100
Octal
31314
Hexadecimal
0x32CC
Base64
Msw=
One's complement
52,531 (16-bit)
In other bases
ternary (3) 122211122
quaternary (4) 3023030
quinary (5) 404004
senary (6) 140112
septenary (7) 52625
nonary (9) 18748
undecimal (11) 9852
duodecimal (12) 7638
tridecimal (13) 5bc4
tetradecimal (14) 4a4c
pentadecimal (15) 3cbe

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγδʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋤
Chinese
一萬三千零四
Chinese (financial)
壹萬參仟零肆
In other modern scripts
Eastern Arabic ١٣٠٠٤ Devanagari १३००४ Bengali ১৩০০৪ Tamil ௧௩௦௦௪ Thai ๑๓๐๐๔ Tibetan ༡༣༠༠༤ Khmer ១៣០០៤ Lao ໑໓໐໐໔ Burmese ၁၃၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,004 = 2
e — Euler's number (e)
Digit 13,004 = 2
φ — Golden ratio (φ)
Digit 13,004 = 7
√2 — Pythagoras's (√2)
Digit 13,004 = 4
ln 2 — Natural log of 2
Digit 13,004 = 6
γ — Euler-Mascheroni (γ)
Digit 13,004 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13004, here are decompositions:

  • 3 + 13001 = 13004
  • 31 + 12973 = 13004
  • 37 + 12967 = 13004
  • 97 + 12907 = 13004
  • 151 + 12853 = 13004
  • 163 + 12841 = 13004
  • 181 + 12823 = 13004
  • 223 + 12781 = 13004

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Hg
U+32CC
Other symbol (So)

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

Hex color
#0032CC
RGB(0, 50, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.204.

Address
0.0.50.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.204

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

Position in π

The digit sequence 13004 first appears in π at position 16,585 of the decimal expansion (the 16,585ordinal-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.