Live analysis

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.).

13,004 (thirteen thousand four) is an even 5-digit number. It is a composite number with 6 divisors, and factors as 2² × 3,251. Written other ways, in hexadecimal, 0x32CC.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

12,992 12,993 12,994 12,995 12,996 12,997 12,998 12,999 13,000 13,001 13,002 13,003 13,004 13,005 13,006 13,007 13,008 13,009 13,010 13,011 13,012 13,013 13,014 13,015 13,016

less more

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

Continued fraction of √n

√13,004 = [114; (28, 1, 1, 56, 1, 1, 28, 228)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand four
Ordinal: 13004th
Binary: 11001011001100
Octal: 31314
Hexadecimal: 0x32CC
Base64: Msw=
One's complement: 52,531 (16-bit)
Scientific notation: 1.3004 × 10⁴
As a duration: 13,004 s = 3 hours, 36 minutes, 44 seconds

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

Palindromic in base 7

As an angle

13,004° = 36 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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).

Lookup U+32CC on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 13,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -38¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, exact)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -36¢)

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.

Look up 13004 on Pi Search ↗