Live analysis

11,004

11,004 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.).

11,004 (eleven thousand four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 131. Its proper divisors sum to 18,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2AFC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

10,992 10,993 10,994 10,995 10,996 10,997 10,998 10,999 11,000 11,001 11,002 11,003 11,004 11,005 11,006 11,007 11,008 11,009 11,010 11,011 11,012 11,013 11,014 11,015 11,016

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 40,011
Recamán's sequence: a(174,251) = 11,004
Square (n²): 121,088,016
Cube (n³): 1,332,452,528,064
Divisor count: 24
σ(n) — sum of divisors: 29,568
φ(n) — Euler's totient: 3,120
Sum of prime factors: 145

Primality

Prime factorization: 2 ² × 3 × 7 × 131

Nearest primes: 11,003 (−1) · 11,027 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 131 · 262 · 393 · 524 · 786 · 917 · 1572 · 1834 · 2751 · 3668 · 5502 (half) · 11004

Aliquot sum (sum of proper divisors): 18,564

Factor pairs (a × b = 11,004)

1 × 11004

2 × 5502

3 × 3668

4 × 2751

6 × 1834

7 × 1572

12 × 917

14 × 786

21 × 524

28 × 393

42 × 262

84 × 131

First multiples

11,004 · 22,008 (double) · 33,012 · 44,016 · 55,020 · 66,024 · 77,028 · 88,032 · 99,036 · 110,040

Sums & aliquot sequence

As consecutive integers: 3,667 + 3,668 + 3,669 1,569 + 1,570 + … + 1,575 1,372 + 1,373 + … + 1,379 514 + 515 + … + 534

Aliquot sequence: 11,004 → 18,564 → 37,884 → 75,012 → 140,028 → 233,604 → 471,100 → 698,964 → 1,212,204 → 2,020,564 → 2,506,490 → 2,743,174 → 2,049,434 → 1,032,454 → 516,230 → 635,914 → 317,960 — unresolved within range

Continued fraction of √n

√11,004 = [104; (1, 8, 1, 208)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: eleven thousand four
Ordinal: 11004th
Binary: 10101011111100
Octal: 25374
Hexadecimal: 0x2AFC
Base64: Kvw=
One's complement: 54,531 (16-bit)
Scientific notation: 1.1004 × 10⁴
As a duration: 11,004 s = 3 hours, 3 minutes, 24 seconds

In other bases

ternary (3) 120002120

quaternary (4) 2223330

quinary (5) 323004

senary (6) 122540

septenary (7) 44040

nonary (9) 16076

undecimal (11) 82a4

duodecimal (12) 6450

tridecimal (13) 5016

tetradecimal (14) 4020

pentadecimal (15) 33d9

As an angle

11,004° = 30 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιαδʹ
Mayan (base 20): 𝋡·𝋧·𝋪·𝋤
Chinese: 一萬一千零四
Chinese (financial): 壹萬壹仟零肆

In other modern scripts

Eastern Arabic ١١٠٠٤ Devanagari ११००४ Bengali ১১০০৪ Tamil ௧௧௦௦௪ Thai ๑๑๐๐๔ Tibetan ༡༡༠༠༤ Khmer ១១០០៤ Lao ໑໑໐໐໔ Burmese ၁၁၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 11,004 = 3
e — Euler's number (e): Digit 11,004 = 5
φ — Golden ratio (φ): Digit 11,004 = 3
√2 — Pythagoras's (√2): Digit 11,004 = 2
ln 2 — Natural log of 2: Digit 11,004 = 3
γ — Euler-Mascheroni (γ): Digit 11,004 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11004, here are decompositions:

11 + 10993 = 11004
17 + 10987 = 11004
31 + 10973 = 11004
47 + 10957 = 11004
67 + 10937 = 11004
101 + 10903 = 11004
113 + 10891 = 11004
137 + 10867 = 11004

Showing the first eight; more decompositions exist.

Unicode codepoint

⫼

Large Triple Vertical Bar Operator

U+2AFC

Math symbol (Sm)

UTF-8 encoding: E2 AB BC (3 bytes).

Lookup U+2AFC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002AFC

RGB(0, 42, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.252.

Address: 0.0.42.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.42.252

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

Musical pitch

Heard as a frequency, 11,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -27¢)
Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +11¢)
Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -25¢)

Position in π

The digit sequence 11004 first appears in π at position 3,847 of the decimal expansion (the 3,847ordinal-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 11004 on Pi Search ↗