Live analysis

9,009

9,009 is a composite number, odd.

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.).

9,009 (nine thousand nine) is an odd 4-digit number. It is a composite number with 24 divisors, and factors as 3² × 7 × 11 × 13. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x2331.

Arithmetic Number Binary Palindrome Centered Cube Cube-Free Deficient Number Evil Number Flippable Gapful Number Palindrome Recamán's Sequence

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

8,997 8,998 8,999 9,000 9,001 9,002 9,003 9,004 9,005 9,006 9,007 9,008 9,009 9,010 9,011 9,012 9,013 9,014 9,015 9,016 9,017 9,018 9,019 9,020 9,021

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: Yes
Bit width: 14 bits
Flips to (rotate 180°): 6,006
Recamán's sequence: a(24,578) = 9,009
Square (n²): 81,162,081
Cube (n³): 731,189,187,729
Divisor count: 24
σ(n) — sum of divisors: 17,472
φ(n) — Euler's totient: 4,320
Sum of prime factors: 37

Primality

Prime factorization: 3 ² × 7 × 11 × 13

Nearest primes: 9,007 (−2) · 9,011 (+2)

Divisors & multiples

All divisors (24)

1 · 3 · 7 · 9 · 11 · 13 · 21 · 33 · 39 · 63 · 77 · 91 · 99 · 117 · 143 · 231 · 273 · 429 · 693 · 819 · 1001 · 1287 · 3003 · 9009

Aliquot sum (sum of proper divisors): 8,463

Factor pairs (a × b = 9,009)

1 × 9009

3 × 3003

7 × 1287

9 × 1001

11 × 819

13 × 693

21 × 429

33 × 273

39 × 231

63 × 143

77 × 117

91 × 99

First multiples

9,009 · 18,018 (double) · 27,027 · 36,036 · 45,045 · 54,054 · 63,063 · 72,072 · 81,081 · 90,090

Sums & aliquot sequence

As a sum of two cubes: 16³ + 17³

As consecutive integers: 4,504 + 4,505 3,002 + 3,003 + 3,004 1,499 + 1,500 + 1,501 + 1,502 + 1,503 + 1,504 1,284 + 1,285 + … + 1,290

Aliquot sequence: 9,009 → 8,463 → 5,873 → 847 → 217 → 39 → 17 → 1 → 0 — terminates at zero

Continued fraction of √n

√9,009 = [94; (1, 10, 1, 6, 1, 2, 10, 1, 4, 1, 1, 20, 1, 1, 4, 1, 10, 2, 1, 6, 1, 10, 1, 188)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine
Ordinal: 9009th
Binary: 10001100110001
Octal: 21461
Hexadecimal: 0x2331
Base64: IzE=
One's complement: 56,526 (16-bit)
Scientific notation: 9.009 × 10³
As a duration: 9,009 s = 2 hours, 30 minutes, 9 seconds

In other bases

ternary (3) 110100200

quaternary (4) 2030301

quinary (5) 242014

senary (6) 105413

septenary (7) 35160

nonary (9) 13320

undecimal (11) 6850

duodecimal (12) 5269

tridecimal (13) 4140

tetradecimal (14) 33d7

pentadecimal (15) 2a09

Palindromic in base 2

As an angle

9,009° = 25 × 360° + 9°

9° ≈ 0.157 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵θθʹ
Mayan (base 20): 𝋡·𝋢·𝋪·𝋩
Chinese: 九千零九
Chinese (financial): 玖仟零玖

In other modern scripts

Eastern Arabic ٩٠٠٩ Devanagari ९००९ Bengali ৯০০৯ Tamil ௯௦௦௯ Thai ๙๐๐๙ Tibetan ༩༠༠༩ Khmer ៩០០៩ Lao ໙໐໐໙ Burmese ၉၀၀၉

Digit at this position in famous constants

π — Pi (π): Digit 9,009 = 6
e — Euler's number (e): Digit 9,009 = 2
φ — Golden ratio (φ): Digit 9,009 = 7
√2 — Pythagoras's (√2): Digit 9,009 = 5
ln 2 — Natural log of 2: Digit 9,009 = 5
γ — Euler-Mascheroni (γ): Digit 9,009 = 0

Also seen as

Unicode codepoint

⌱

Dimension Origin

U+2331

Other symbol (So)

UTF-8 encoding: E2 8C B1 (3 bytes).

Lookup U+2331 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002331

RGB(0, 35, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.35.49.

Address: 0.0.35.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.35.49

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

Musical pitch

Heard as a frequency, 9,009 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, -35¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +28¢)

Position in π

The digit sequence 9009 first appears in π at position 1,188 of the decimal expansion (the 1,188ordinal-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 9009 on Pi Search ↗