Live analysis

9,000

9,000 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.).

9,000 (nine thousand) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5³. Its proper divisors sum to 21,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2328.

Abundant Number Achilles Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

8,988 8,989 8,990 8,991 8,992 8,993 8,994 8,995 8,996 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 9
Flips to (rotate 180°): 6
Recamán's sequence: a(24,596) = 9,000
Square (n²): 81,000,000
Cube (n³): 729,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 30,420
φ(n) — Euler's totient: 2,400
Sum of prime factors: 27

Primality

Prime factorization: 2 ³ × 3 ² × 5 ³

Nearest primes: 8,999 (−1) · 9,001 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 72 · 75 · 90 · 100 · 120 · 125 · 150 · 180 · 200 · 225 · 250 · 300 · 360 · 375 · 450 · 500 · 600 · 750 · 900 · 1000 · 1125 · 1500 · 1800 · 2250 · 3000 · 4500 (half) · 9000

Aliquot sum (sum of proper divisors): 21,420

Factor pairs (a × b = 9,000)

1 × 9000

2 × 4500

3 × 3000

4 × 2250

5 × 1800

6 × 1500

8 × 1125

9 × 1000

10 × 900

12 × 750

15 × 600

18 × 500

20 × 450

24 × 375

25 × 360

30 × 300

36 × 250

40 × 225

45 × 200

50 × 180

60 × 150

72 × 125

75 × 120

90 × 100

First multiples

9,000 · 18,000 (double) · 27,000 · 36,000 · 45,000 · 54,000 · 63,000 · 72,000 · 81,000 · 90,000

Sums & aliquot sequence

As a sum of two squares: 30² + 90² = 54² + 78²

As a sum of two cubes: 10³ + 20³

As consecutive integers: 2,999 + 3,000 + 3,001 1,798 + 1,799 + 1,800 + 1,801 + 1,802 996 + 997 + … + 1,004 593 + 594 + … + 607

Aliquot sequence: 9,000 → 21,420 → 57,204 → 108,780 → 255,108 → 425,404 → 425,460 → 937,356 → 1,562,484 → 3,275,916 → 5,621,364 → 10,618,860 → 23,798,292 → 40,549,740 → 104,215,188 → 198,958,956 → 392,454,804 — unresolved within range

Continued fraction of √n

√9,000 = [94; (1, 6, 1, 1, 2, 7, 5, 7, 2, 1, 1, 6, 1, 188)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: nine thousand
Ordinal: 9000th
Binary: 10001100101000
Octal: 21450
Hexadecimal: 0x2328
Base64: Iyg=
One's complement: 56,535 (16-bit)
Scientific notation: 9 × 10³
As a duration: 9,000 s = 2 hours, 30 minutes

In other bases

ternary (3) 110100100

quaternary (4) 2030220

quinary (5) 242000

senary (6) 105400

septenary (7) 35145

nonary (9) 13310

undecimal (11) 6842

duodecimal (12) 5260

tridecimal (13) 4134

tetradecimal (14) 33cc

pentadecimal (15) 2a00

As an angle

9,000° = 25 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵θ
Mayan (base 20): 𝋡·𝋢·𝋪·𝋠
Chinese: 九千
Chinese (financial): 玖仟

In other modern scripts

Eastern Arabic ٩٠٠٠ Devanagari ९००० Bengali ৯০০০ Tamil ௯௦௦௦ Thai ๙๐๐๐ Tibetan ༩༠༠༠ Khmer ៩០០០ Lao ໙໐໐໐ Burmese ၉၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 9,000 = 4
e — Euler's number (e): Digit 9,000 = 3
φ — Golden ratio (φ): Digit 9,000 = 8
√2 — Pythagoras's (√2): Digit 9,000 = 0
ln 2 — Natural log of 2: Digit 9,000 = 1
γ — Euler-Mascheroni (γ): Digit 9,000 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9000, here are decompositions:

29 + 8971 = 9000
31 + 8969 = 9000
37 + 8963 = 9000
59 + 8941 = 9000
67 + 8933 = 9000
71 + 8929 = 9000
107 + 8893 = 9000
113 + 8887 = 9000

Showing the first eight; more decompositions exist.

Unicode codepoint

⌨

Keyboard

U+2328

Other symbol (So)

UTF-8 encoding: E2 8C A8 (3 bytes).

Lookup U+2328 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002328

RGB(0, 35, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.35.40.

Address: 0.0.35.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.35.40

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

Musical pitch

Heard as a frequency, 9,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +26¢)

Position in π

The digit sequence 9000 first appears in π at position 4,792 of the decimal expansion (the 4,792ordinal-suffix:nd 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 9000 on Pi Search ↗