Live analysis

3,000

3,000 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.).

3,000 (three thousand) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5³. Its proper divisors sum to 6,360, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMM and in binary, 101110111000.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Preferred Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,988 2,989 2,990 2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 3
Recamán's sequence: a(1,415) = 3,000
Square (n²): 9,000,000
Cube (n³): 27,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 9,360
φ(n) — Euler's totient: 800
Sum of prime factors: 24

Primality

Prime factorization: 2 ³ × 3 × 5 ³

Nearest primes: 2,999 (−1) · 3,001 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 125 · 150 · 200 · 250 · 300 · 375 · 500 · 600 · 750 · 1000 · 1500 (half) · 3000

Aliquot sum (sum of proper divisors): 6,360

Factor pairs (a × b = 3,000)

1 × 3000

2 × 1500

3 × 1000

4 × 750

5 × 600

6 × 500

8 × 375

10 × 300

12 × 250

15 × 200

20 × 150

24 × 125

25 × 120

30 × 100

40 × 75

50 × 60

First multiples

3,000 · 6,000 (double) · 9,000 · 12,000 · 15,000 · 18,000 · 21,000 · 24,000 · 27,000 · 30,000

Sums & aliquot sequence

As consecutive integers: 999 + 1,000 + 1,001 598 + 599 + 600 + 601 + 602 193 + 194 + … + 207 180 + 181 + … + 195

Aliquot sequence: 3,000 → 6,360 → 13,080 → 26,520 → 64,200 → 136,680 → 303,960 → 668,040 → 1,448,760 → 2,897,880 → 6,778,920 → 14,760,600 → 31,761,720 → 75,003,840 → 189,623,520 → 475,142,400 → 1,262,108,388 — unresolved within range

Continued fraction of √n

√3,000 = [54; (1, 3, 2, 1, 1, 3, 1, 3, 1, 3, 1, 1, 2, 3, 1, 108)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: three thousand
Ordinal: 3000th
Roman numeral: MMM
Binary: 101110111000
Octal: 5670
Hexadecimal: 0xBB8
Base64: C7g=
One's complement: 62,535 (16-bit)
Scientific notation: 3 × 10³
As a duration: 3,000 s = 50 minutes

In other bases

ternary (3) 11010010

quaternary (4) 232320

quinary (5) 44000

senary (6) 21520

septenary (7) 11514

nonary (9) 4103

undecimal (11) 2288

duodecimal (12) 18a0

tridecimal (13) 149a

tetradecimal (14) 1144

pentadecimal (15) d50

As an angle

3,000° = 8 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼
Greek (Milesian): ͵γ
Mayan (base 20): 𝋧·𝋪·𝋠
Chinese: 三千
Chinese (financial): 參仟

In other modern scripts

Eastern Arabic ٣٠٠٠ Devanagari ३००० Bengali ৩০০০ Tamil ௩௦௦௦ Thai ๓๐๐๐ Tibetan ༣༠༠༠ Khmer ៣០០០ Lao ໓໐໐໐ Burmese ၃၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 3,000 = 6
e — Euler's number (e): Digit 3,000 = 7
φ — Golden ratio (φ): Digit 3,000 = 5
√2 — Pythagoras's (√2): Digit 3,000 = 2
ln 2 — Natural log of 2: Digit 3,000 = 2
γ — Euler-Mascheroni (γ): Digit 3,000 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3000, here are decompositions:

29 + 2971 = 3000
31 + 2969 = 3000
37 + 2963 = 3000
43 + 2957 = 3000
47 + 2953 = 3000
61 + 2939 = 3000
73 + 2927 = 3000
83 + 2917 = 3000

Showing the first eight; more decompositions exist.

Unicode codepoint

ஸ

Tamil Letter Sa

U+0BB8

Other letter (Lo)

UTF-8 encoding: E0 AE B8 (3 bytes).

Lookup U+0BB8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BB8

RGB(0, 11, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.184.

Address: 0.0.11.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.184

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

Musical pitch

Heard as a frequency, 3,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +25¢)

Position in π

The digit sequence 3000 first appears in π at position 15,692 of the decimal expansion (the 15,692ordinal-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 3000 on Pi Search ↗