Live analysis

3,006

3,006 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.).

3,006 (three thousand six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 167. Its proper divisors sum to 3,546, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMVI and in binary, 101110111110.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 3,013 3,014 3,015 3,016 3,017 3,018

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 6,003
Recamán's sequence: a(1,451) = 3,006
Square (n²): 9,036,036
Cube (n³): 27,162,324,216
Divisor count: 12
σ(n) — sum of divisors: 6,552
φ(n) — Euler's totient: 996
Sum of prime factors: 175

Primality

Prime factorization: 2 × 3 ² × 167

Nearest primes: 3,001 (−5) · 3,011 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 167 · 334 · 501 · 1002 · 1503 (half) · 3006

Aliquot sum (sum of proper divisors): 3,546

Factor pairs (a × b = 3,006)

1 × 3006

2 × 1503

3 × 1002

6 × 501

9 × 334

18 × 167

First multiples

3,006 · 6,012 (double) · 9,018 · 12,024 · 15,030 · 18,036 · 21,042 · 24,048 · 27,054 · 30,060

Sums & aliquot sequence

As consecutive integers: 1,001 + 1,002 + 1,003 750 + 751 + 752 + 753 330 + 331 + … + 338 245 + 246 + … + 256

Aliquot sequence: 3,006 → 3,546 → 4,176 → 7,914 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,006 = [54; (1, 4, 1, 3, 1, 1, 4, 4, 1, 3, 3, 1, 21, 6, 21, 1, 3, 3, 1, 4, 4, 1, 1, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: three thousand six
Ordinal: 3006th
Roman numeral: MMMVI
Binary: 101110111110
Octal: 5676
Hexadecimal: 0xBBE
Base64: C74=
One's complement: 62,529 (16-bit)
Scientific notation: 3.006 × 10³
As a duration: 3,006 s = 50 minutes, 6 seconds

In other bases

ternary (3) 11010100

quaternary (4) 232332

quinary (5) 44011

senary (6) 21530

septenary (7) 11523

nonary (9) 4110

undecimal (11) 2293

duodecimal (12) 18a6

tridecimal (13) 14a3

tetradecimal (14) 114a

pentadecimal (15) d56

As an angle

3,006° = 8 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γϛʹ
Mayan (base 20): 𝋧·𝋪·𝋦
Chinese: 三千零六
Chinese (financial): 參仟零陸

In other modern scripts

Eastern Arabic ٣٠٠٦ Devanagari ३००६ Bengali ৩০০৬ Tamil ௩௦௦௬ Thai ๓๐๐๖ Tibetan ༣༠༠༦ Khmer ៣០០៦ Lao ໓໐໐໖ Burmese ၃၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 3,006 = 4
e — Euler's number (e): Digit 3,006 = 5
φ — Golden ratio (φ): Digit 3,006 = 0
√2 — Pythagoras's (√2): Digit 3,006 = 9
ln 2 — Natural log of 2: Digit 3,006 = 5
γ — Euler-Mascheroni (γ): Digit 3,006 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3006, here are decompositions:

5 + 3001 = 3006
7 + 2999 = 3006
37 + 2969 = 3006
43 + 2963 = 3006
53 + 2953 = 3006
67 + 2939 = 3006
79 + 2927 = 3006
89 + 2917 = 3006

Showing the first eight; more decompositions exist.

Unicode codepoint

ா

Tamil Vowel Sign Aa

U+0BBE

Spacing combining mark (Mc)

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

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

Hex color

#000BBE

RGB(0, 11, 190)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.190.

Address: 0.0.11.190
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.190

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

Musical pitch

Heard as a frequency, 3,006 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +28¢)

Position in π

The digit sequence 3006 first appears in π at position 10,128 of the decimal expansion (the 10,128ordinal-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 3006 on Pi Search ↗