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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.).
Abundant Number Arithmetic Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

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

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)
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

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).

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.

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.