number.wiki
Live analysis

6,066

6,066 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.).

6,066 (six thousand sixty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 337. Its proper divisors sum to 7,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17B2.

Abundant Number Cube-Free Evil Number Flippable Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
6,606
Flips to (rotate 180°)
9,909
Recamán's sequence
a(12,631) = 6,066
Square (n²)
36,796,356
Cube (n³)
223,206,695,496
Divisor count
12
σ(n) — sum of divisors
13,182
φ(n) — Euler's totient
2,016
Sum of prime factors
345

Primality

Prime factorization: 2 × 3 2 × 337

Nearest primes: 6,053 (−13) · 6,067 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 337 · 674 · 1011 · 2022 · 3033 (half) · 6066
Aliquot sum (sum of proper divisors): 7,116
Factor pairs (a × b = 6,066)
1 × 6066
2 × 3033
3 × 2022
6 × 1011
9 × 674
18 × 337
First multiples
6,066 · 12,132 (double) · 18,198 · 24,264 · 30,330 · 36,396 · 42,462 · 48,528 · 54,594 · 60,660

Sums & aliquot sequence

As a sum of two squares: 21² + 75²
As consecutive integers: 2,021 + 2,022 + 2,023 1,515 + 1,516 + 1,517 + 1,518 670 + 671 + … + 678 500 + 501 + … + 511
Aliquot sequence: 6,066 7,116 9,516 14,788 11,098 6,182 3,970 3,194 1,600 2,337 1,023 513 287 49 8 7 1 — unresolved within range

Continued fraction of √n

√6,066 = [77; (1, 7, 1, 1, 1, 16, 1, 1, 1, 7, 1, 154)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
six thousand sixty-six
Ordinal
6066th
Binary
1011110110010
Octal
13662
Hexadecimal
0x17B2
Base64
F7I=
One's complement
59,469 (16-bit)
Scientific notation
6.066 × 10³
As a duration
6,066 s = 1 hour, 41 minutes, 6 seconds
In other bases
ternary (3) 22022200
quaternary (4) 1132302
quinary (5) 143231
senary (6) 44030
septenary (7) 23454
nonary (9) 8280
undecimal (11) 4615
duodecimal (12) 3616
tridecimal (13) 29b8
tetradecimal (14) 22d4
pentadecimal (15) 1be6

As an angle

6,066° = 16 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛξϛʹ
Mayan (base 20)
𝋯·𝋣·𝋦
Chinese
六千零六十六
Chinese (financial)
陸仟零陸拾陸
In other modern scripts
Eastern Arabic ٦٠٦٦ Devanagari ६०६६ Bengali ৬০৬৬ Tamil ௬௦௬௬ Thai ๖๐๖๖ Tibetan ༦༠༦༦ Khmer ៦០៦៦ Lao ໖໐໖໖ Burmese ၆၀၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 6,066 = 7
e — Euler's number (e)
Digit 6,066 = 5
φ — Golden ratio (φ)
Digit 6,066 = 2
√2 — Pythagoras's (√2)
Digit 6,066 = 1
ln 2 — Natural log of 2
Digit 6,066 = 6
γ — Euler-Mascheroni (γ)
Digit 6,066 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6066, here are decompositions:

  • 13 + 6053 = 6066
  • 19 + 6047 = 6066
  • 23 + 6043 = 6066
  • 29 + 6037 = 6066
  • 37 + 6029 = 6066
  • 59 + 6007 = 6066
  • 79 + 5987 = 6066
  • 113 + 5953 = 6066

Showing the first eight; more decompositions exist.

Unicode codepoint
Khmer Independent Vowel Qoo Type Two
U+17B2
Other letter (Lo)

UTF-8 encoding: E1 9E B2 (3 bytes).

Hex color
#0017B2
RGB(0, 23, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.178.

Address
0.0.23.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.178

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

Musical pitch

Heard as a frequency, 6,066 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +42¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -20¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +43¢)
Position in π

The digit sequence 6066 first appears in π at position 23,612 of the decimal expansion (the 23,612ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.