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3,366

3,366 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.).

3,366 (three thousand three hundred sixty-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 11 × 17. Its proper divisors sum to 5,058, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCLXVI and in binary, 110100100110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
324
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
6,633
Recamán's sequence
a(29,412) = 3,366
Square (n²)
11,329,956
Cube (n³)
38,136,631,896
Divisor count
24
σ(n) — sum of divisors
8,424
φ(n) — Euler's totient
960
Sum of prime factors
36

Primality

Prime factorization: 2 × 3 2 × 11 × 17

Nearest primes: 3,361 (−5) · 3,371 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 11 · 17 · 18 · 22 · 33 · 34 · 51 · 66 · 99 · 102 · 153 · 187 · 198 · 306 · 374 · 561 · 1122 · 1683 (half) · 3366
Aliquot sum (sum of proper divisors): 5,058
Factor pairs (a × b = 3,366)
1 × 3366
2 × 1683
3 × 1122
6 × 561
9 × 374
11 × 306
17 × 198
18 × 187
22 × 153
33 × 102
34 × 99
51 × 66
First multiples
3,366 · 6,732 (double) · 10,098 · 13,464 · 16,830 · 20,196 · 23,562 · 26,928 · 30,294 · 33,660

Sums & aliquot sequence

As consecutive integers: 1,121 + 1,122 + 1,123 840 + 841 + 842 + 843 370 + 371 + … + 378 301 + 302 + … + 311
Aliquot sequence: 3,366 5,058 5,940 14,220 29,460 53,196 97,332 129,804 184,356 298,434 298,446 298,458 364,902 377,610 553,782 553,794 602,238 — unresolved within range

Continued fraction of √n

√3,366 = [58; (58, 116)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
three thousand three hundred sixty-six
Ordinal
3366th
Roman numeral
MMMCCCLXVI
Binary
110100100110
Octal
6446
Hexadecimal
0xD26
Base64
DSY=
One's complement
62,169 (16-bit)
Scientific notation
3.366 × 10³
As a duration
3,366 s = 56 minutes, 6 seconds
In other bases
ternary (3) 11121200
quaternary (4) 310212
quinary (5) 101431
senary (6) 23330
septenary (7) 12546
nonary (9) 4550
undecimal (11) 2590
duodecimal (12) 1b46
tridecimal (13) 16bc
tetradecimal (14) 1326
pentadecimal (15) ee6
Palindromic in base 8

As an angle

3,366° = 9 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γτξϛʹ
Mayan (base 20)
𝋨·𝋨·𝋦
Chinese
三千三百六十六
Chinese (financial)
參仟參佰陸拾陸
In other modern scripts
Eastern Arabic ٣٣٦٦ Devanagari ३३६६ Bengali ৩৩৬৬ Tamil ௩௩௬௬ Thai ๓๓๖๖ Tibetan ༣༣༦༦ Khmer ៣៣៦៦ Lao ໓໓໖໖ Burmese ၃၃၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,366 = 4
e — Euler's number (e)
Digit 3,366 = 5
φ — Golden ratio (φ)
Digit 3,366 = 4
√2 — Pythagoras's (√2)
Digit 3,366 = 2
ln 2 — Natural log of 2
Digit 3,366 = 5
γ — Euler-Mascheroni (γ)
Digit 3,366 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3366, here are decompositions:

  • 5 + 3361 = 3366
  • 7 + 3359 = 3366
  • 19 + 3347 = 3366
  • 23 + 3343 = 3366
  • 37 + 3329 = 3366
  • 43 + 3323 = 3366
  • 47 + 3319 = 3366
  • 53 + 3313 = 3366

Showing the first eight; more decompositions exist.

Unicode codepoint
Malayalam Letter Da
U+0D26
Other letter (Lo)

UTF-8 encoding: E0 B4 A6 (3 bytes).

Hex color
#000D26
RGB(0, 13, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.38.

Address
0.0.13.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.38

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

Musical pitch

Heard as a frequency, 3,366 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +24¢)
Position in π

The digit sequence 3366 first appears in π at position 4,689 of the decimal expansion (the 4,689ordinal-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°.