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3,806

3,806 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.).

3,806 (three thousand eight hundred six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 11 × 173. Written other ways, in Roman numerals it is MMMDCCCVI and in binary, 111011011110.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
6,083
Recamán's sequence
a(6,316) = 3,806
Square (n²)
14,485,636
Cube (n³)
55,132,330,616
Divisor count
8
σ(n) — sum of divisors
6,264
φ(n) — Euler's totient
1,720
Sum of prime factors
186

Primality

Prime factorization: 2 × 11 × 173

Nearest primes: 3,803 (−3) · 3,821 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 173 · 346 · 1903 (half) · 3806
Aliquot sum (sum of proper divisors): 2,458
Factor pairs (a × b = 3,806)
1 × 3806
2 × 1903
11 × 346
22 × 173
First multiples
3,806 · 7,612 (double) · 11,418 · 15,224 · 19,030 · 22,836 · 26,642 · 30,448 · 34,254 · 38,060

Sums & aliquot sequence

As consecutive integers: 950 + 951 + 952 + 953 341 + 342 + … + 351 65 + 66 + … + 108
Aliquot sequence: 3,806 2,458 1,232 1,744 1,666 1,412 1,066 698 352 404 310 266 214 110 106 56 64 — unresolved within range

Continued fraction of √n

√3,806 = [61; (1, 2, 3, 1, 11, 1, 1, 3, 9, 4, 1, 4, 1, 4, 9, 3, 1, 1, 11, 1, 3, 2, 1, 122)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
three thousand eight hundred six
Ordinal
3806th
Roman numeral
MMMDCCCVI
Binary
111011011110
Octal
7336
Hexadecimal
0xEDE
Base64
Dt4=
One's complement
61,729 (16-bit)
Scientific notation
3.806 × 10³
As a duration
3,806 s = 1 hour, 3 minutes, 26 seconds
In other bases
ternary (3) 12012222
quaternary (4) 323132
quinary (5) 110211
senary (6) 25342
septenary (7) 14045
nonary (9) 5188
undecimal (11) 2950
duodecimal (12) 2252
tridecimal (13) 196a
tetradecimal (14) 155c
pentadecimal (15) 11db
Palindromic in base 16

As an angle

3,806° = 10 × 360° + 206°
206° ≈ 3.595 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γωϛʹ
Mayan (base 20)
𝋩·𝋪·𝋦
Chinese
三千八百零六
Chinese (financial)
參仟捌佰零陸
In other modern scripts
Eastern Arabic ٣٨٠٦ Devanagari ३८०६ Bengali ৩৮০৬ Tamil ௩௮௦௬ Thai ๓๘๐๖ Tibetan ༣༨༠༦ Khmer ៣៨០៦ Lao ໓໘໐໖ Burmese ၃၈၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,806 = 3
e — Euler's number (e)
Digit 3,806 = 0
φ — Golden ratio (φ)
Digit 3,806 = 0
√2 — Pythagoras's (√2)
Digit 3,806 = 7
ln 2 — Natural log of 2
Digit 3,806 = 6
γ — Euler-Mascheroni (γ)
Digit 3,806 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3806, here are decompositions:

  • 3 + 3803 = 3806
  • 13 + 3793 = 3806
  • 37 + 3769 = 3806
  • 67 + 3739 = 3806
  • 73 + 3733 = 3806
  • 79 + 3727 = 3806
  • 97 + 3709 = 3806
  • 109 + 3697 = 3806

Showing the first eight; more decompositions exist.

Unicode codepoint
Lao Letter Khmu Go
U+0EDE
Other letter (Lo)

UTF-8 encoding: E0 BB 9E (3 bytes).

Hex color
#000EDE
RGB(0, 14, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.222.

Address
0.0.14.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.222

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

Musical pitch

Heard as a frequency, 3,806 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +37¢)
Position in π

The digit sequence 3806 first appears in π at position 12,468 of the decimal expansion (the 12,468ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.