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3,986

3,986 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.).

3,986 (three thousand nine hundred eighty-six) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,993. Written other ways, in Roman numerals it is MMMCMLXXXVI and in binary, 111110010010.

Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
6,893
Recamán's sequence
a(14,419) = 3,986
Square (n²)
15,888,196
Cube (n³)
63,330,349,256
Divisor count
4
σ(n) — sum of divisors
5,982
φ(n) — Euler's totient
1,992
Sum of prime factors
1,995

Primality

Prime factorization: 2 × 1993

Nearest primes: 3,967 (−19) · 3,989 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 1993 (half) · 3986
Aliquot sum (sum of proper divisors): 1,996
Factor pairs (a × b = 3,986)
1 × 3986
2 × 1993
First multiples
3,986 · 7,972 (double) · 11,958 · 15,944 · 19,930 · 23,916 · 27,902 · 31,888 · 35,874 · 39,860

Sums & aliquot sequence

As a sum of two squares: 31² + 55²
As consecutive integers: 995 + 996 + 997 + 998
Aliquot sequence: 3,986 1,996 1,504 1,520 2,200 3,380 4,306 2,156 2,632 3,128 3,352 2,948 2,764 2,080 3,212 3,004 2,260 — unresolved within range

Continued fraction of √n

√3,986 = [63; (7, 2, 2, 1, 1, 1, 1, 2, 2, 7, 126)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
three thousand nine hundred eighty-six
Ordinal
3986th
Roman numeral
MMMCMLXXXVI
Binary
111110010010
Octal
7622
Hexadecimal
0xF92
Base64
D5I=
One's complement
61,549 (16-bit)
Scientific notation
3.986 × 10³
As a duration
3,986 s = 1 hour, 6 minutes, 26 seconds
In other bases
ternary (3) 12110122
quaternary (4) 332102
quinary (5) 111421
senary (6) 30242
septenary (7) 14423
nonary (9) 5418
undecimal (11) 2aa4
duodecimal (12) 2382
tridecimal (13) 1a78
tetradecimal (14) 164a
pentadecimal (15) 12ab

As an angle

3,986° = 11 × 360° + 26°
26° ≈ 0.454 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γϡπϛʹ
Mayan (base 20)
𝋩·𝋳·𝋦
Chinese
三千九百八十六
Chinese (financial)
參仟玖佰捌拾陸
In other modern scripts
Eastern Arabic ٣٩٨٦ Devanagari ३९८६ Bengali ৩৯৮৬ Tamil ௩௯௮௬ Thai ๓๙๘๖ Tibetan ༣༩༨༦ Khmer ៣៩៨៦ Lao ໓໙໘໖ Burmese ၃၉၈၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,986 = 2
e — Euler's number (e)
Digit 3,986 = 5
φ — Golden ratio (φ)
Digit 3,986 = 5
√2 — Pythagoras's (√2)
Digit 3,986 = 5
ln 2 — Natural log of 2
Digit 3,986 = 3
γ — Euler-Mascheroni (γ)
Digit 3,986 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3986, here are decompositions:

  • 19 + 3967 = 3986
  • 43 + 3943 = 3986
  • 67 + 3919 = 3986
  • 79 + 3907 = 3986
  • 97 + 3889 = 3986
  • 109 + 3877 = 3986
  • 139 + 3847 = 3986
  • 163 + 3823 = 3986

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Subjoined Letter Ga
U+0F92
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 92 (3 bytes).

Hex color
#000F92
RGB(0, 15, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.146.

Address
0.0.15.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.146

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

Musical pitch

Heard as a frequency, 3,986 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +15¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -47¢ — about midway to B7)
  • Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +17¢)
Position in π

The digit sequence 3986 first appears in π at position 2,448 of the decimal expansion (the 2,448ordinal-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.