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3,966

3,966 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 Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
6,693
Recamán's sequence
a(14,459) = 3,966
Square (n²)
15,729,156
Cube (n³)
62,381,832,696
Divisor count
8
σ(n) — sum of divisors
7,944
φ(n) — Euler's totient
1,320
Sum of prime factors
666

Primality

Prime factorization: 2 × 3 × 661

Nearest primes: 3,947 (−19) · 3,967 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 661 · 1322 · 1983 (half) · 3966
Aliquot sum (sum of proper divisors): 3,978
Factor pairs (a × b = 3,966)
1 × 3966
2 × 1983
3 × 1322
6 × 661
First multiples
3,966 · 7,932 (double) · 11,898 · 15,864 · 19,830 · 23,796 · 27,762 · 31,728 · 35,694 · 39,660

Sums & aliquot sequence

As consecutive integers: 1,321 + 1,322 + 1,323 990 + 991 + 992 + 993 325 + 326 + … + 336
Aliquot sequence: 3,966 3,978 5,850 11,076 17,148 22,892 18,268 13,708 11,492 11,566 5,786 3,718 2,870 3,178 2,294 1,354 680 — unresolved within range

Representations

In words
three thousand nine hundred sixty-six
Ordinal
3966th
Roman numeral
MMMCMLXVI
Binary
111101111110
Octal
7576
Hexadecimal
0xF7E
Base64
D34=
One's complement
61,569 (16-bit)
In other bases
ternary (3) 12102220
quaternary (4) 331332
quinary (5) 111331
senary (6) 30210
septenary (7) 14364
nonary (9) 5386
undecimal (11) 2a86
duodecimal (12) 2366
tridecimal (13) 1a61
tetradecimal (14) 1634
pentadecimal (15) 1296

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γϡξϛʹ
Mayan (base 20)
𝋩·𝋲·𝋦
Chinese
三千九百六十六
Chinese (financial)
參仟玖佰陸拾陸
In other modern scripts
Eastern Arabic ٣٩٦٦ Devanagari ३९६६ Bengali ৩৯৬৬ Tamil ௩௯௬௬ Thai ๓๙๖๖ Tibetan ༣༩༦༦ Khmer ៣៩៦៦ Lao ໓໙໖໖ Burmese ၃၉၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,966 = 0
e — Euler's number (e)
Digit 3,966 = 7
φ — Golden ratio (φ)
Digit 3,966 = 7
√2 — Pythagoras's (√2)
Digit 3,966 = 1
ln 2 — Natural log of 2
Digit 3,966 = 9
γ — Euler-Mascheroni (γ)
Digit 3,966 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3966, here are decompositions:

  • 19 + 3947 = 3966
  • 23 + 3943 = 3966
  • 37 + 3929 = 3966
  • 43 + 3923 = 3966
  • 47 + 3919 = 3966
  • 59 + 3907 = 3966
  • 89 + 3877 = 3966
  • 103 + 3863 = 3966

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Sign Rjes Su Nga Ro
U+0F7E
Non-spacing mark (Mn)

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

Hex color
#000F7E
RGB(0, 15, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.126.

Address
0.0.15.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.126

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

Position in π

The digit sequence 3966 first appears in π at position 3,998 of the decimal expansion (the 3,998ordinal-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.