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3,996

3,996 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
27
Digit product
1,458
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
6,993
Recamán's sequence
a(14,399) = 3,996
Square (n²)
15,968,016
Cube (n³)
63,808,191,936
Divisor count
24
σ(n) — sum of divisors
10,640
φ(n) — Euler's totient
1,296
Sum of prime factors
50

Primality

Prime factorization: 2 2 × 3 3 × 37

Nearest primes: 3,989 (−7) · 4,001 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 37 · 54 · 74 · 108 · 111 · 148 · 222 · 333 · 444 · 666 · 999 · 1332 · 1998 (half) · 3996
Aliquot sum (sum of proper divisors): 6,644
Factor pairs (a × b = 3,996)
1 × 3996
2 × 1998
3 × 1332
4 × 999
6 × 666
9 × 444
12 × 333
18 × 222
27 × 148
36 × 111
37 × 108
54 × 74
First multiples
3,996 · 7,992 (double) · 11,988 · 15,984 · 19,980 · 23,976 · 27,972 · 31,968 · 35,964 · 39,960

Sums & aliquot sequence

As consecutive integers: 1,331 + 1,332 + 1,333 496 + 497 + … + 503 440 + 441 + … + 448 155 + 156 + … + 178
Aliquot sequence: 3,996 6,644 6,124 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 1,606 1,058 601 1 0 — terminates at zero

Representations

In words
three thousand nine hundred ninety-six
Ordinal
3996th
Roman numeral
MMMCMXCVI
Binary
111110011100
Octal
7634
Hexadecimal
0xF9C
Base64
D5w=
One's complement
61,539 (16-bit)
In other bases
ternary (3) 12111000
quaternary (4) 332130
quinary (5) 111441
senary (6) 30300
septenary (7) 14436
nonary (9) 5430
undecimal (11) 3003
duodecimal (12) 2390
tridecimal (13) 1a85
tetradecimal (14) 1656
pentadecimal (15) 12b6

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γϡϟϛʹ
Mayan (base 20)
𝋩·𝋳·𝋰
Chinese
三千九百九十六
Chinese (financial)
參仟玖佰玖拾陸
In other modern scripts
Eastern Arabic ٣٩٩٦ Devanagari ३९९६ Bengali ৩৯৯৬ Tamil ௩௯௯௬ Thai ๓๙๙๖ Tibetan ༣༩༩༦ Khmer ៣៩៩៦ Lao ໓໙໙໖ Burmese ၃၉၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,996 = 6
e — Euler's number (e)
Digit 3,996 = 1
φ — Golden ratio (φ)
Digit 3,996 = 3
√2 — Pythagoras's (√2)
Digit 3,996 = 1
ln 2 — Natural log of 2
Digit 3,996 = 5
γ — Euler-Mascheroni (γ)
Digit 3,996 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3996, here are decompositions:

  • 7 + 3989 = 3996
  • 29 + 3967 = 3996
  • 53 + 3943 = 3996
  • 67 + 3929 = 3996
  • 73 + 3923 = 3996
  • 79 + 3917 = 3996
  • 89 + 3907 = 3996
  • 107 + 3889 = 3996

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Subjoined Letter Dda
U+0F9C
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 9C (3 bytes).

Hex color
#000F9C
RGB(0, 15, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.156.

Address
0.0.15.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.156

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

Position in π

The digit sequence 3996 first appears in π at position 2,113 of the decimal expansion (the 2,113ordinal-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.