Live analysis

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.).

3,996 (three thousand nine hundred ninety-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 37. Its proper divisors sum to 6,644, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCMXCVI and in binary, 111110011100.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,984 3,985 3,986 3,987 3,988 3,989 3,990 3,991 3,992 3,993 3,994 3,995 3,996 3,997 3,998 3,999 4,000 4,001 4,002 4,003 4,004 4,005 4,006 4,007 4,008

less more

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

Continued fraction of √n

√3,996 = [63; (4, 1, 2, 13, 1, 2, 4, 2, 1, 13, 2, 1, 4, 126)]

Period length 14 — the block in parentheses repeats forever.

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)
Scientific notation: 3.996 × 10³
As a duration: 3,996 s = 1 hour, 6 minutes, 36 seconds

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

Palindromic in base 11

As an angle

3,996° = 11 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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).

Lookup U+0F9C on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 3,996 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +21¢)

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.

Look up 3996 on Pi Search ↗