Live analysis

3,999

3,999 is a composite number, odd.

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.).

3,999 (three thousand nine hundred ninety-nine) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 31 × 43. Written other ways, in Roman numerals it is MMMCMXCIX and in binary, 111110011111.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 4,009 4,010 4,011

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 30
Digit product: 2,187
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 9,993
Recamán's sequence: a(14,393) = 3,999
Square (n²): 15,992,001
Cube (n³): 63,952,011,999
Divisor count: 8
σ(n) — sum of divisors: 5,632
φ(n) — Euler's totient: 2,520
Sum of prime factors: 77

Primality

Prime factorization: 3 × 31 × 43

Nearest primes: 3,989 (−10) · 4,001 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 31 · 43 · 93 · 129 · 1333 · 3999

Aliquot sum (sum of proper divisors): 1,633

Factor pairs (a × b = 3,999)

1 × 3999

3 × 1333

31 × 129

43 × 93

First multiples

3,999 · 7,998 (double) · 11,997 · 15,996 · 19,995 · 23,994 · 27,993 · 31,992 · 35,991 · 39,990

Sums & aliquot sequence

As consecutive integers: 1,999 + 2,000 1,332 + 1,333 + 1,334 664 + 665 + 666 + 667 + 668 + 669 114 + 115 + … + 144

Aliquot sequence: 3,999 → 1,633 → 95 → 25 → 6 → 6 — reaches a perfect number

Continued fraction of √n

√3,999 = [63; (4, 4, 1, 4, 4, 126)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred ninety-nine
Ordinal: 3999th
Roman numeral: MMMCMXCIX
Binary: 111110011111
Octal: 7637
Hexadecimal: 0xF9F
Base64: D58=
One's complement: 61,536 (16-bit)
Scientific notation: 3.999 × 10³
As a duration: 3,999 s = 1 hour, 6 minutes, 39 seconds

In other bases

ternary (3) 12111010

quaternary (4) 332133

quinary (5) 111444

senary (6) 30303

septenary (7) 14442

nonary (9) 5433

undecimal (11) 3006

duodecimal (12) 2393

tridecimal (13) 1a88

tetradecimal (14) 1659

pentadecimal (15) 12b9

Palindromic in base 2, base 6, base 16

As an angle

3,999° = 11 × 360° + 39°

39° ≈ 0.681 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γϡϟθʹ
Mayan (base 20): 𝋩·𝋳·𝋳
Chinese: 三千九百九十九
Chinese (financial): 參仟玖佰玖拾玖

In other modern scripts

Eastern Arabic ٣٩٩٩ Devanagari ३९९९ Bengali ৩৯৯৯ Tamil ௩௯௯௯ Thai ๓๙๙๙ Tibetan ༣༩༩༩ Khmer ៣៩៩៩ Lao ໓໙໙໙ Burmese ၃၉၉၉

Digit at this position in famous constants

π — Pi (π): Digit 3,999 = 3
e — Euler's number (e): Digit 3,999 = 9
φ — Golden ratio (φ): Digit 3,999 = 2
√2 — Pythagoras's (√2): Digit 3,999 = 8
ln 2 — Natural log of 2: Digit 3,999 = 8
γ — Euler-Mascheroni (γ): Digit 3,999 = 1

Also seen as

Unicode codepoint

ྟ

Tibetan Subjoined Letter Ta

U+0F9F

Non-spacing mark (Mn)

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

Lookup U+0F9F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F9F

RGB(0, 15, 159)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.159.

Address: 0.0.15.159
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.159

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

Musical pitch

Heard as a frequency, 3,999 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +22¢)

Position in π

The digit sequence 3999 first appears in π at position 8,526 of the decimal expansion (the 8,526ordinal-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 3999 on Pi Search ↗