Live analysis

3,990

3,990 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.).

3,990 (three thousand nine hundred ninety) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 7 × 19. Its proper divisors sum to 7,530, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCMXC and in binary, 111110010110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,978 3,979 3,980 3,981 3,982 3,983 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 993
Recamán's sequence: a(14,411) = 3,990
Square (n²): 15,920,100
Cube (n³): 63,521,199,000
Divisor count: 32
σ(n) — sum of divisors: 11,520
φ(n) — Euler's totient: 864
Sum of prime factors: 36

Primality

Prime factorization: 2 × 3 × 5 × 7 × 19

Nearest primes: 3,989 (−1) · 4,001 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 19 · 21 · 30 · 35 · 38 · 42 · 57 · 70 · 95 · 105 · 114 · 133 · 190 · 210 · 266 · 285 · 399 · 570 · 665 · 798 · 1330 · 1995 (half) · 3990

Aliquot sum (sum of proper divisors): 7,530

Factor pairs (a × b = 3,990)

1 × 3990

2 × 1995

3 × 1330

5 × 798

6 × 665

7 × 570

10 × 399

14 × 285

15 × 266

19 × 210

21 × 190

30 × 133

35 × 114

38 × 105

42 × 95

57 × 70

First multiples

3,990 · 7,980 (double) · 11,970 · 15,960 · 19,950 · 23,940 · 27,930 · 31,920 · 35,910 · 39,900

Sums & aliquot sequence

As consecutive integers: 1,329 + 1,330 + 1,331 996 + 997 + 998 + 999 796 + 797 + 798 + 799 + 800 567 + 568 + … + 573

Aliquot sequence: 3,990 → 7,530 → 10,614 → 11,706 → 11,718 → 19,002 → 19,014 → 19,026 → 28,398 → 28,410 → 39,846 → 42,954 → 42,966 → 76,842 → 94,038 → 121,002 → 166,230 — unresolved within range

Continued fraction of √n

√3,990 = [63; (6, 126)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred ninety
Ordinal: 3990th
Roman numeral: MMMCMXC
Binary: 111110010110
Octal: 7626
Hexadecimal: 0xF96
Base64: D5Y=
One's complement: 61,545 (16-bit)
Scientific notation: 3.99 × 10³
As a duration: 3,990 s = 1 hour, 6 minutes, 30 seconds

In other bases

ternary (3) 12110210

quaternary (4) 332112

quinary (5) 111430

senary (6) 30250

septenary (7) 14430

nonary (9) 5423

undecimal (11) 2aa8

duodecimal (12) 2386

tridecimal (13) 1a7c

tetradecimal (14) 1650

pentadecimal (15) 12b0

As an angle

3,990° = 11 × 360° + 30°

30° ≈ 0.524 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γϡϟʹ
Mayan (base 20): 𝋩·𝋳·𝋪
Chinese: 三千九百九十
Chinese (financial): 參仟玖佰玖拾

In other modern scripts

Eastern Arabic ٣٩٩٠ Devanagari ३९९० Bengali ৩৯৯০ Tamil ௩௯௯௦ Thai ๓๙๙๐ Tibetan ༣༩༩༠ Khmer ៣៩៩០ Lao ໓໙໙໐ Burmese ၃၉၉၀

Digit at this position in famous constants

π — Pi (π): Digit 3,990 = 2
e — Euler's number (e): Digit 3,990 = 1
φ — Golden ratio (φ): Digit 3,990 = 6
√2 — Pythagoras's (√2): Digit 3,990 = 4
ln 2 — Natural log of 2: Digit 3,990 = 9
γ — Euler-Mascheroni (γ): Digit 3,990 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3990, here are decompositions:

23 + 3967 = 3990
43 + 3947 = 3990
47 + 3943 = 3990
59 + 3931 = 3990
61 + 3929 = 3990
67 + 3923 = 3990
71 + 3919 = 3990
73 + 3917 = 3990

Showing the first eight; more decompositions exist.

Unicode codepoint

ྖ

Tibetan Subjoined Letter Cha

U+0F96

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 96 (3 bytes).

Lookup U+0F96 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F96

RGB(0, 15, 150)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.150.

Address: 0.0.15.150
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.150

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

Musical pitch

Heard as a frequency, 3,990 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +17¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -45¢ — about midway to B7)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +18¢)

Position in π

The digit sequence 3990 first appears in π at position 39,356 of the decimal expansion (the 39,356ordinal-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 3990 on Pi Search ↗