Live analysis

3,664

3,664 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.).

3,664 (three thousand six hundred sixty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 229. Written other ways, in Roman numerals it is MMMDCLXIV and in binary, 111001010000.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,652 3,653 3,654 3,655 3,656 3,657 3,658 3,659 3,660 3,661 3,662 3,663 3,664 3,665 3,666 3,667 3,668 3,669 3,670 3,671 3,672 3,673 3,674 3,675 3,676

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 432
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 4,663
Recamán's sequence: a(29,148) = 3,664
Square (n²): 13,424,896
Cube (n³): 49,188,818,944
Divisor count: 10
σ(n) — sum of divisors: 7,130
φ(n) — Euler's totient: 1,824
Sum of prime factors: 237

Primality

Prime factorization: 2 ⁴ × 229

Nearest primes: 3,659 (−5) · 3,671 (+7)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 229 · 458 · 916 · 1832 (half) · 3664

Aliquot sum (sum of proper divisors): 3,466

Factor pairs (a × b = 3,664)

1 × 3664

2 × 1832

4 × 916

8 × 458

16 × 229

First multiples

3,664 · 7,328 (double) · 10,992 · 14,656 · 18,320 · 21,984 · 25,648 · 29,312 · 32,976 · 36,640

Sums & aliquot sequence

As a sum of two squares: 8² + 60²

As consecutive integers: 99 + 100 + … + 130

Aliquot sequence: 3,664 → 3,466 → 1,736 → 2,104 → 1,856 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,664 = [60; (1, 1, 7, 1, 1, 3, 7, 3, 1, 1, 7, 1, 1, 120)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred sixty-four
Ordinal: 3664th
Roman numeral: MMMDCLXIV
Binary: 111001010000
Octal: 7120
Hexadecimal: 0xE50
Base64: DlA=
One's complement: 61,871 (16-bit)
Scientific notation: 3.664 × 10³
As a duration: 3,664 s = 1 hour, 1 minute, 4 seconds

In other bases

ternary (3) 12000201

quaternary (4) 321100

quinary (5) 104124

senary (6) 24544

septenary (7) 13453

nonary (9) 5021

undecimal (11) 2831

duodecimal (12) 2154

tridecimal (13) 188b

tetradecimal (14) 149a

pentadecimal (15) 1144

As an angle

3,664° = 10 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γχξδʹ
Mayan (base 20): 𝋩·𝋣·𝋤
Chinese: 三千六百六十四
Chinese (financial): 參仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ٣٦٦٤ Devanagari ३६६४ Bengali ৩৬৬৪ Tamil ௩௬௬௪ Thai ๓๖๖๔ Tibetan ༣༦༦༤ Khmer ៣៦៦៤ Lao ໓໖໖໔ Burmese ၃၆၆၄

Digit at this position in famous constants

π — Pi (π): Digit 3,664 = 7
e — Euler's number (e): Digit 3,664 = 8
φ — Golden ratio (φ): Digit 3,664 = 0
√2 — Pythagoras's (√2): Digit 3,664 = 6
ln 2 — Natural log of 2: Digit 3,664 = 9
γ — Euler-Mascheroni (γ): Digit 3,664 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3664, here are decompositions:

5 + 3659 = 3664
41 + 3623 = 3664
47 + 3617 = 3664
71 + 3593 = 3664
83 + 3581 = 3664
107 + 3557 = 3664
131 + 3533 = 3664
137 + 3527 = 3664

Showing the first eight; more decompositions exist.

Unicode codepoint

๐

Thai Digit Zero

U+0E50

Decimal digit (Nd)

UTF-8 encoding: E0 B9 90 (3 bytes).

Lookup U+0E50 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000E50

RGB(0, 14, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.80.

Address: 0.0.14.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.80

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

Musical pitch

Heard as a frequency, 3,664 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -29¢)

Position in π

The digit sequence 3664 first appears in π at position 24,717 of the decimal expansion (the 24,717ordinal-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 3664 on Pi Search ↗