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6,664

6,664 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.).

6,664 (six thousand six hundred sixty-four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 7² × 17. Its proper divisors sum to 8,726, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A08.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
864
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
4,666
Recamán's sequence
a(11,879) = 6,664
Square (n²)
44,408,896
Cube (n³)
295,940,882,944
Divisor count
24
σ(n) — sum of divisors
15,390
φ(n) — Euler's totient
2,688
Sum of prime factors
37

Primality

Prime factorization: 2 3 × 7 2 × 17

Nearest primes: 6,661 (−3) · 6,673 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 17 · 28 · 34 · 49 · 56 · 68 · 98 · 119 · 136 · 196 · 238 · 392 · 476 · 833 · 952 · 1666 · 3332 (half) · 6664
Aliquot sum (sum of proper divisors): 8,726
Factor pairs (a × b = 6,664)
1 × 6664
2 × 3332
4 × 1666
7 × 952
8 × 833
14 × 476
17 × 392
28 × 238
34 × 196
49 × 136
56 × 119
68 × 98
First multiples
6,664 · 13,328 (double) · 19,992 · 26,656 · 33,320 · 39,984 · 46,648 · 53,312 · 59,976 · 66,640

Sums & aliquot sequence

As a sum of two squares: 42² + 70²
As consecutive integers: 949 + 950 + … + 955 409 + 410 + … + 424 384 + 385 + … + 400 112 + 113 + … + 160
Aliquot sequence: 6,664 8,726 4,366 2,474 1,240 1,640 2,140 2,396 1,804 1,724 1,300 1,738 1,142 574 434 334 170 — unresolved within range

Continued fraction of √n

√6,664 = [81; (1, 1, 1, 2, 1, 1, 1, 162)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
six thousand six hundred sixty-four
Ordinal
6664th
Binary
1101000001000
Octal
15010
Hexadecimal
0x1A08
Base64
Ggg=
One's complement
58,871 (16-bit)
Scientific notation
6.664 × 10³
As a duration
6,664 s = 1 hour, 51 minutes, 4 seconds
In other bases
ternary (3) 100010211
quaternary (4) 1220020
quinary (5) 203124
senary (6) 50504
septenary (7) 25300
nonary (9) 10124
undecimal (11) 5009
duodecimal (12) 3a34
tridecimal (13) 3058
tetradecimal (14) 2600
pentadecimal (15) 1e94

As an angle

6,664° = 18 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛχξδʹ
Mayan (base 20)
𝋰·𝋭·𝋤
Chinese
六千六百六十四
Chinese (financial)
陸仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ٦٦٦٤ Devanagari ६६६४ Bengali ৬৬৬৪ Tamil ௬௬௬௪ Thai ๖๖๖๔ Tibetan ༦༦༦༤ Khmer ៦៦៦៤ Lao ໖໖໖໔ Burmese ၆၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 6,664 = 3
e — Euler's number (e)
Digit 6,664 = 5
φ — Golden ratio (φ)
Digit 6,664 = 9
√2 — Pythagoras's (√2)
Digit 6,664 = 1
ln 2 — Natural log of 2
Digit 6,664 = 7
γ — Euler-Mascheroni (γ)
Digit 6,664 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6664, here are decompositions:

  • 3 + 6661 = 6664
  • 5 + 6659 = 6664
  • 11 + 6653 = 6664
  • 83 + 6581 = 6664
  • 101 + 6563 = 6664
  • 113 + 6551 = 6664
  • 173 + 6491 = 6664
  • 191 + 6473 = 6664

Showing the first eight; more decompositions exist.

Unicode codepoint
Buginese Letter Ta
U+1A08
Other letter (Lo)

UTF-8 encoding: E1 A8 88 (3 bytes).

Hex color
#001A08
RGB(0, 26, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.8.

Address
0.0.26.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.8

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

Musical pitch

Heard as a frequency, 6,664 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): G♯8 (6502 Hz, +43¢)
  • Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +6¢)
Position in π

The digit sequence 6664 first appears in π at position 4,435 of the decimal expansion (the 4,435ordinal-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.

Related reading