Live analysis

6,684

6,684 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.).

6,684 (six thousand six hundred eighty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 557. Its proper divisors sum to 8,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

6,672 6,673 6,674 6,675 6,676 6,677 6,678 6,679 6,680 6,681 6,682 6,683 6,684 6,685 6,686 6,687 6,688 6,689 6,690 6,691 6,692 6,693 6,694 6,695 6,696

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 24
Digit product: 1,152
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 4,866
Recamán's sequence: a(11,839) = 6,684
Square (n²): 44,675,856
Cube (n³): 298,613,421,504
Divisor count: 12
σ(n) — sum of divisors: 15,624
φ(n) — Euler's totient: 2,224
Sum of prime factors: 564

Primality

Prime factorization: 2 ² × 3 × 557

Nearest primes: 6,679 (−5) · 6,689 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 557 · 1114 · 1671 · 2228 · 3342 (half) · 6684

Aliquot sum (sum of proper divisors): 8,940

Factor pairs (a × b = 6,684)

1 × 6684

2 × 3342

3 × 2228

4 × 1671

6 × 1114

12 × 557

First multiples

6,684 · 13,368 (double) · 20,052 · 26,736 · 33,420 · 40,104 · 46,788 · 53,472 · 60,156 · 66,840

Sums & aliquot sequence

As consecutive integers: 2,227 + 2,228 + 2,229 832 + 833 + … + 839 267 + 268 + … + 290

Aliquot sequence: 6,684 → 8,940 → 16,260 → 29,436 → 45,828 → 77,932 → 58,456 → 51,164 → 38,380 → 47,300 → 67,276 → 63,064 → 55,196 → 41,404 → 37,724 → 28,300 → 33,328 — unresolved within range

Continued fraction of √n

√6,684 = [81; (1, 3, 10, 1, 1, 1, 6, 6, 2, 1, 1, 3, 2, 40, 2, 3, 1, 1, 2, 6, 6, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: six thousand six hundred eighty-four
Ordinal: 6684th
Binary: 1101000011100
Octal: 15034
Hexadecimal: 0x1A1C
Base64: Ghw=
One's complement: 58,851 (16-bit)
Scientific notation: 6.684 × 10³
As a duration: 6,684 s = 1 hour, 51 minutes, 24 seconds

In other bases

ternary (3) 100011120

quaternary (4) 1220130

quinary (5) 203214

senary (6) 50540

septenary (7) 25326

nonary (9) 10146

undecimal (11) 5027

duodecimal (12) 3a50

tridecimal (13) 3072

tetradecimal (14) 2616

pentadecimal (15) 1ea9

As an angle

6,684° = 18 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϛχπδʹ
Mayan (base 20): 𝋰·𝋮·𝋤
Chinese: 六千六百八十四
Chinese (financial): 陸仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ٦٦٨٤ Devanagari ६६८४ Bengali ৬৬৮৪ Tamil ௬௬௮௪ Thai ๖๖๘๔ Tibetan ༦༦༨༤ Khmer ៦៦៨៤ Lao ໖໖໘໔ Burmese ၆၆၈၄

Digit at this position in famous constants

π — Pi (π): Digit 6,684 = 4
e — Euler's number (e): Digit 6,684 = 5
φ — Golden ratio (φ): Digit 6,684 = 4
√2 — Pythagoras's (√2): Digit 6,684 = 5
ln 2 — Natural log of 2: Digit 6,684 = 8
γ — Euler-Mascheroni (γ): Digit 6,684 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6684, here are decompositions:

5 + 6679 = 6684
11 + 6673 = 6684
23 + 6661 = 6684
31 + 6653 = 6684
47 + 6637 = 6684
103 + 6581 = 6684
107 + 6577 = 6684
113 + 6571 = 6684

Showing the first eight; more decompositions exist.

Hex color

#001A1C

RGB(0, 26, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.28.

Address: 0.0.26.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.26.28

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

Musical pitch

Heard as a frequency, 6,684 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): G♯8 (6502 Hz, +48¢ — about midway to A8)
Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +11¢)

Position in π

The digit sequence 6684 first appears in π at position 1,287 of the decimal expansion (the 1,287ordinal-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 6684 on Pi Search ↗