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6,808

6,808 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.).

6,808 (six thousand eight hundred eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 37. Its proper divisors sum to 6,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A98.

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
8,086
Flips to (rotate 180°)
8,089
Recamán's sequence
a(26,728) = 6,808
Square (n²)
46,348,864
Cube (n³)
315,543,066,112
Divisor count
16
σ(n) — sum of divisors
13,680
φ(n) — Euler's totient
3,168
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 23 × 37

Nearest primes: 6,803 (−5) · 6,823 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 23 · 37 · 46 · 74 · 92 · 148 · 184 · 296 · 851 · 1702 · 3404 (half) · 6808
Aliquot sum (sum of proper divisors): 6,872
Factor pairs (a × b = 6,808)
1 × 6808
2 × 3404
4 × 1702
8 × 851
23 × 296
37 × 184
46 × 148
74 × 92
First multiples
6,808 · 13,616 (double) · 20,424 · 27,232 · 34,040 · 40,848 · 47,656 · 54,464 · 61,272 · 68,080

Sums & aliquot sequence

As consecutive integers: 418 + 419 + … + 433 285 + 286 + … + 307 166 + 167 + … + 202
Aliquot sequence: 6,808 6,872 6,028 5,564 5,020 5,564 — enters a cycle

Continued fraction of √n

√6,808 = [82; (1, 1, 23, 13, 1, 2, 2, 3, 1, 1, 2, 17, 1, 17, 2, 1, 1, 3, 2, 2, 1, 13, 23, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
six thousand eight hundred eight
Ordinal
6808th
Binary
1101010011000
Octal
15230
Hexadecimal
0x1A98
Base64
Gpg=
One's complement
58,727 (16-bit)
Scientific notation
6.808 × 10³
As a duration
6,808 s = 1 hour, 53 minutes, 28 seconds
In other bases
ternary (3) 100100011
quaternary (4) 1222120
quinary (5) 204213
senary (6) 51304
septenary (7) 25564
nonary (9) 10304
undecimal (11) 512a
duodecimal (12) 3b34
tridecimal (13) 3139
tetradecimal (14) 26a4
pentadecimal (15) 203d

As an angle

6,808° = 18 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛωηʹ
Mayan (base 20)
𝋱·𝋠·𝋨
Chinese
六千八百零八
Chinese (financial)
陸仟捌佰零捌
In other modern scripts
Eastern Arabic ٦٨٠٨ Devanagari ६८०८ Bengali ৬৮০৮ Tamil ௬௮௦௮ Thai ๖๘๐๘ Tibetan ༦༨༠༨ Khmer ៦៨០៨ Lao ໖໘໐໘ Burmese ၆၈၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 6,808 = 2
e — Euler's number (e)
Digit 6,808 = 7
φ — Golden ratio (φ)
Digit 6,808 = 6
√2 — Pythagoras's (√2)
Digit 6,808 = 3
ln 2 — Natural log of 2
Digit 6,808 = 5
γ — Euler-Mascheroni (γ)
Digit 6,808 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6808, here are decompositions:

  • 5 + 6803 = 6808
  • 17 + 6791 = 6808
  • 29 + 6779 = 6808
  • 47 + 6761 = 6808
  • 71 + 6737 = 6808
  • 89 + 6719 = 6808
  • 107 + 6701 = 6808
  • 149 + 6659 = 6808

Showing the first eight; more decompositions exist.

Unicode codepoint
Tai Tham Tham Digit Eight
U+1A98
Decimal digit (Nd)

UTF-8 encoding: E1 AA 98 (3 bytes).

Hex color
#001A98
RGB(0, 26, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.152.

Address
0.0.26.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.152

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

Musical pitch

Heard as a frequency, 6,808 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +42¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -20¢)
  • Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +43¢)
Position in π

The digit sequence 6808 first appears in π at position 2,248 of the decimal expansion (the 2,248ordinal-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