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16,808

16,808 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.).

16,808 (sixteen thousand eight hundred eight) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 191. Its proper divisors sum to 17,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x41A8.

Abundant Number Arithmetic Number Flippable Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
80,861
Flips to (rotate 180°)
80,891
Recamán's sequence
a(17,620) = 16,808
Square (n²)
282,508,864
Cube (n³)
4,748,408,986,112
Divisor count
16
σ(n) — sum of divisors
34,560
φ(n) — Euler's totient
7,600
Sum of prime factors
208

Primality

Prime factorization: 2 3 × 11 × 191

Nearest primes: 16,787 (−21) · 16,811 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 191 · 382 · 764 · 1528 · 2101 · 4202 · 8404 (half) · 16808
Aliquot sum (sum of proper divisors): 17,752
Factor pairs (a × b = 16,808)
1 × 16808
2 × 8404
4 × 4202
8 × 2101
11 × 1528
22 × 764
44 × 382
88 × 191
First multiples
16,808 · 33,616 (double) · 50,424 · 67,232 · 84,040 · 100,848 · 117,656 · 134,464 · 151,272 · 168,080

Sums & aliquot sequence

As consecutive integers: 1,523 + 1,524 + … + 1,533 1,043 + 1,044 + … + 1,058 8 + 9 + … + 183
Aliquot sequence: 16,808 17,752 20,408 17,872 16,786 14,894 9,514 5,174 3,226 1,616 1,546 776 694 350 394 200 265 — unresolved within range

Continued fraction of √n

√16,808 = [129; (1, 1, 1, 4, 1, 1, 1, 2, 36, 1, 1, 1, 36, 2, 1, 1, 1, 4, 1, 1, 1, 258)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand eight hundred eight
Ordinal
16808th
Binary
100000110101000
Octal
40650
Hexadecimal
0x41A8
Base64
Qag=
One's complement
48,727 (16-bit)
Scientific notation
1.6808 × 10⁴
As a duration
16,808 s = 4 hours, 40 minutes, 8 seconds
In other bases
ternary (3) 212001112
quaternary (4) 10012220
quinary (5) 1014213
senary (6) 205452
septenary (7) 100001
nonary (9) 25045
undecimal (11) 116a0
duodecimal (12) 9888
tridecimal (13) 785c
tetradecimal (14) 61a8
pentadecimal (15) 4ea8
Palindromic in base 7

As an angle

16,808° = 46 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛωηʹ
Mayan (base 20)
𝋢·𝋢·𝋠·𝋨
Chinese
一萬六千八百零八
Chinese (financial)
壹萬陸仟捌佰零捌
In other modern scripts
Eastern Arabic ١٦٨٠٨ Devanagari १६८०८ Bengali ১৬৮০৮ Tamil ௧௬௮௦௮ Thai ๑๖๘๐๘ Tibetan ༡༦༨༠༨ Khmer ១៦៨០៨ Lao ໑໖໘໐໘ Burmese ၁၆၈၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 16,808 = 6
e — Euler's number (e)
Digit 16,808 = 4
φ — Golden ratio (φ)
Digit 16,808 = 3
√2 — Pythagoras's (√2)
Digit 16,808 = 5
ln 2 — Natural log of 2
Digit 16,808 = 5
γ — Euler-Mascheroni (γ)
Digit 16,808 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16808, here are decompositions:

  • 61 + 16747 = 16808
  • 67 + 16741 = 16808
  • 79 + 16729 = 16808
  • 109 + 16699 = 16808
  • 151 + 16657 = 16808
  • 157 + 16651 = 16808
  • 241 + 16567 = 16808
  • 331 + 16477 = 16808

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-41A8
U+41A8
Other letter (Lo)

UTF-8 encoding: E4 86 A8 (3 bytes).

Hex color
#0041A8
RGB(0, 65, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.168.

Address
0.0.65.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.168

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

Musical pitch

Heard as a frequency, 16,808 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +7¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +44¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +8¢)
Position in π

The digit sequence 16808 first appears in π at position 21,361 of the decimal expansion (the 21,361ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.