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8,198

8,198 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.).

8,198 (eight thousand one hundred ninety-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 4,099. Written other ways, in hexadecimal, 0x2006.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
26
Digit product
576
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
8,918
Flips to (rotate 180°)
8,618
Recamán's sequence
a(10,371) = 8,198
Square (n²)
67,207,204
Cube (n³)
550,964,658,392
Divisor count
4
σ(n) — sum of divisors
12,300
φ(n) — Euler's totient
4,098
Sum of prime factors
4,101

Primality

Prime factorization: 2 × 4099

Nearest primes: 8,191 (−7) · 8,209 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 4099 (half) · 8198
Aliquot sum (sum of proper divisors): 4,102
Factor pairs (a × b = 8,198)
1 × 8198
2 × 4099
First multiples
8,198 · 16,396 (double) · 24,594 · 32,792 · 40,990 · 49,188 · 57,386 · 65,584 · 73,782 · 81,980

Sums & aliquot sequence

As consecutive integers: 2,048 + 2,049 + 2,050 + 2,051
Aliquot sequence: 8,198 4,102 2,954 2,134 1,394 874 566 286 218 112 136 134 70 74 40 50 43 — unresolved within range

Continued fraction of √n

√8,198 = [90; (1, 1, 5, 2, 1, 15, 1, 3, 2, 10, 4, 1, 3, 1, 25, 12, 1, 8, 1, 1, 1, 1, 4, 1, …)]

Representations

In words
eight thousand one hundred ninety-eight
Ordinal
8198th
Binary
10000000000110
Octal
20006
Hexadecimal
0x2006
Base64
IAY=
One's complement
57,337 (16-bit)
Scientific notation
8.198 × 10³
As a duration
8,198 s = 2 hours, 16 minutes, 38 seconds
In other bases
ternary (3) 102020122
quaternary (4) 2000012
quinary (5) 230243
senary (6) 101542
septenary (7) 32621
nonary (9) 12218
undecimal (11) 6183
duodecimal (12) 48b2
tridecimal (13) 3968
tetradecimal (14) 2db8
pentadecimal (15) 2668

As an angle

8,198° = 22 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρϟηʹ
Mayan (base 20)
𝋡·𝋠·𝋩·𝋲
Chinese
八千一百九十八
Chinese (financial)
捌仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ٨١٩٨ Devanagari ८१९८ Bengali ৮১৯৮ Tamil ௮௧௯௮ Thai ๘๑๙๘ Tibetan ༨༡༩༨ Khmer ៨១៩៨ Lao ໘໑໙໘ Burmese ၈၁၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 8,198 = 0
e — Euler's number (e)
Digit 8,198 = 6
φ — Golden ratio (φ)
Digit 8,198 = 1
√2 — Pythagoras's (√2)
Digit 8,198 = 7
ln 2 — Natural log of 2
Digit 8,198 = 0
γ — Euler-Mascheroni (γ)
Digit 8,198 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8198, here are decompositions:

  • 7 + 8191 = 8198
  • 19 + 8179 = 8198
  • 31 + 8167 = 8198
  • 37 + 8161 = 8198
  • 97 + 8101 = 8198
  • 109 + 8089 = 8198
  • 139 + 8059 = 8198
  • 181 + 8017 = 8198

Showing the first eight; more decompositions exist.

Unicode codepoint
Six-Per-Em Space
U+2006
Space separator (Zs)

UTF-8 encoding: E2 80 86 (3 bytes).

Hex color
#002006
RGB(0, 32, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.6.

Address
0.0.32.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.6

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

Musical pitch

Heard as a frequency, 8,198 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -36¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +1¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -35¢)
Position in π

The digit sequence 8198 first appears in π at position 7,040 of the decimal expansion (the 7,040ordinal-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

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