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4,198

4,198 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.).

4,198 (four thousand one hundred ninety-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 2,099. Written other ways, in hexadecimal, 0x1066.

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

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
288
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
8,914
Recamán's sequence
a(178,887) = 4,198
Square (n²)
17,623,204
Cube (n³)
73,982,210,392
Divisor count
4
σ(n) — sum of divisors
6,300
φ(n) — Euler's totient
2,098
Sum of prime factors
2,101

Primality

Prime factorization: 2 × 2099

Nearest primes: 4,177 (−21) · 4,201 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 2099 (half) · 4198
Aliquot sum (sum of proper divisors): 2,102
Factor pairs (a × b = 4,198)
1 × 4198
2 × 2099
First multiples
4,198 · 8,396 (double) · 12,594 · 16,792 · 20,990 · 25,188 · 29,386 · 33,584 · 37,782 · 41,980

Sums & aliquot sequence

As consecutive integers: 1,048 + 1,049 + 1,050 + 1,051
Aliquot sequence: 4,198 2,102 1,054 674 340 416 466 236 184 176 196 203 37 1 0 — terminates at zero

Continued fraction of √n

√4,198 = [64; (1, 3, 1, 4, 5, 2, 2, 1, 6, 2, 21, 7, 1, 1, 2, 1, 3, 1, 3, 42, 1, 13, 2, 2, …)]

Representations

In words
four thousand one hundred ninety-eight
Ordinal
4198th
Binary
1000001100110
Octal
10146
Hexadecimal
0x1066
Base64
EGY=
One's complement
61,337 (16-bit)
Scientific notation
4.198 × 10³
As a duration
4,198 s = 1 hour, 9 minutes, 58 seconds
In other bases
ternary (3) 12202111
quaternary (4) 1001212
quinary (5) 113243
senary (6) 31234
septenary (7) 15145
nonary (9) 5674
undecimal (11) 3177
duodecimal (12) 251a
tridecimal (13) 1bac
tetradecimal (14) 175c
pentadecimal (15) 139d

As an angle

4,198° = 11 × 360° + 238°
238° ≈ 4.154 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρϟηʹ
Mayan (base 20)
𝋪·𝋩·𝋲
Chinese
四千一百九十八
Chinese (financial)
肆仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ٤١٩٨ Devanagari ४१९८ Bengali ৪১৯৮ Tamil ௪௧௯௮ Thai ๔๑๙๘ Tibetan ༤༡༩༨ Khmer ៤១៩៨ Lao ໔໑໙໘ Burmese ၄၁၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,198 = 6
e — Euler's number (e)
Digit 4,198 = 4
φ — Golden ratio (φ)
Digit 4,198 = 2
√2 — Pythagoras's (√2)
Digit 4,198 = 5
ln 2 — Natural log of 2
Digit 4,198 = 2
γ — Euler-Mascheroni (γ)
Digit 4,198 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4198, here are decompositions:

  • 41 + 4157 = 4198
  • 59 + 4139 = 4198
  • 71 + 4127 = 4198
  • 107 + 4091 = 4198
  • 149 + 4049 = 4198
  • 179 + 4019 = 4198
  • 191 + 4007 = 4198
  • 197 + 4001 = 4198

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Western Pwo Karen Pwa
U+1066
Other letter (Lo)

UTF-8 encoding: E1 81 A6 (3 bytes).

Hex color
#001066
RGB(0, 16, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.102.

Address
0.0.16.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.102

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

Musical pitch

Heard as a frequency, 4,198 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +43¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +6¢)
Position in π

The digit sequence 4198 first appears in π at position 19,239 of the decimal expansion (the 19,239ordinal-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