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2,198

2,198 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
8,912
Recamán's sequence
a(3,355) = 2,198
Square (n²)
4,831,204
Cube (n³)
10,618,986,392
Divisor count
8
σ(n) — sum of divisors
3,792
φ(n) — Euler's totient
936
Sum of prime factors
166

Primality

Prime factorization: 2 × 7 × 157

Nearest primes: 2,179 (−19) · 2,203 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 157 · 314 · 1099 (half) · 2198
Aliquot sum (sum of proper divisors): 1,594
Factor pairs (a × b = 2,198)
1 × 2198
2 × 1099
7 × 314
14 × 157
First multiples
2,198 · 4,396 (double) · 6,594 · 8,792 · 10,990 · 13,188 · 15,386 · 17,584 · 19,782 · 21,980

Sums & aliquot sequence

As consecutive integers: 548 + 549 + 550 + 551 311 + 312 + … + 317 65 + 66 + … + 92
Aliquot sequence: 2,198 1,594 800 1,153 1 0 — terminates at zero

Representations

In words
two thousand one hundred ninety-eight
Ordinal
2198th
Roman numeral
MMCXCVIII
Binary
100010010110
Octal
4226
Hexadecimal
0x896
Base64
CJY=
One's complement
63,337 (16-bit)
In other bases
ternary (3) 10000102
quaternary (4) 202112
quinary (5) 32243
senary (6) 14102
septenary (7) 6260
nonary (9) 3012
undecimal (11) 1719
duodecimal (12) 1332
tridecimal (13) 1001
tetradecimal (14) b30
pentadecimal (15) 9b8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρϟηʹ
Mayan (base 20)
𝋥·𝋩·𝋲
Chinese
二千一百九十八
Chinese (financial)
貳仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ٢١٩٨ Devanagari २१९८ Bengali ২১৯৮ Tamil ௨௧௯௮ Thai ๒๑๙๘ Tibetan ༢༡༩༨ Khmer ២១៩៨ Lao ໒໑໙໘ Burmese ၂၁၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,198 = 1
e — Euler's number (e)
Digit 2,198 = 0
φ — Golden ratio (φ)
Digit 2,198 = 9
√2 — Pythagoras's (√2)
Digit 2,198 = 2
ln 2 — Natural log of 2
Digit 2,198 = 7
γ — Euler-Mascheroni (γ)
Digit 2,198 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2198, here are decompositions:

  • 19 + 2179 = 2198
  • 37 + 2161 = 2198
  • 61 + 2137 = 2198
  • 67 + 2131 = 2198
  • 109 + 2089 = 2198
  • 181 + 2017 = 2198
  • 199 + 1999 = 2198
  • 211 + 1987 = 2198

Showing the first eight; more decompositions exist.

Hex color
#000896
RGB(0, 8, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.150.

Address
0.0.8.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.150

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

Position in π

The digit sequence 2198 first appears in π at position 2,820 of the decimal expansion (the 2,820ordinal-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.