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Number

998

998 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Flippable Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 998 AD

Calendar year

Year 998 (CMXCVIII) was a common year starting on Saturday of the Julian calendar.

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Historical context — 998 BC

Decade

The 990s BC is a decade that lasted from 999 BC to 990 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Monday
January 1, 998
Ended on
Monday
December 31, 998
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
990s
990–999
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,028
1028 years before 2026.

In other calendars

Hebrew
4758 / 4759 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
387 / 389 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1541 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
376 / 377 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
990 / 991 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
920 / 919 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
26
Digit product
648
Digital root
8
Palindrome
No
Bit width
10 bits
Reversed
899
Flips to (rotate 180°)
866
Recamán's sequence
a(4,423) = 998
Square (n²)
996,004
Cube (n³)
994,011,992
Divisor count
4
σ(n) — sum of divisors
1,500
φ(n) — Euler's totient
498
Sum of prime factors
501

Primality

Prime factorization: 2 × 499

Nearest primes: 997 (−1) · 1,009 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 499 (half) · 998
Aliquot sum (sum of proper divisors): 502
Factor pairs (a × b = 998)
1 × 998
2 × 499
First multiples
998 · 1,996 (double) · 2,994 · 3,992 · 4,990 · 5,988 · 6,986 · 7,984 · 8,982 · 9,980

Sums & aliquot sequence

As consecutive integers: 248 + 249 + 250 + 251
Aliquot sequence: 998 502 254 130 122 64 63 41 1 0 — terminates at zero

Representations

In words
nine hundred ninety-eight
Ordinal
998th
Roman numeral
CMXCVIII
Binary
1111100110
Octal
1746
Hexadecimal
0x3E6
Base64
A+Y=
One's complement
64,537 (16-bit)
In other bases
ternary (3) 1100222
quaternary (4) 33212
quinary (5) 12443
senary (6) 4342
septenary (7) 2624
nonary (9) 1328
undecimal (11) 828
duodecimal (12) 6b2
tridecimal (13) 5ba
tetradecimal (14) 514
pentadecimal (15) 468

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡϟηʹ
Mayan (base 20)
𝋢·𝋩·𝋲
Chinese
九百九十八
Chinese (financial)
玖佰玖拾捌
In other modern scripts
Eastern Arabic ٩٩٨ Devanagari ९९८ Bengali ৯৯৮ Tamil ௯௯௮ Thai ๙๙๘ Tibetan ༩༩༨ Khmer ៩៩៨ Lao ໙໙໘ Burmese ၉၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 998 = 1
e — Euler's number (e)
Digit 998 = 0
φ — Golden ratio (φ)
Digit 998 = 9
√2 — Pythagoras's (√2)
Digit 998 = 8
ln 2 — Natural log of 2
Digit 998 = 5
γ — Euler-Mascheroni (γ)
Digit 998 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998, here are decompositions:

  • 7 + 991 = 998
  • 31 + 967 = 998
  • 61 + 937 = 998
  • 79 + 919 = 998
  • 139 + 859 = 998
  • 211 + 787 = 998
  • 229 + 769 = 998
  • 241 + 757 = 998

Showing the first eight; more decompositions exist.

Unicode codepoint
Ϧ
Coptic Capital Letter Khei
U+03E6
Uppercase letter (Lu)

UTF-8 encoding: CF A6 (2 bytes).

Hex color
#0003E6
RGB(0, 3, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.230.

Address
0.0.3.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.230

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