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Number

1,098

1,098 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 1098 AD

Calendar year

Year 1098 (MXCVIII) was a common year starting on Friday of the Julian calendar.

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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
Saturday
January 1, 1098
Ended on
Saturday
December 31, 1098
Friday the 13ths
1
One Friday the 13th this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
928
928 years before 2026.

In other calendars

Hebrew
4858 / 4859 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
491 / 492 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1641 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
476 / 477 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1090 / 1091 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1020 / 1019 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
8,901
Flips to (rotate 180°)
8,601
Recamán's sequence
a(304) = 1,098
Square (n²)
1,205,604
Cube (n³)
1,323,753,192
Divisor count
12
σ(n) — sum of divisors
2,418
φ(n) — Euler's totient
360
Sum of prime factors
69

Primality

Prime factorization: 2 × 3 2 × 61

Nearest primes: 1,097 (−1) · 1,103 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 61 · 122 · 183 · 366 · 549 (half) · 1098
Aliquot sum (sum of proper divisors): 1,320
Factor pairs (a × b = 1,098)
1 × 1098
2 × 549
3 × 366
6 × 183
9 × 122
18 × 61
First multiples
1,098 · 2,196 (double) · 3,294 · 4,392 · 5,490 · 6,588 · 7,686 · 8,784 · 9,882 · 10,980

Sums & aliquot sequence

As a sum of two squares: 3² + 33²
As consecutive integers: 365 + 366 + 367 273 + 274 + 275 + 276 118 + 119 + … + 126 86 + 87 + … + 97
Aliquot sequence: 1,098 1,320 3,000 6,360 13,080 26,520 64,200 136,680 303,960 668,040 1,448,760 2,897,880 6,778,920 14,760,600 31,761,720 75,003,840 189,623,520 — unresolved within range

Representations

In words
one thousand ninety-eight
Ordinal
1098th
Roman numeral
MXCVIII
Binary
10001001010
Octal
2112
Hexadecimal
0x44A
Base64
BEo=
One's complement
64,437 (16-bit)
In other bases
ternary (3) 1111200
quaternary (4) 101022
quinary (5) 13343
senary (6) 5030
septenary (7) 3126
nonary (9) 1450
undecimal (11) 909
duodecimal (12) 776
tridecimal (13) 666
tetradecimal (14) 586
pentadecimal (15) 4d3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αϟηʹ
Mayan (base 20)
𝋢·𝋮·𝋲
Chinese
一千零九十八
Chinese (financial)
壹仟零玖拾捌
In other modern scripts
Eastern Arabic ١٠٩٨ Devanagari १०९८ Bengali ১০৯৮ Tamil ௧௦௯௮ Thai ๑๐๙๘ Tibetan ༡༠༩༨ Khmer ១០៩៨ Lao ໑໐໙໘ Burmese ၁၀၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,098 = 3
e — Euler's number (e)
Digit 1,098 = 8
φ — Golden ratio (φ)
Digit 1,098 = 4
√2 — Pythagoras's (√2)
Digit 1,098 = 0
ln 2 — Natural log of 2
Digit 1,098 = 9
γ — Euler-Mascheroni (γ)
Digit 1,098 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1098, here are decompositions:

  • 5 + 1093 = 1098
  • 7 + 1091 = 1098
  • 11 + 1087 = 1098
  • 29 + 1069 = 1098
  • 37 + 1061 = 1098
  • 47 + 1051 = 1098
  • 59 + 1039 = 1098
  • 67 + 1031 = 1098

Showing the first eight; more decompositions exist.

Unicode codepoint
ъ
Cyrillic Small Letter Hard Sign
U+044A
Lowercase letter (Ll)

UTF-8 encoding: D1 8A (2 bytes).

Hex color
#00044A
RGB(0, 4, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.74.

Address
0.0.4.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.74

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

Position in π

The digit sequence 1098 first appears in π at position 3,405 of the decimal expansion (the 3,405ordinal-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.