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Number

1,198

1,198 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Flippable Recamán's Sequence Semiprime Squarefree Year

Historical context — 1198 AD

Calendar year

Year 1198 (MCXCVIII) was a common year starting on Thursday of the Julian calendar.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1198
Ended on
Thursday
December 31, 1198
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1190s
1190–1199
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
828
828 years before 2026.

In other calendars

Hebrew
4958 / 4959 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
594 / 595 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1741 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
576 / 577 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1190 / 1191 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1120 / 1119 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
72
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
8,911
Flips to (rotate 180°)
8,611
Recamán's sequence
a(8,592) = 1,198
Square (n²)
1,435,204
Cube (n³)
1,719,374,392
Divisor count
4
σ(n) — sum of divisors
1,800
φ(n) — Euler's totient
598
Sum of prime factors
601

Primality

Prime factorization: 2 × 599

Nearest primes: 1,193 (−5) · 1,201 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 599 (half) · 1198
Aliquot sum (sum of proper divisors): 602
Factor pairs (a × b = 1,198)
1 × 1198
2 × 599
First multiples
1,198 · 2,396 (double) · 3,594 · 4,792 · 5,990 · 7,188 · 8,386 · 9,584 · 10,782 · 11,980

Sums & aliquot sequence

As consecutive integers: 298 + 299 + 300 + 301
Aliquot sequence: 1,198 602 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand one hundred ninety-eight
Ordinal
1198th
Roman numeral
MCXCVIII
Binary
10010101110
Octal
2256
Hexadecimal
0x4AE
Base64
BK4=
One's complement
64,337 (16-bit)
In other bases
ternary (3) 1122101
quaternary (4) 102232
quinary (5) 14243
senary (6) 5314
septenary (7) 3331
nonary (9) 1571
undecimal (11) 99a
duodecimal (12) 83a
tridecimal (13) 712
tetradecimal (14) 618
pentadecimal (15) 54d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρϟηʹ
Mayan (base 20)
𝋢·𝋳·𝋲
Chinese
一千一百九十八
Chinese (financial)
壹仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ١١٩٨ Devanagari ११९८ Bengali ১১৯৮ Tamil ௧௧௯௮ Thai ๑๑๙๘ Tibetan ༡༡༩༨ Khmer ១១៩៨ Lao ໑໑໙໘ Burmese ၁၁၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,198 = 4
e — Euler's number (e)
Digit 1,198 = 6
φ — Golden ratio (φ)
Digit 1,198 = 4
√2 — Pythagoras's (√2)
Digit 1,198 = 5
ln 2 — Natural log of 2
Digit 1,198 = 6
γ — Euler-Mascheroni (γ)
Digit 1,198 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1198, here are decompositions:

  • 5 + 1193 = 1198
  • 11 + 1187 = 1198
  • 17 + 1181 = 1198
  • 47 + 1151 = 1198
  • 89 + 1109 = 1198
  • 101 + 1097 = 1198
  • 107 + 1091 = 1198
  • 137 + 1061 = 1198

Showing the first eight; more decompositions exist.

Unicode codepoint
Ү
Cyrillic Capital Letter Straight U
U+04AE
Uppercase letter (Lu)

UTF-8 encoding: D2 AE (2 bytes).

Hex color
#0004AE
RGB(0, 4, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.174.

Address
0.0.4.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.174

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

Position in π

The digit sequence 1198 first appears in π at position 1,534 of the decimal expansion (the 1,534ordinal-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.