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Number

1,093

1,093 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 1093 AD

Calendar year

Year 1093 (MXCIII) was a common year starting on Saturday 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
Sunday
January 1, 1093
Ended on
Sunday
December 31, 1093
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
933
933 years before 2026.

In other calendars

Hebrew
4853 / 4854 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
485 / 486 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1636 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
471 / 472 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1085 / 1086 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1015 / 1014 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
3,901
Recamán's sequence
a(294) = 1,093
Square (n²)
1,194,649
Cube (n³)
1,305,751,357
Divisor count
2
σ(n) — sum of divisors
1,094
φ(n) — Euler's totient
1,092

Primality

1,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,093)
1 × 1093
First multiples
1,093 · 2,186 (double) · 3,279 · 4,372 · 5,465 · 6,558 · 7,651 · 8,744 · 9,837 · 10,930

Sums & aliquot sequence

As a sum of two squares: 2² + 33²
As consecutive integers: 546 + 547

Representations

In words
one thousand ninety-three
Ordinal
1093rd
Roman numeral
MXCIII
Binary
10001000101
Octal
2105
Hexadecimal
0x445
Base64
BEU=
One's complement
64,442 (16-bit)
In other bases
ternary (3) 1111111
quaternary (4) 101011
quinary (5) 13333
senary (6) 5021
septenary (7) 3121
nonary (9) 1444
undecimal (11) 904
duodecimal (12) 771
tridecimal (13) 661
tetradecimal (14) 581
pentadecimal (15) 4cd

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αϟγʹ
Mayan (base 20)
𝋢·𝋮·𝋭
Chinese
一千零九十三
Chinese (financial)
壹仟零玖拾參
In other modern scripts
Eastern Arabic ١٠٩٣ Devanagari १०९३ Bengali ১০৯৩ Tamil ௧௦௯௩ Thai ๑๐๙๓ Tibetan ༡༠༩༣ Khmer ១០៩៣ Lao ໑໐໙໓ Burmese ၁၀၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,093 = 3
e — Euler's number (e)
Digit 1,093 = 9
φ — Golden ratio (φ)
Digit 1,093 = 5
√2 — Pythagoras's (√2)
Digit 1,093 = 3
ln 2 — Natural log of 2
Digit 1,093 = 0
γ — Euler-Mascheroni (γ)
Digit 1,093 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,091 (gap of 2)
  • Next prime: 1,097 (gap of 4)

Pair status: twin with 1091, cousin with 1097.

Unicode codepoint
х
Cyrillic Small Letter Ha
U+0445
Lowercase letter (Ll)

UTF-8 encoding: D1 85 (2 bytes).

Hex color
#000445
RGB(0, 4, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.69.

Address
0.0.4.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.69

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

Position in π

The digit sequence 1093 first appears in π at position 14,026 of the decimal expansion (the 14,026ordinal-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.