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Number

1,193

1,193 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 1193 AD

Calendar year

Year 1193 (MCXCIII) 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
Friday
January 1, 1193
Ended on
Friday
December 31, 1193
Friday the 13ths
1
One Friday the 13th this year.
Decade
1190s
1190–1199
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
833
833 years before 2026.

In other calendars

Hebrew
4953 / 4954 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
588 / 589 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1736 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
571 / 572 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1185 / 1186 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1115 / 1114 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
27
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
3,911
Recamán's sequence
a(8,602) = 1,193
Square (n²)
1,423,249
Cube (n³)
1,697,936,057
Divisor count
2
σ(n) — sum of divisors
1,194
φ(n) — Euler's totient
1,192

Primality

1,193 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,193)
1 × 1193
First multiples
1,193 · 2,386 (double) · 3,579 · 4,772 · 5,965 · 7,158 · 8,351 · 9,544 · 10,737 · 11,930

Sums & aliquot sequence

As a sum of two squares: 13² + 32²
As consecutive integers: 596 + 597

Representations

In words
one thousand one hundred ninety-three
Ordinal
1193rd
Roman numeral
MCXCIII
Binary
10010101001
Octal
2251
Hexadecimal
0x4A9
Base64
BKk=
One's complement
64,342 (16-bit)
In other bases
ternary (3) 1122012
quaternary (4) 102221
quinary (5) 14233
senary (6) 5305
septenary (7) 3323
nonary (9) 1565
undecimal (11) 995
duodecimal (12) 835
tridecimal (13) 70a
tetradecimal (14) 613
pentadecimal (15) 548

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αρϟγʹ
Mayan (base 20)
𝋢·𝋳·𝋭
Chinese
一千一百九十三
Chinese (financial)
壹仟壹佰玖拾參
In other modern scripts
Eastern Arabic ١١٩٣ Devanagari ११९३ Bengali ১১৯৩ Tamil ௧௧௯௩ Thai ๑๑๙๓ Tibetan ༡༡༩༣ Khmer ១១៩៣ Lao ໑໑໙໓ Burmese ၁၁၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,193 = 8
e — Euler's number (e)
Digit 1,193 = 6
φ — Golden ratio (φ)
Digit 1,193 = 7
√2 — Pythagoras's (√2)
Digit 1,193 = 4
ln 2 — Natural log of 2
Digit 1,193 = 5
γ — Euler-Mascheroni (γ)
Digit 1,193 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,187 (gap of 6)
  • Next prime: 1,201 (gap of 8)

Pair status: sexy with 1187.

Unicode codepoint
ҩ
Cyrillic Small Letter Abkhasian Ha
U+04A9
Lowercase letter (Ll)

UTF-8 encoding: D2 A9 (2 bytes).

Hex color
#0004A9
RGB(0, 4, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.169.

Address
0.0.4.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.169

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001193
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1193 first appears in π at position 3,735 of the decimal expansion (the 3,735ordinal-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.