number.wiki
Number

193

193 is a prime, odd, a calendar year.

193 (one hundred ninety-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CXCIII and in binary, 11000001.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Interestingness

10 notable facts · grade A
less more

Historical context — 193 AD

Calendar year

Year 193 (CXCIII) was a common year starting on Monday of the Julian calendar.

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

Historical context — 193 BC

Calendar year

Year 193 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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
Tuesday
January 1, 193
Ended on
Tuesday
December 31, 193
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
190s
190–199
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,833
1833 years before 2026.

In other calendars

Hebrew
3953 / 3954 AM
Rosh Hashanah falls in September/October.
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
736 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
185 / 186 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
115 / 114 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
13
Digit product
27
Digital root
4
Palindrome
No
Bit width
8 bits
Reversed
391
Recamán's sequence
a(1,385) = 193
Square (n²)
37,249
Cube (n³)
7,189,057
Divisor count
2
σ(n) — sum of divisors
194
φ(n) — Euler's totient
192

Primality

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

Divisors & multiples

All divisors (2)
1 · 193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 193)
1 × 193
First multiples
193 · 386 (double) · 579 · 772 · 965 · 1,158 · 1,351 · 1,544 · 1,737 · 1,930

Sums & aliquot sequence

As a sum of two squares: 7² + 12²
As consecutive integers: 96 + 97

Continued fraction of √n

√193 = [13; (1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred ninety-three
Ordinal
193rd
Roman numeral
CXCIII
Binary
11000001
Octal
301
Hexadecimal
0xC1
Base64
wQ==
One's complement
62 (8-bit)
Scientific notation
1.93 × 10²
As a duration
193 s = 3 minutes, 13 seconds
In other bases
ternary (3) 21011
quaternary (4) 3001
quinary (5) 1233
senary (6) 521
septenary (7) 364
nonary (9) 234
undecimal (11) 166
duodecimal (12) 141
tridecimal (13) 11b
tetradecimal (14) db
pentadecimal (15) cd
Palindromic in base 12

As an angle

193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
ρϟγʹ
Mayan (base 20)
𝋩·𝋭
Chinese
一百九十三
Chinese (financial)
壹佰玖拾參
In other modern scripts
Eastern Arabic ١٩٣ Devanagari १९३ Bengali ১৯৩ Tamil ௧௯௩ Thai ๑๙๓ Tibetan ༡༩༣ Khmer ១៩៣ Lao ໑໙໓ Burmese ၁၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 193 = 4
e — Euler's number (e)
Digit 193 = 5
φ — Golden ratio (φ)
Digit 193 = 8
√2 — Pythagoras's (√2)
Digit 193 = 2
ln 2 — Natural log of 2
Digit 193 = 3
γ — Euler-Mascheroni (γ)
Digit 193 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 191 (gap of 2)
  • Next prime: 197 (gap of 4)

Pair status: twin with 191, cousin with 197.

Unicode codepoint
Á
Latin Capital Letter A With Acute
U+00C1
Uppercase letter (Lu)

UTF-8 encoding: C3 81 (2 bytes).

Hex color
#0000C1
RGB(0, 0, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.193.

Address
0.0.0.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.193

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

Musical pitch

Heard as a frequency, 193 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G3 (196 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): G3 (191.8 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): G♯3 (195.9 Hz, -25¢)

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.