Number

193

193 is a prime, odd, a calendar year.

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

Historical context — 193 AD

Calendar year

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

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Historical context — 193 BC

Calendar year

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

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)

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

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

Latin Capital Letter A With Acute

U+00C1

Uppercase letter (Lu)

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

Lookup U+00C1 on Compart ↗ Lookup on FileFormat.Info ↗

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.