193

Basic Information

Cardinal Number

one hundred and ninety-three

Ordinal Number

one hundred and ninety third

Roman Numeral

CXCIII

Greek Numeral

ΡϞΓ´

Factorization

193

Standard Form

1.93 × 10²

Different Representations

Binary Form

11000001₂

Ternary Form

21011₃

Quaternary Form

3001₄

Quinary Form

1233₅

Senary Form

521₆

Septenary Form

364₇

Octal Form

301₈

Nonary Form

234₉

Undecimal Form

166₁₁

Duodecimal Form

141₁₂

Tridecimal Form

11B₁₃

Quattuordecimal Form

DB₁₄

Quindecimal Form

CD₁₅

Hexadecimal Form

C1₁₆

Septendecimal Form

B6₁₇

Octodecimal Form

AD₁₈

Novemdecimal Form

A3₁₉

Vigesimal Form

9D₂₀

Unvigesimal Form

94₂₁

Duovigesimal Form

8H₂₂

Trevigesimal Form

89₂₃

Quattuorvigesimal Form

81₂₄

Quinvigesimal Form

7I₂₅

Hexavigesimal Form

7B₂₆

Septenvigesimal Form

74₂₇

Octovigesimal Form

6P₂₈

Novemvigesimal Form

6J₂₉

Trigesimal Form

6D₃₀

Untrigesimal Form

67₃₁

Duotrigesimal Form

61₃₂

Tretrigesimal Form

5S₃₃

Quattuortrigesimal Form

5N₃₄

Quintrigesimal Form

5I₃₅

Hexatrigesimal Form

5D₃₆

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191	193	197

193 is a 3-digit prime number. 193 has 2 factors, 1 and 193. It is the 44th prime number, and the nineteenth prime number from 101-200.

Proofs[]

— 193 is divisible by 1.

— 193 is not divisible by 2-192.

— 193 is divisible by 193.

Therefore, 193 is a prime number.

As an Exponent of Mersenne Number[]

2¹⁹³ - 1 is divisible by 13,821,503, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

181 is the second previous prime number.
183 is a composite number. Its prime factorization is 3 × 61.
185 is also a composite number. Its prime factorization is 5 × 37.
187 is another composite number. Its prime factorization is 11 × 17.
189 is yet another composite number. Its prime factorization is 3³ × 7.
191 is the odd number and prime number preceding 193.
- The difference between 193 and 191 is 2. Therefore, they are twin primes.

The numbers after[]

195 is the odd number following 193. It is a composite number; its prime factorization is 3 × 5 × 13.
- Notably, 195 is a sphenic number since it has exactly three prime factors.
197 is the prime number following 193.
- The difference between 197 and 193 is 4. Therefore, they are cousin primes.
199 is the prime number following 197.
- The difference between 199 and 193 is 6. Therefore, they are sexy primes.

Trivia[]

193 is part of the prime quadruplet (191, 193, 197, 199).
193 is the only known odd prime p where 2 is not a primitive root for 4p² + 1.
193 is the eighth numerator of convergents to Euler's number e, correct to three decimal places: $e\approx {\frac {193}{71}}=\mathbf {2.718} 309859...$
193 is the number of nations recognized by the United Nations Organization.

Navigation[]

Prime Numbers 1-1,000

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401-600
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501-550	503 • 509 • 521 • 523 • 541 • 547
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751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
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851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997