Number reference
193 explained.
193: one hundred ninety-three, prime; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred ninety-three
- Classification
- prime
- Factors
- 1, 193
- Prime factorization
- 193
- Square root
- 13.892444
- Cube root
- 5.778997
- Binary
- 11000001
- Octal
- 301
- Hexadecimal
- C1
- Roman numeral
- CXCIII
- Digit sum
- 13
- Digital root
- 4
What makes 193 notable
- Prime. 193 is prime: it has exactly two divisors, 1 and itself, so it cannot be split into equal whole-number groups any other way.
193 in everyday use
One hundred ninety-three is the number of member states of the United Nations, a figure reached when South Sudan joined in July 2011. It is quoted whenever a treaty is described as adopted by "all 193 member states", and it is the reason lists of countries often run to about that length, with the Vatican City and Palestine counted as observers rather than members. Few other numbers appear so often in the wording of international agreements.
It is also prime, the second member of the quadruplet 191, 193, 197, 199. Since it leaves remainder 1 on division by 4, it is a Pythagorean prime and splits into two squares: 12² + 7² = 144 + 49. It is a full-reptend prime, its reciprocal repeating with a 192-digit period. Reversing its digits gives 391, which is 17 × 23, so it is not an emirp. It is the 44th prime.
Nearby numbers
How to read this page
Because 193 is prime, the factor list stops at 1 and 193 itself, so it cannot be shared into equal whole-number groups. That is also what makes it useful as a building block: every larger number with 193 in its prime factorisation inherits it from here.
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