The number 1193
1193 is the 196th prime number and a binary palindrome (10010101001). Its only divisors are 1 and 1193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1193: the 196th prime number; a binary palindrome (10010101001).
- 2
1193 is prime, so its only factors are 1 and 1193. It is the 196th prime; the next prime is 1201 and the one before is 1187.
- 3
The divisors add up to 1194; without 1193 itself that is 1, so 1193 is deficient (1 is less than 1193). Euler's totient φ(1193) = 1192 numbers up to 1193 share no factor with it.
- 4
The digits of 1193 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
1193 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1194 |
| Euler totient φ(n) | 1192 |
| Square | 1423249 |
| Cube | 1697936057 |
| Square root | 34.539832 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 1.193 × |
1193 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety-three |
| Roman numerals | MCXCIII |
| Binary (base 2) | 10010101001 |
| Octal (base 8) | 2251 |
| Hexadecimal (base 16) | 4A9 |
| Base 3 | 1122012 |
| As time | 1193 seconds = 19 min 53 s |
Is 1193 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1193 a prime number?
Yes. 1193 is divisible only by 1 and itself.
What are the factors of 1193?
1, 1193.
What is 1193 in binary?
10010101001 (hexadecimal 4A9, octal 2251).
What is the square root of 1193?
About 34.5398.
What is 1193 in Roman numerals?
MCXCIII.
Is 1193 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1193?
1193 is the 196th prime number; a binary palindrome (10010101001).