The number 13193
13193 is a composite number with 4 divisors. Its prime factorisation is 79 × 167. Divisors (4): 1, 79, 167, 13193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13193: a semiprime: 79 × 167, the product of two primes.
- 2
13193 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 13193 itself that is 247, so 13193 is deficient (247 is less than 13193). Euler's totient φ(13193) = 12948 numbers up to 13193 share no factor with it.
- 4
The digits of 13193 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13193 = 79 \times 167 \]
13193 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 12948 |
| Square | 174055249 |
| Cube | 2296310900057 |
| Square root | 114.860785 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.3193 × |
13193 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and ninety-three |
| Binary (base 2) | 11001110001001 |
| Octal (base 8) | 31611 |
| Hexadecimal (base 16) | 3389 |
| Base 3 | 200002122 |
| As time | 13193 seconds = 3 h 39 min 53 s |
Is 13193 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 5) | 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 8) | 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 4) | 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 13193 a prime number?
No. 13193 = 79 × 167, so it is divisible by 79.
What are the factors of 13193?
1, 79, 167, 13193.
What is 13193 in binary?
11001110001001 (hexadecimal 3389, octal 31611).
What is the square root of 13193?
About 114.8608.
Is 13193 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13193?
13193 is a semiprime: 79 × 167, the product of two primes.