The number 13493
13493 is a composite number with 4 divisors. Its prime factorisation is 103 × 131. Divisors (4): 1, 103, 131, 13493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13493: a semiprime: 103 × 131, the product of two primes.
- 2
13493 is composite. Its prime factorisation is
- 3
The divisors add up to 13728; without 13493 itself that is 235, so 13493 is deficient (235 is less than 13493). Euler's totient φ(13493) = 13260 numbers up to 13493 share no factor with it.
- 4
The digits of 13493 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13493 = 103 \times 131 \]
13493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13728 |
| Euler totient φ(n) | 13260 |
| Square | 182061049 |
| Cube | 2456549734157 |
| Square root | 116.159373 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3493 × |
13493 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and ninety-three |
| Binary (base 2) | 11010010110101 |
| Octal (base 8) | 32265 |
| Hexadecimal (base 16) | 34B5 |
| Base 3 | 200111202 |
| As time | 13493 seconds = 3 h 44 min 53 s |
Is 13493 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 13493 a prime number?
No. 13493 = 103 × 131, so it is divisible by 103.
What are the factors of 13493?
1, 103, 131, 13493.
What is 13493 in binary?
11010010110101 (hexadecimal 34B5, octal 32265).
What is the square root of 13493?
About 116.1594.
Is 13493 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13493?
13493 is a semiprime: 103 × 131, the product of two primes.