The number 13091
13091 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 53. Divisors (8): 1, 13, 19, 53, 247, 689, 1007, 13091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13091 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13091 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 13091 itself that is 2029, so 13091 is deficient (2029 is less than 13091). Euler's totient φ(13091) = 11232 numbers up to 13091 share no factor with it.
- 4
The digits of 13091 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13091 = 13 \times 19 \times 53 \]
13091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 11232 |
| Square | 171374281 |
| Cube | 2243460712571 |
| Square root | 114.415908 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3091 × |
13091 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety-one |
| Binary (base 2) | 11001100100011 |
| Octal (base 8) | 31443 |
| Hexadecimal (base 16) | 3323 |
| Base 3 | 122221212 |
| As time | 13091 seconds = 3 h 38 min 11 s |
Is 13091 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13091 a prime number?
No. 13091 = 13 × 19 × 53, so it is divisible by 13.
What are the factors of 13091?
1, 13, 19, 53, 247, 689, 1007, 13091.
What is 13091 in binary?
11001100100011 (hexadecimal 3323, octal 31443).
What is the square root of 13091?
About 114.4159.
Is 13091 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13091?
It is a composite number with 8 divisors.