The number 13291
13291 is the 1578th prime number. Its only divisors are 1 and 13291.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13291: the 1578th prime number.
- 2
13291 is prime, so its only factors are 1 and 13291. It is the 1578th prime; the next prime is 13297 and the one before is 13267.
- 3
The divisors add up to 13292; without 13291 itself that is 1, so 13291 is deficient (1 is less than 13291). Euler's totient φ(13291) = 13290 numbers up to 13291 share no factor with it.
- 4
The digits of 13291 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
13291 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13292 |
| Euler totient φ(n) | 13290 |
| Square | 176650681 |
| Cube | 2347864201171 |
| Square root | 115.286599 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3291 × |
13291 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and ninety-one |
| Binary (base 2) | 11001111101011 |
| Octal (base 8) | 31753 |
| Hexadecimal (base 16) | 33EB |
| Base 3 | 200020021 |
| As time | 13291 seconds = 3 h 41 min 31 s |
Is 13291 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 1) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13291 a prime number?
Yes. 13291 is divisible only by 1 and itself.
What are the factors of 13291?
1, 13291.
What is 13291 in binary?
11001111101011 (hexadecimal 33EB, octal 31753).
What is the square root of 13291?
About 115.2866.
Is 13291 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13291?
13291 is the 1578th prime number.