The number 13171
13171 is the 1567th prime number. Its only divisors are 1 and 13171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13171: the 1567th prime number.
- 2
13171 is prime, so its only factors are 1 and 13171. It is the 1567th prime; the next prime is 13177 and the one before is 13163.
- 3
The divisors add up to 13172; without 13171 itself that is 1, so 13171 is deficient (1 is less than 13171). Euler's totient φ(13171) = 13170 numbers up to 13171 share no factor with it.
- 4
The digits of 13171 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
13171 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13172 |
| Euler totient φ(n) | 13170 |
| Square | 173475241 |
| Cube | 2284842399211 |
| Square root | 114.764977 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3171 × |
13171 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and seventy-one |
| Binary (base 2) | 11001101110011 |
| Octal (base 8) | 31563 |
| Hexadecimal (base 16) | 3373 |
| Base 3 | 200001211 |
| As time | 13171 seconds = 3 h 39 min 31 s |
Is 13171 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 13171 a prime number?
Yes. 13171 is divisible only by 1 and itself.
What are the factors of 13171?
1, 13171.
What is 13171 in binary?
11001101110011 (hexadecimal 3373, octal 31563).
What is the square root of 13171?
About 114.7650.
Is 13171 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13171?
13171 is the 1567th prime number.