The number 15671
15671 is the 1829th prime number. Its only divisors are 1 and 15671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15671: the 1829th prime number.
- 2
15671 is prime, so its only factors are 1 and 15671. It is the 1829th prime; the next prime is 15679 and the one before is 15667.
- 3
The divisors add up to 15672; without 15671 itself that is 1, so 15671 is deficient (1 is less than 15671). Euler's totient φ(15671) = 15670 numbers up to 15671 share no factor with it.
- 4
The digits of 15671 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 58 steps to reach 1.
15671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15672 |
| Euler totient φ(n) | 15670 |
| Square | 245580241 |
| Cube | 3848487956711 |
| Square root | 125.183865 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5671 × |
15671 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand six hundred and seventy-one |
| Binary (base 2) | 11110100110111 |
| Octal (base 8) | 36467 |
| Hexadecimal (base 16) | 3D37 |
| Base 3 | 210111102 |
| As time | 15671 seconds = 4 h 21 min 11 s |
Is 15671 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 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 7) | 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 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15671 a prime number?
Yes. 15671 is divisible only by 1 and itself.
What are the factors of 15671?
1, 15671.
What is 15671 in binary?
11110100110111 (hexadecimal 3D37, octal 36467).
What is the square root of 15671?
About 125.1839.
Is 15671 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 15671?
15671 is the 1829th prime number.