The number 8971
8971 is a twin prime (8969 and 8971 are both prime) and the 1116th prime number. Its only divisors are 1 and 8971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8971: a twin prime (8969 and 8971 are both prime); the 1116th prime number.
- 2
8971 is prime, so its only factors are 1 and 8971. It is the 1116th prime; the next prime is 8999 and the one before is 8969.
- 3
The divisors add up to 8972; without 8971 itself that is 1, so 8971 is deficient (1 is less than 8971). Euler's totient φ(8971) = 8970 numbers up to 8971 share no factor with it.
- 4
The digits of 8971 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
8971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8972 |
| Euler totient φ(n) | 8970 |
| Square | 80478841 |
| Cube | 721975682611 |
| Square root | 94.715363 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.971 × |
8971 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and seventy-one |
| Binary (base 2) | 10001100001011 |
| Octal (base 8) | 21413 |
| Hexadecimal (base 16) | 230B |
| Base 3 | 110022021 |
| As time | 8971 seconds = 2 h 29 min 31 s |
Is 8971 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 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 6) | 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 8971 a prime number?
Yes. 8971 is divisible only by 1 and itself.
What are the factors of 8971?
1, 8971.
What is 8971 in binary?
10001100001011 (hexadecimal 230B, octal 21413).
What is the square root of 8971?
About 94.7154.
Is 8971 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8971?
8971 is a twin prime (8969 and 8971 are both prime); the 1116th prime number.