The number 8671
8671 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 29. Divisors (8): 1, 13, 23, 29, 299, 377, 667, 8671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8671 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 8671 itself that is 1409, so 8671 is deficient (1409 is less than 8671). Euler's totient φ(8671) = 7392 numbers up to 8671 share no factor with it.
- 4
The digits of 8671 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8671 = 13 \times 23 \times 29 \]
8671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 7392 |
| Square | 75186241 |
| Cube | 651939895711 |
| Square root | 93.118204 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.671 × |
8671 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and seventy-one |
| Binary (base 2) | 10000111011111 |
| Octal (base 8) | 20737 |
| Hexadecimal (base 16) | 21DF |
| Base 3 | 102220011 |
| As time | 8671 seconds = 2 h 24 min 31 s |
Is 8671 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 7) | 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 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 8671 a prime number?
No. 8671 = 13 × 23 × 29, so it is divisible by 13.
What are the factors of 8671?
1, 13, 23, 29, 299, 377, 667, 8671.
What is 8671 in binary?
10000111011111 (hexadecimal 21DF, octal 20737).
What is the square root of 8671?
About 93.1182.
Is 8671 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8671?
It is a composite number with 8 divisors.