The number 8071
8071 is a composite number with 4 divisors. Its prime factorisation is 7 × 1153. Divisors (4): 1, 7, 1153, 8071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8071: a semiprime: 7 × 1153, the product of two primes.
- 2
8071 is composite. Its prime factorisation is
- 3
The divisors add up to 9232; without 8071 itself that is 1161, so 8071 is deficient (1161 is less than 8071). Euler's totient φ(8071) = 6912 numbers up to 8071 share no factor with it.
- 4
The digits of 8071 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8071 = 7 \times 1153 \]
8071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9232 |
| Euler totient φ(n) | 6912 |
| Square | 65141041 |
| Cube | 525753341911 |
| Square root | 89.838744 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.071 × |
8071 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-one |
| Binary (base 2) | 1111110000111 |
| Octal (base 8) | 17607 |
| Hexadecimal (base 16) | 1F87 |
| Base 3 | 102001221 |
| As time | 8071 seconds = 2 h 14 min 31 s |
Is 8071 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 | Yes (8071 ÷ 7 = 1153) | 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 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 8) | 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 8071 a prime number?
No. 8071 = 7 × 1153, so it is divisible by 7.
What are the factors of 8071?
1, 7, 1153, 8071.
What is 8071 in binary?
1111110000111 (hexadecimal 1F87, octal 17607).
What is the square root of 8071?
About 89.8387.
Is 8071 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8071?
8071 is a semiprime: 7 × 1153, the product of two primes.