The number 8016
8016 is a composite number with 20 divisors. Its prime factorisation is × 3 × 167. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336 … 8016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8016 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 8016 itself that is 12816, so 8016 is abundant (12816 is more than 8016). Euler's totient φ(8016) = 2656 numbers up to 8016 share no factor with it.
- 4
The digits of 8016 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8016 = 2^{4} \times 3 \times 167 \]8016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 2656 |
| Square | 64256256 |
| Cube | 515078148096 |
| Square root | 89.532117 (= 4√501) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.016 × |
8016 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and sixteen |
| Binary (base 2) | 1111101010000 |
| Octal (base 8) | 17520 |
| Hexadecimal (base 16) | 1F50 |
| Base 3 | 101222220 |
| As time | 8016 seconds = 2 h 13 min 36 s |
Is 8016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8016 ÷ 2 = 4008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8016 ÷ 3 = 2672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8016 ÷ 4 = 2004) | 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 | Yes (8016 ÷ 6 = 1336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (8016 ÷ 8 = 1002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (8016 ÷ 12 = 668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8016 a prime number?
No. 8016 = × 3 × 167, so it is divisible by 2.
What are the factors of 8016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016.
What is 8016 in binary?
1111101010000 (hexadecimal 1F50, octal 17520).
What is the square root of 8016?
About 89.5321, exactly 4√501.
Is 8016 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8016?
It is a composite number with 20 divisors.