The number 8012
8012 is a composite number with 6 divisors. Its prime factorisation is × 2003. Divisors (6): 1, 2, 4, 2003, 4006, 8012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8012 is composite. Its prime factorisation is
- 3
The divisors add up to 14028; without 8012 itself that is 6016, so 8012 is deficient (6016 is less than 8012). Euler's totient φ(8012) = 4004 numbers up to 8012 share no factor with it.
- 4
The digits of 8012 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8012 = 2^{2} \times 2003 \]8012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14028 |
| Euler totient φ(n) | 4004 |
| Square | 64192144 |
| Cube | 514307457728 |
| Square root | 89.509776 (= 2√2003) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 8.012 × |
8012 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twelve |
| Binary (base 2) | 1111101001100 |
| Octal (base 8) | 17514 |
| Hexadecimal (base 16) | 1F4C |
| Base 3 | 101222202 |
| As time | 8012 seconds = 2 h 13 min 32 s |
Is 8012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8012 ÷ 2 = 4006) | 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 | Yes (8012 ÷ 4 = 2003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8012 a prime number?
No. 8012 = × 2003, so it is divisible by 2.
What are the factors of 8012?
1, 2, 4, 2003, 4006, 8012.
What is 8012 in binary?
1111101001100 (hexadecimal 1F4C, octal 17514).
What is the square root of 8012?
About 89.5098, exactly 2√2003.
Is 8012 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 8012?
It is a composite number with 6 divisors.