The number 3012
3012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 251. Divisors (12): 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3012: a Harshad number: divisible by its digit sum 6.
- 2
3012 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 3012 itself that is 4044, so 3012 is abundant (4044 is more than 3012). Euler's totient φ(3012) = 1000 numbers up to 3012 share no factor with it.
- 4
The digits of 3012 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3012 = 2^{2} \times 3 \times 251 \]3012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1000 |
| Square | 9072144 |
| Cube | 27325297728 |
| Square root | 54.881691 (= 2√753) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.012 × |
3012 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twelve |
| Roman numerals | MMMXII |
| Binary (base 2) | 101111000100 |
| Octal (base 8) | 5704 |
| Hexadecimal (base 16) | BC4 |
| Base 3 | 11010120 |
| As time | 3012 seconds = 50 min 12 s |
Is 3012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3012 ÷ 2 = 1506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3012 ÷ 3 = 1004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3012 ÷ 4 = 753) | 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 | Yes (3012 ÷ 6 = 502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3012 ÷ 12 = 251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3012 a prime number?
No. 3012 = × 3 × 251, so it is divisible by 2.
What are the factors of 3012?
1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012.
What is 3012 in binary?
101111000100 (hexadecimal BC4, octal 5704).
What is the square root of 3012?
About 54.8817, exactly 2√753.
What is 3012 in Roman numerals?
MMMXII.
Is 3012 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3012?
3012 is a Harshad number: divisible by its digit sum 6.