The number 6012
6012 is a composite number with 18 divisors. Its prime factorisation is × × 167. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004 … 6012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6012: a Harshad number: divisible by its digit sum 9.
- 2
6012 is composite. Its prime factorisation is
- 3
The divisors add up to 15288; without 6012 itself that is 9276, so 6012 is abundant (9276 is more than 6012). Euler's totient φ(6012) = 1992 numbers up to 6012 share no factor with it.
- 4
The digits of 6012 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6012 = 2^{2} \times 3^{2} \times 167 \]6012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 15288 |
| Euler totient φ(n) | 1992 |
| Square | 36144144 |
| Cube | 217298593728 |
| Square root | 77.537088 (= 6√167) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 6.012 × |
6012 in other forms
| Form | Value |
|---|---|
| In words | six thousand and twelve |
| Binary (base 2) | 1011101111100 |
| Octal (base 8) | 13574 |
| Hexadecimal (base 16) | 177C |
| Base 3 | 22020200 |
| As time | 6012 seconds = 1 h 40 min 12 s |
Is 6012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6012 ÷ 2 = 3006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6012 ÷ 3 = 2004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6012 ÷ 4 = 1503) | 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 (6012 ÷ 6 = 1002) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (6012 ÷ 9 = 668) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6012 ÷ 12 = 501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6012 a prime number?
No. 6012 = × × 167, so it is divisible by 2.
What are the factors of 6012?
1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012.
What is 6012 in binary?
1011101111100 (hexadecimal 177C, octal 13574).
What is the square root of 6012?
About 77.5371, exactly 6√167.
Is 6012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 6012?
6012 is a Harshad number: divisible by its digit sum 9.