The number 6024
6024 is a composite number with 16 divisors. Its prime factorisation is × 3 × 251. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6024: a Harshad number: divisible by its digit sum 12.
- 2
6024 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 6024 itself that is 9096, so 6024 is abundant (9096 is more than 6024). Euler's totient φ(6024) = 2000 numbers up to 6024 share no factor with it.
- 4
The digits of 6024 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6024 = 2^{3} \times 3 \times 251 \]6024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 2000 |
| Square | 36288576 |
| Cube | 218602381824 |
| Square root | 77.614432 (= 2√1506) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.024 × |
6024 in other forms
| Form | Value |
|---|---|
| In words | six thousand and twenty-four |
| Binary (base 2) | 1011110001000 |
| Octal (base 8) | 13610 |
| Hexadecimal (base 16) | 1788 |
| Base 3 | 22021010 |
| As time | 6024 seconds = 1 h 40 min 24 s |
Is 6024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6024 ÷ 2 = 3012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6024 ÷ 3 = 2008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6024 ÷ 4 = 1506) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6024 ÷ 6 = 1004) | 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 | Yes (6024 ÷ 8 = 753) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6024 ÷ 12 = 502) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6024 a prime number?
No. 6024 = × 3 × 251, so it is divisible by 2.
What are the factors of 6024?
1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024.
What is 6024 in binary?
1011110001000 (hexadecimal 1788, octal 13610).
What is the square root of 6024?
About 77.6144, exactly 2√1506.
Is 6024 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6024?
6024 is a Harshad number: divisible by its digit sum 12.