The number 3024
3024 is a composite number with 40 divisors. Its prime factorisation is × × 7. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28 … 3024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3024: a Harshad number: divisible by its digit sum 9.
- 2
3024 is composite. Its prime factorisation is
- 3
The divisors add up to 9920; without 3024 itself that is 6896, so 3024 is abundant (6896 is more than 3024). Euler's totient φ(3024) = 864 numbers up to 3024 share no factor with it.
- 4
The digits of 3024 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3024 = 2^{4} \times 3^{3} \times 7 \]3024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 9920 |
| Euler totient φ(n) | 864 |
| Square | 9144576 |
| Cube | 27653197824 |
| Square root | 54.990908 (= 12√21) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.024 × |
3024 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty-four |
| Roman numerals | MMMXXIV |
| Binary (base 2) | 101111010000 |
| Octal (base 8) | 5720 |
| Hexadecimal (base 16) | BD0 |
| Base 3 | 11011000 |
| As time | 3024 seconds = 50 min 24 s |
Is 3024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3024 ÷ 2 = 1512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3024 ÷ 3 = 1008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3024 ÷ 4 = 756) | 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 (3024 ÷ 6 = 504) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3024 ÷ 7 = 432) | 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 (3024 ÷ 8 = 378) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3024 ÷ 9 = 336) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3024 ÷ 12 = 252) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3024 a prime number?
No. 3024 = × × 7, so it is divisible by 2.
What are the factors of 3024?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024.
What is 3024 in binary?
101111010000 (hexadecimal BD0, octal 5720).
What is the square root of 3024?
About 54.9909, exactly 12√21.
What is 3024 in Roman numerals?
MMMXXIV.
Is 3024 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3024?
3024 is a Harshad number: divisible by its digit sum 9.