The number 24000
24000 is a composite number with 56 divisors. Its prime factorisation is × 3 × . Divisors (56): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32 … 24000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24000: a Harshad number: divisible by its digit sum 6.
- 2
24000 is composite. Its prime factorisation is
- 3
The divisors add up to 79248; without 24000 itself that is 55248, so 24000 is abundant (55248 is more than 24000). Euler's totient φ(24000) = 6400 numbers up to 24000 share no factor with it.
- 4
The digits of 24000 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24000 = 2^{6} \times 3 \times 5^{3} \]24000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 79248 |
| Euler totient φ(n) | 6400 |
| Square | 576000000 |
| Cube | 13824000000000 |
| Square root | 154.919334 (= 40√15) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4 × |
24000 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand |
| Binary (base 2) | 101110111000000 |
| Octal (base 8) | 56700 |
| Hexadecimal (base 16) | 5DC0 |
| Base 3 | 1012220220 |
| As time | 24000 seconds = 6 h 40 min 0 s |
Is 24000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24000 ÷ 2 = 12000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24000 ÷ 3 = 8000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24000 ÷ 4 = 6000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24000 ÷ 5 = 4800) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24000 ÷ 6 = 4000) | 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 (24000 ÷ 8 = 3000) | 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 | Yes (24000 ÷ 10 = 2400) | 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 (24000 ÷ 12 = 2000) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24000 a prime number?
No. 24000 = × 3 × , so it is divisible by 2.
What are the factors of 24000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 150, 160, 192, 200, 240, 250, 300, 320, 375, 400, 480, 500, 600, 750, 800, 960, 1000, 1200, 1500, 1600, 2000, 2400, 3000, 4000, 4800, 6000, 8000, 12000, 24000.
What is 24000 in binary?
101110111000000 (hexadecimal 5DC0, octal 56700).
What is the square root of 24000?
About 154.9193, exactly 40√15.
Is 24000 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 24000?
24000 is a Harshad number: divisible by its digit sum 6.