The number 24012
24012 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 29. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 29, 36, 46, 58, 69, 87, 92 … 24012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24012: a Harshad number: divisible by its digit sum 9.
- 2
24012 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 24012 itself that is 41508, so 24012 is abundant (41508 is more than 24012). Euler's totient φ(24012) = 7392 numbers up to 24012 share no factor with it.
- 4
The digits of 24012 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24012 = 2^{2} \times 3^{2} \times 23 \times 29 \]24012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 7392 |
| Square | 576576144 |
| Cube | 13844746369728 |
| Square root | 154.958059 (= 6√667) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4012 × |
24012 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and twelve |
| Binary (base 2) | 101110111001100 |
| Octal (base 8) | 56714 |
| Hexadecimal (base 16) | 5DCC |
| Base 3 | 1012221100 |
| As time | 24012 seconds = 6 h 40 min 12 s |
Is 24012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24012 ÷ 2 = 12006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24012 ÷ 3 = 8004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24012 ÷ 4 = 6003) | 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 (24012 ÷ 6 = 4002) | 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 | Yes (24012 ÷ 9 = 2668) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24012 ÷ 12 = 2001) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24012 a prime number?
No. 24012 = × × 23 × 29, so it is divisible by 2.
What are the factors of 24012?
1, 2, 3, 4, 6, 9, 12, 18, 23, 29, 36, 46, 58, 69, 87, 92, 116, 138, 174, 207, 261, 276, 348, 414, 522, 667, 828, 1044, 1334, 2001, 2668, 4002, 6003, 8004, 12006, 24012.
What is 24012 in binary?
101110111001100 (hexadecimal 5DCC, octal 56714).
What is the square root of 24012?
About 154.9581, exactly 6√667.
Is 24012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24012?
24012 is a Harshad number: divisible by its digit sum 9.