The number 24009
24009 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 151. Divisors (8): 1, 3, 53, 151, 159, 453, 8003, 24009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24009 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 24009 itself that is 8823, so 24009 is deficient (8823 is less than 24009). Euler's totient φ(24009) = 15600 numbers up to 24009 share no factor with it.
- 4
The digits of 24009 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24009 = 3 \times 53 \times 151 \]
24009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 15600 |
| Square | 576432081 |
| Cube | 13839557832729 |
| Square root | 154.948379 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.4009 × |
24009 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and nine |
| Binary (base 2) | 101110111001001 |
| Octal (base 8) | 56711 |
| Hexadecimal (base 16) | 5DC9 |
| Base 3 | 1012221020 |
| As time | 24009 seconds = 6 h 40 min 9 s |
Is 24009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24009 ÷ 3 = 8003) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | 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 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24009 a prime number?
No. 24009 = 3 × 53 × 151, so it is divisible by 3.
What are the factors of 24009?
1, 3, 53, 151, 159, 453, 8003, 24009.
What is 24009 in binary?
101110111001001 (hexadecimal 5DC9, octal 56711).
What is the square root of 24009?
About 154.9484.
Is 24009 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24009?
It is a composite number with 8 divisors.