The number 24004
24004 is a composite number with 12 divisors. Its prime factorisation is × 17 × 353. Divisors (12): 1, 2, 4, 17, 34, 68, 353, 706, 1412, 6001, 12002, 24004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24004 is composite. Its prime factorisation is
- 3
The divisors add up to 44604; without 24004 itself that is 20600, so 24004 is deficient (20600 is less than 24004). Euler's totient φ(24004) = 11264 numbers up to 24004 share no factor with it.
- 4
The digits of 24004 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24004 = 2^{2} \times 17 \times 353 \]24004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44604 |
| Euler totient φ(n) | 11264 |
| Square | 576192016 |
| Cube | 13830913152064 |
| Square root | 154.932243 (= 2√6001) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4004 × |
24004 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and four |
| Binary (base 2) | 101110111000100 |
| Octal (base 8) | 56704 |
| Hexadecimal (base 16) | 5DC4 |
| Base 3 | 1012221001 |
| As time | 24004 seconds = 6 h 40 min 4 s |
Is 24004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24004 ÷ 2 = 12002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24004 ÷ 4 = 6001) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24004 a prime number?
No. 24004 = × 17 × 353, so it is divisible by 2.
What are the factors of 24004?
1, 2, 4, 17, 34, 68, 353, 706, 1412, 6001, 12002, 24004.
What is 24004 in binary?
101110111000100 (hexadecimal 5DC4, octal 56704).
What is the square root of 24004?
About 154.9322, exactly 2√6001.
Is 24004 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24004?
It is a composite number with 12 divisors.