The number 24005
24005 is a composite number with 4 divisors. Its prime factorisation is 5 × 4801. Divisors (4): 1, 5, 4801, 24005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24005: a semiprime: 5 × 4801, the product of two primes.
- 2
24005 is composite. Its prime factorisation is
- 3
The divisors add up to 28812; without 24005 itself that is 4807, so 24005 is deficient (4807 is less than 24005). Euler's totient φ(24005) = 19200 numbers up to 24005 share no factor with it.
- 4
The digits of 24005 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24005 = 5 \times 4801 \]
24005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28812 |
| Euler totient φ(n) | 19200 |
| Square | 576240025 |
| Cube | 13832641800125 |
| Square root | 154.935470 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4005 × |
24005 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and five |
| Binary (base 2) | 101110111000101 |
| Octal (base 8) | 56705 |
| Hexadecimal (base 16) | 5DC5 |
| Base 3 | 1012221002 |
| As time | 24005 seconds = 6 h 40 min 5 s |
Is 24005 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 | No (remainder 2) | 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 | Yes (24005 ÷ 5 = 4801) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24005 a prime number?
No. 24005 = 5 × 4801, so it is divisible by 5.
What are the factors of 24005?
1, 5, 4801, 24005.
What is 24005 in binary?
101110111000101 (hexadecimal 5DC5, octal 56705).
What is the square root of 24005?
About 154.9355.
Is 24005 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 24005?
24005 is a semiprime: 5 × 4801, the product of two primes.