The number 24904
24904 is a composite number with 16 divisors. Its prime factorisation is × 11 × 283. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 283, 566, 1132, 2264, 3113, 6226, 12452, 24904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24904 is composite. Its prime factorisation is
- 3
The divisors add up to 51120; without 24904 itself that is 26216, so 24904 is abundant (26216 is more than 24904). Euler's totient φ(24904) = 11280 numbers up to 24904 share no factor with it.
- 4
The digits of 24904 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24904 = 2^{3} \times 11 \times 283 \]24904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51120 |
| Euler totient φ(n) | 11280 |
| Square | 620209216 |
| Cube | 15445690315264 |
| Square root | 157.810012 (= 2√6226) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4904 × |
24904 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and four |
| Binary (base 2) | 110000101001000 |
| Octal (base 8) | 60510 |
| Hexadecimal (base 16) | 6148 |
| Base 3 | 1021011101 |
| As time | 24904 seconds = 6 h 55 min 4 s |
Is 24904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24904 ÷ 2 = 12452) | 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 (24904 ÷ 4 = 6226) | 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 5) | 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 (24904 ÷ 8 = 3113) | 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 | Yes (24904 ÷ 11 = 2264) | 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 24904 a prime number?
No. 24904 = × 11 × 283, so it is divisible by 2.
What are the factors of 24904?
1, 2, 4, 8, 11, 22, 44, 88, 283, 566, 1132, 2264, 3113, 6226, 12452, 24904.
What is 24904 in binary?
110000101001000 (hexadecimal 6148, octal 60510).
What is the square root of 24904?
About 157.8100, exactly 2√6226.
Is 24904 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 24904?
It is a composite number with 16 divisors.