The number 24704
24704 is a composite number with 16 divisors. Its prime factorisation is × 193. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 193, 386, 772, 1544, 3088, 6176, 12352, 24704.
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How to work it out
- 1
24704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24704 is composite. Its prime factorisation is
- 3
The divisors add up to 49470; without 24704 itself that is 24766, so 24704 is abundant (24766 is more than 24704). Euler's totient φ(24704) = 12288 numbers up to 24704 share no factor with it.
- 4
The digits of 24704 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24704 = 2^{7} \times 193 \]24704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49470 |
| Euler totient φ(n) | 12288 |
| Square | 610287616 |
| Cube | 15076545265664 |
| Square root | 157.175062 (= 8√386) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.4704 × |
24704 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and four |
| Binary (base 2) | 110000010000000 |
| Octal (base 8) | 60200 |
| Hexadecimal (base 16) | 6080 |
| Base 3 | 1020212222 |
| As time | 24704 seconds = 6 h 51 min 44 s |
Is 24704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24704 ÷ 2 = 12352) | 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 | Yes (24704 ÷ 4 = 6176) | 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 2) | 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 | Yes (24704 ÷ 8 = 3088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24704 a prime number?
No. 24704 = × 193, so it is divisible by 2.
What are the factors of 24704?
1, 2, 4, 8, 16, 32, 64, 128, 193, 386, 772, 1544, 3088, 6176, 12352, 24704.
What is 24704 in binary?
110000010000000 (hexadecimal 6080, octal 60200).
What is the square root of 24704?
About 157.1751, exactly 8√386.
Is 24704 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24704?
It is a composite number with 16 divisors.