The number 29824
29824 is a composite number with 16 divisors. Its prime factorisation is × 233. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 233, 466, 932, 1864, 3728, 7456, 14912, 29824.
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How to work it out
- 1
29824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29824 is composite. Its prime factorisation is
- 3
The divisors add up to 59670; without 29824 itself that is 29846, so 29824 is abundant (29846 is more than 29824). Euler's totient φ(29824) = 14848 numbers up to 29824 share no factor with it.
- 4
The digits of 29824 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29824 = 2^{7} \times 233 \]29824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 59670 |
| Euler totient φ(n) | 14848 |
| Square | 889470976 |
| Cube | 26527582388224 |
| Square root | 172.696265 (= 8√466) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9824 × |
29824 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and twenty-four |
| Binary (base 2) | 111010010000000 |
| Octal (base 8) | 72200 |
| Hexadecimal (base 16) | 7480 |
| Base 3 | 1111220121 |
| As time | 29824 seconds = 8 h 17 min 4 s |
Is 29824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29824 ÷ 2 = 14912) | 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 (29824 ÷ 4 = 7456) | 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 4) | 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 (29824 ÷ 8 = 3728) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 29824 a prime number?
No. 29824 = × 233, so it is divisible by 2.
What are the factors of 29824?
1, 2, 4, 8, 16, 32, 64, 128, 233, 466, 932, 1864, 3728, 7456, 14912, 29824.
What is 29824 in binary?
111010010000000 (hexadecimal 7480, octal 72200).
What is the square root of 29824?
About 172.6963, exactly 8√466.
Is 29824 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29824?
It is a composite number with 16 divisors.