The number 29024
29024 is a composite number with 12 divisors. Its prime factorisation is × 907. Divisors (12): 1, 2, 4, 8, 16, 32, 907, 1814, 3628, 7256, 14512, 29024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29024 is composite. Its prime factorisation is
- 3
The divisors add up to 57204; without 29024 itself that is 28180, so 29024 is deficient (28180 is less than 29024). Euler's totient φ(29024) = 14496 numbers up to 29024 share no factor with it.
- 4
The digits of 29024 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29024 = 2^{5} \times 907 \]29024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57204 |
| Euler totient φ(n) | 14496 |
| Square | 842392576 |
| Cube | 24449602125824 |
| Square root | 170.364316 (= 4√1814) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9024 × |
29024 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and twenty-four |
| Binary (base 2) | 111000101100000 |
| Octal (base 8) | 70540 |
| Hexadecimal (base 16) | 7160 |
| Base 3 | 1110210222 |
| As time | 29024 seconds = 8 h 3 min 44 s |
Is 29024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29024 ÷ 2 = 14512) | 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 (29024 ÷ 4 = 7256) | 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 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 | Yes (29024 ÷ 8 = 3628) | 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 6) | 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 29024 a prime number?
No. 29024 = × 907, so it is divisible by 2.
What are the factors of 29024?
1, 2, 4, 8, 16, 32, 907, 1814, 3628, 7256, 14512, 29024.
What is 29024 in binary?
111000101100000 (hexadecimal 7160, octal 70540).
What is the square root of 29024?
About 170.3643, exactly 4√1814.
Is 29024 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 29024?
It is a composite number with 12 divisors.