The number 29424
29424 is a composite number with 20 divisors. Its prime factorisation is × 3 × 613. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 613, 1226, 1839, 2452, 3678, 4904 … 29424.
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How to work it out
- 1
29424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29424 is composite. Its prime factorisation is
- 3
The divisors add up to 76136; without 29424 itself that is 46712, so 29424 is abundant (46712 is more than 29424). Euler's totient φ(29424) = 9792 numbers up to 29424 share no factor with it.
- 4
The digits of 29424 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29424 = 2^{4} \times 3 \times 613 \]29424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 76136 |
| Euler totient φ(n) | 9792 |
| Square | 865771776 |
| Cube | 25474468737024 |
| Square root | 171.534253 (= 4√1839) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9424 × |
29424 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and twenty-four |
| Binary (base 2) | 111001011110000 |
| Octal (base 8) | 71360 |
| Hexadecimal (base 16) | 72F0 |
| Base 3 | 1111100210 |
| As time | 29424 seconds = 8 h 10 min 24 s |
Is 29424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29424 ÷ 2 = 14712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29424 ÷ 3 = 9808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29424 ÷ 4 = 7356) | 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 | Yes (29424 ÷ 6 = 4904) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (29424 ÷ 8 = 3678) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29424 ÷ 12 = 2452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29424 a prime number?
No. 29424 = × 3 × 613, so it is divisible by 2.
What are the factors of 29424?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712, 29424.
What is 29424 in binary?
111001011110000 (hexadecimal 72F0, octal 71360).
What is the square root of 29424?
About 171.5343, exactly 4√1839.
Is 29424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29424?
It is a composite number with 20 divisors.