The number 29328
29328 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 47, 48, 52, 78 … 29328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29328: a Harshad number: divisible by its digit sum 24.
- 2
29328 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 29328 itself that is 54000, so 29328 is abundant (54000 is more than 29328). Euler's totient φ(29328) = 8832 numbers up to 29328 share no factor with it.
- 4
The digits of 29328 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29328 = 2^{4} \times 3 \times 13 \times 47 \]29328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 8832 |
| Square | 860131584 |
| Cube | 25225939095552 |
| Square root | 171.254197 (= 4√1833) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9328 × |
29328 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and twenty-eight |
| Binary (base 2) | 111001010010000 |
| Octal (base 8) | 71220 |
| Hexadecimal (base 16) | 7290 |
| Base 3 | 1111020020 |
| As time | 29328 seconds = 8 h 8 min 48 s |
Is 29328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29328 ÷ 2 = 14664) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29328 ÷ 3 = 9776) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29328 ÷ 4 = 7332) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29328 ÷ 6 = 4888) | 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 (29328 ÷ 8 = 3666) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29328 ÷ 12 = 2444) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29328 a prime number?
No. 29328 = × 3 × 13 × 47, so it is divisible by 2.
What are the factors of 29328?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 47, 48, 52, 78, 94, 104, 141, 156, 188, 208, 282, 312, 376, 564, 611, 624, 752, 1128, 1222, 1833, 2256, 2444, 3666, 4888, 7332, 9776, 14664, 29328.
What is 29328 in binary?
111001010010000 (hexadecimal 7290, octal 71220).
What is the square root of 29328?
About 171.2542, exactly 4√1833.
Is 29328 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29328?
29328 is a Harshad number: divisible by its digit sum 24.