The number 29472
29472 is a composite number with 24 divisors. Its prime factorisation is × 3 × 307. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228 … 29472.
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How to work it out
- 1
What is special about 29472: a Harshad number: divisible by its digit sum 24.
- 2
29472 is composite. Its prime factorisation is
- 3
The divisors add up to 77616; without 29472 itself that is 48144, so 29472 is abundant (48144 is more than 29472). Euler's totient φ(29472) = 9792 numbers up to 29472 share no factor with it.
- 4
The digits of 29472 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29472 = 2^{5} \times 3 \times 307 \]29472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77616 |
| Euler totient φ(n) | 9792 |
| Square | 868598784 |
| Cube | 25599343362048 |
| Square root | 171.674110 (= 4√1842) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9472 × |
29472 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and seventy-two |
| Binary (base 2) | 111001100100000 |
| Octal (base 8) | 71440 |
| Hexadecimal (base 16) | 7320 |
| Base 3 | 1111102120 |
| As time | 29472 seconds = 8 h 11 min 12 s |
Is 29472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29472 ÷ 2 = 14736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29472 ÷ 3 = 9824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29472 ÷ 4 = 7368) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29472 ÷ 6 = 4912) | 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 (29472 ÷ 8 = 3684) | 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 2) | 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 | Yes (29472 ÷ 12 = 2456) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29472 a prime number?
No. 29472 = × 3 × 307, so it is divisible by 2.
What are the factors of 29472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736, 29472.
What is 29472 in binary?
111001100100000 (hexadecimal 7320, octal 71440).
What is the square root of 29472?
About 171.6741, exactly 4√1842.
Is 29472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29472?
29472 is a Harshad number: divisible by its digit sum 24.