The number 29484
29484 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 13. Divisors (60): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36 … 29484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29484: a Harshad number: divisible by its digit sum 27.
- 2
29484 is composite. Its prime factorisation is
- 3
The divisors add up to 94864; without 29484 itself that is 65380, so 29484 is abundant (65380 is more than 29484). Euler's totient φ(29484) = 7776 numbers up to 29484 share no factor with it.
- 4
The digits of 29484 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29484 = 2^{2} \times 3^{4} \times 7 \times 13 \]29484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 94864 |
| Euler totient φ(n) | 7776 |
| Square | 869306256 |
| Cube | 25630625651904 |
| Square root | 171.709056 (= 18√91) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9484 × |
29484 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and eighty-four |
| Binary (base 2) | 111001100101100 |
| Octal (base 8) | 71454 |
| Hexadecimal (base 16) | 732C |
| Base 3 | 1111110000 |
| As time | 29484 seconds = 8 h 11 min 24 s |
Is 29484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29484 ÷ 2 = 14742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29484 ÷ 3 = 9828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29484 ÷ 4 = 7371) | 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 (29484 ÷ 6 = 4914) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29484 ÷ 7 = 4212) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29484 ÷ 9 = 3276) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29484 ÷ 12 = 2457) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29484 a prime number?
No. 29484 = × × 7 × 13, so it is divisible by 2.
What are the factors of 29484?
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 81, 84, 91, 108, 117, 126, 156, 162, 182, 189, 234, 252, 273, 324, 351, 364, 378, 468, 546, 567, 702, 756, 819, 1053, 1092, 1134, 1404, 1638, 2106, 2268, 2457, 3276, 4212, 4914, 7371, 9828, 14742, 29484.
What is 29484 in binary?
111001100101100 (hexadecimal 732C, octal 71454).
What is the square root of 29484?
About 171.7091, exactly 18√91.
Is 29484 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29484?
29484 is a Harshad number: divisible by its digit sum 27.