The number 29412
29412 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 43. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 43, 57, 76, 86, 114 … 29412.
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How to work it out
- 1
What is special about 29412: a Harshad number: divisible by its digit sum 18.
- 2
29412 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 29412 itself that is 50668, so 29412 is abundant (50668 is more than 29412). Euler's totient φ(29412) = 9072 numbers up to 29412 share no factor with it.
- 4
The digits of 29412 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29412 = 2^{2} \times 3^{2} \times 19 \times 43 \]29412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 9072 |
| Square | 865065744 |
| Cube | 25443313662528 |
| Square root | 171.499271 (= 6√817) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9412 × |
29412 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and twelve |
| Binary (base 2) | 111001011100100 |
| Octal (base 8) | 71344 |
| Hexadecimal (base 16) | 72E4 |
| Base 3 | 1111100100 |
| As time | 29412 seconds = 8 h 10 min 12 s |
Is 29412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29412 ÷ 2 = 14706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29412 ÷ 3 = 9804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29412 ÷ 4 = 7353) | 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 (29412 ÷ 6 = 4902) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29412 ÷ 9 = 3268) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29412 ÷ 12 = 2451) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29412 a prime number?
No. 29412 = × × 19 × 43, so it is divisible by 2.
What are the factors of 29412?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 43, 57, 76, 86, 114, 129, 171, 172, 228, 258, 342, 387, 516, 684, 774, 817, 1548, 1634, 2451, 3268, 4902, 7353, 9804, 14706, 29412.
What is 29412 in binary?
111001011100100 (hexadecimal 72E4, octal 71344).
What is the square root of 29412?
About 171.4993, exactly 6√817.
Is 29412 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29412?
29412 is a Harshad number: divisible by its digit sum 18.