The number 29016
29016 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 31. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52 … 29016.
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How to work it out
- 1
What is special about 29016: a Harshad number: divisible by its digit sum 18.
- 2
29016 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 29016 itself that is 58344, so 29016 is abundant (58344 is more than 29016). Euler's totient φ(29016) = 8640 numbers up to 29016 share no factor with it.
- 4
The digits of 29016 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29016 = 2^{3} \times 3^{2} \times 13 \times 31 \]29016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 8640 |
| Square | 841928256 |
| Cube | 24429390276096 |
| Square root | 170.340835 (= 6√806) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9016 × |
29016 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and sixteen |
| Binary (base 2) | 111000101011000 |
| Octal (base 8) | 70530 |
| Hexadecimal (base 16) | 7158 |
| Base 3 | 1110210200 |
| As time | 29016 seconds = 8 h 3 min 36 s |
Is 29016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29016 ÷ 2 = 14508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29016 ÷ 3 = 9672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29016 ÷ 4 = 7254) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29016 ÷ 6 = 4836) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (29016 ÷ 8 = 3627) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29016 ÷ 9 = 3224) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (29016 ÷ 12 = 2418) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29016 a prime number?
No. 29016 = × × 13 × 31, so it is divisible by 2.
What are the factors of 29016?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52, 62, 72, 78, 93, 104, 117, 124, 156, 186, 234, 248, 279, 312, 372, 403, 468, 558, 744, 806, 936, 1116, 1209, 1612, 2232, 2418, 3224, 3627, 4836, 7254, 9672, 14508, 29016.
What is 29016 in binary?
111000101011000 (hexadecimal 7158, octal 70530).
What is the square root of 29016?
About 170.3408, exactly 6√806.
Is 29016 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29016?
29016 is a Harshad number: divisible by its digit sum 18.