The number 29064
29064 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 173. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 29064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29064: a Harshad number: divisible by its digit sum 21.
- 2
29064 is composite. Its prime factorisation is
- 3
The divisors add up to 83520; without 29064 itself that is 54456, so 29064 is abundant (54456 is more than 29064). Euler's totient φ(29064) = 8256 numbers up to 29064 share no factor with it.
- 4
The digits of 29064 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29064 = 2^{3} \times 3 \times 7 \times 173 \]29064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 83520 |
| Euler totient φ(n) | 8256 |
| Square | 844716096 |
| Cube | 24550828614144 |
| Square root | 170.481671 (= 2√7266) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9064 × |
29064 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and sixty-four |
| Binary (base 2) | 111000110001000 |
| Octal (base 8) | 70610 |
| Hexadecimal (base 16) | 7188 |
| Base 3 | 1110212110 |
| As time | 29064 seconds = 8 h 4 min 24 s |
Is 29064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29064 ÷ 2 = 14532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29064 ÷ 3 = 9688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29064 ÷ 4 = 7266) | 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 (29064 ÷ 6 = 4844) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29064 ÷ 7 = 4152) | 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 (29064 ÷ 8 = 3633) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29064 ÷ 12 = 2422) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29064 a prime number?
No. 29064 = × 3 × 7 × 173, so it is divisible by 2.
What are the factors of 29064?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 173, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 3633, 4152, 4844, 7266, 9688, 14532, 29064.
What is 29064 in binary?
111000110001000 (hexadecimal 7188, octal 70610).
What is the square root of 29064?
About 170.4817, exactly 2√7266.
Is 29064 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29064?
29064 is a Harshad number: divisible by its digit sum 21.