The number 29007
29007 is a composite number with 12 divisors. Its prime factorisation is × 11 × 293. Divisors (12): 1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29007 is composite. Its prime factorisation is
- 3
The divisors add up to 45864; without 29007 itself that is 16857, so 29007 is deficient (16857 is less than 29007). Euler's totient φ(29007) = 17520 numbers up to 29007 share no factor with it.
- 4
The digits of 29007 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
\[ 29007 = 3^{2} \times 11 \times 293 \]29007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45864 |
| Euler totient φ(n) | 17520 |
| Square | 841406049 |
| Cube | 24406665263343 |
| Square root | 170.314415 (= 3√3223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9007 × |
29007 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and seven |
| Binary (base 2) | 111000101001111 |
| Octal (base 8) | 70517 |
| Hexadecimal (base 16) | 714F |
| Base 3 | 1110210100 |
| As time | 29007 seconds = 8 h 3 min 27 s |
Is 29007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29007 ÷ 3 = 9669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29007 ÷ 9 = 3223) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29007 ÷ 11 = 2637) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29007 a prime number?
No. 29007 = × 11 × 293, so it is divisible by 3.
What are the factors of 29007?
1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007.
What is 29007 in binary?
111000101001111 (hexadecimal 714F, octal 70517).
What is the square root of 29007?
About 170.3144, exactly 3√3223.
Is 29007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29007?
It is a composite number with 12 divisors.