The number 29008
29008 is a composite number with 30 divisors. Its prime factorisation is × × 37. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196 … 29008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29008 is composite. Its prime factorisation is
- 3
The divisors add up to 67146; without 29008 itself that is 38138, so 29008 is abundant (38138 is more than 29008). Euler's totient φ(29008) = 12096 numbers up to 29008 share no factor with it.
- 4
The digits of 29008 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29008 = 2^{4} \times 7^{2} \times 37 \]29008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 67146 |
| Euler totient φ(n) | 12096 |
| Square | 841464064 |
| Cube | 24409189568512 |
| Square root | 170.317351 (= 28√37) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.9008 × |
29008 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and eight |
| Binary (base 2) | 111000101010000 |
| Octal (base 8) | 70520 |
| Hexadecimal (base 16) | 7150 |
| Base 3 | 1110210101 |
| As time | 29008 seconds = 8 h 3 min 28 s |
Is 29008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29008 ÷ 2 = 14504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29008 ÷ 4 = 7252) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29008 ÷ 7 = 4144) | 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 (29008 ÷ 8 = 3626) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29008 a prime number?
No. 29008 = × × 37, so it is divisible by 2.
What are the factors of 29008?
1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504, 29008.
What is 29008 in binary?
111000101010000 (hexadecimal 7150, octal 70520).
What is the square root of 29008?
About 170.3174, exactly 28√37.
Is 29008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 29008?
It is a composite number with 30 divisors.