The number 29408
29408 is a composite number with 12 divisors. Its prime factorisation is × 919. Divisors (12): 1, 2, 4, 8, 16, 32, 919, 1838, 3676, 7352, 14704, 29408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29408 is composite. Its prime factorisation is
- 3
The divisors add up to 57960; without 29408 itself that is 28552, so 29408 is deficient (28552 is less than 29408). Euler's totient φ(29408) = 14688 numbers up to 29408 share no factor with it.
- 4
The digits of 29408 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29408 = 2^{5} \times 919 \]29408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57960 |
| Euler totient φ(n) | 14688 |
| Square | 864830464 |
| Cube | 25432934285312 |
| Square root | 171.487609 (= 4√1838) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9408 × |
29408 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and eight |
| Binary (base 2) | 111001011100000 |
| Octal (base 8) | 71340 |
| Hexadecimal (base 16) | 72E0 |
| Base 3 | 1111100012 |
| As time | 29408 seconds = 8 h 10 min 8 s |
Is 29408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29408 ÷ 2 = 14704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29408 ÷ 4 = 7352) | 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 2) | 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 (29408 ÷ 8 = 3676) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29408 a prime number?
No. 29408 = × 919, so it is divisible by 2.
What are the factors of 29408?
1, 2, 4, 8, 16, 32, 919, 1838, 3676, 7352, 14704, 29408.
What is 29408 in binary?
111001011100000 (hexadecimal 72E0, octal 71340).
What is the square root of 29408?
About 171.4876, exactly 4√1838.
Is 29408 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29408?
It is a composite number with 12 divisors.