The number 29888
29888 is a composite number with 14 divisors. Its prime factorisation is × 467. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 467, 934, 1868, 3736, 7472, 14944, 29888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29888 is composite. Its prime factorisation is
- 3
The divisors add up to 59436; without 29888 itself that is 29548, so 29888 is deficient (29548 is less than 29888). Euler's totient φ(29888) = 14912 numbers up to 29888 share no factor with it.
- 4
The digits of 29888 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29888 = 2^{6} \times 467 \]29888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 59436 |
| Euler totient φ(n) | 14912 |
| Square | 893292544 |
| Cube | 26698727555072 |
| Square root | 172.881462 (= 8√467) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9888 × |
29888 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eighty-eight |
| Binary (base 2) | 111010011000000 |
| Octal (base 8) | 72300 |
| Hexadecimal (base 16) | 74C0 |
| Base 3 | 1111222222 |
| As time | 29888 seconds = 8 h 18 min 8 s |
Is 29888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29888 ÷ 2 = 14944) | 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 (29888 ÷ 4 = 7472) | 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 5) | 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 (29888 ÷ 8 = 3736) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29888 a prime number?
No. 29888 = × 467, so it is divisible by 2.
What are the factors of 29888?
1, 2, 4, 8, 16, 32, 64, 467, 934, 1868, 3736, 7472, 14944, 29888.
What is 29888 in binary?
111010011000000 (hexadecimal 74C0, octal 72300).
What is the square root of 29888?
About 172.8815, exactly 8√467.
Is 29888 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 29888?
It is a composite number with 14 divisors.