The number 29889
29889 is a composite number with 14 divisors. Its prime factorisation is × 41. Divisors (14): 1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 3321, 9963, 29889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29889 is composite. Its prime factorisation is
- 3
The divisors add up to 45906; without 29889 itself that is 16017, so 29889 is deficient (16017 is less than 29889). Euler's totient φ(29889) = 19440 numbers up to 29889 share no factor with it.
- 4
The digits of 29889 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29889 = 3^{6} \times 41 \]29889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 45906 |
| Euler totient φ(n) | 19440 |
| Square | 893352321 |
| Cube | 26701407522369 |
| Square root | 172.884354 (= 27√41) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9889 × |
29889 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eighty-nine |
| Binary (base 2) | 111010011000001 |
| Octal (base 8) | 72301 |
| Hexadecimal (base 16) | 74C1 |
| Base 3 | 1112000000 |
| As time | 29889 seconds = 8 h 18 min 9 s |
Is 29889 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 (29889 ÷ 3 = 9963) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29889 ÷ 9 = 3321) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29889 a prime number?
No. 29889 = × 41, so it is divisible by 3.
What are the factors of 29889?
1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 3321, 9963, 29889.
What is 29889 in binary?
111010011000001 (hexadecimal 74C1, octal 72301).
What is the square root of 29889?
About 172.8844, exactly 27√41.
Is 29889 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 29889?
It is a composite number with 14 divisors.