The number 38889
38889 is a binary palindrome (1001011111101001). Its prime factorisation is × 29 × 149. Divisors (12): 1, 3, 9, 29, 87, 149, 261, 447, 1341, 4321, 12963, 38889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38889: a binary palindrome (1001011111101001).
- 2
38889 is composite. Its prime factorisation is
- 3
The divisors add up to 58500; without 38889 itself that is 19611, so 38889 is deficient (19611 is less than 38889). Euler's totient φ(38889) = 24864 numbers up to 38889 share no factor with it.
- 4
The digits of 38889 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 230 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38889 = 3^{2} \times 29 \times 149 \]38889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58500 |
| Euler totient φ(n) | 24864 |
| Square | 1512354321 |
| Cube | 58813947189369 |
| Square root | 197.202941 (= 3√4321) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 230 |
| Scientific notation | 3.8889 × |
38889 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and eighty-nine |
| Binary (base 2) | 1001011111101001 |
| Octal (base 8) | 113751 |
| Hexadecimal (base 16) | 97E9 |
| Base 3 | 1222100100 |
| As time | 38889 seconds = 10 h 48 min 9 s |
Is 38889 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 (38889 ÷ 3 = 12963) | 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 4) | 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 (38889 ÷ 9 = 4321) | 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 4) | 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 38889 a prime number?
No. 38889 = × 29 × 149, so it is divisible by 3.
What are the factors of 38889?
1, 3, 9, 29, 87, 149, 261, 447, 1341, 4321, 12963, 38889.
What is 38889 in binary?
1001011111101001 (hexadecimal 97E9, octal 113751).
What is the square root of 38889?
About 197.2029, exactly 3√4321.
Is 38889 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 38889?
38889 is a binary palindrome (1001011111101001).