The number 9889
9889 is a palindrome: it reads 9889 backwards too. Its prime factorisation is 11 × 29 × 31. Divisors (8): 1, 11, 29, 31, 319, 341, 899, 9889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9889: a palindrome: it reads 9889 backwards too.
- 2
9889 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 9889 itself that is 1631, so 9889 is deficient (1631 is less than 9889). Euler's totient φ(9889) = 8400 numbers up to 9889 share no factor with it.
- 4
The digits of 9889 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9889 = 11 \times 29 \times 31 \]
9889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 8400 |
| Square | 97792321 |
| Cube | 967068262369 |
| Square root | 99.443451 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.889 × |
9889 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-nine |
| Binary (base 2) | 10011010100001 |
| Octal (base 8) | 23241 |
| Hexadecimal (base 16) | 26A1 |
| Base 3 | 111120021 |
| As time | 9889 seconds = 2 h 44 min 49 s |
Is 9889 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 | No (remainder 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (9889 ÷ 11 = 899) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9889 a prime number?
No. 9889 = 11 × 29 × 31, so it is divisible by 11.
What are the factors of 9889?
1, 11, 29, 31, 319, 341, 899, 9889.
What is 9889 in binary?
10011010100001 (hexadecimal 26A1, octal 23241).
What is the square root of 9889?
About 99.4435.
Is 9889 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 9889?
9889 is a palindrome: it reads 9889 backwards too.