The number 8993
8993 is a composite number with 6 divisors. Its prime factorisation is 17 Ć . Divisors (6): 1, 17, 23, 391, 529, 8993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8993 is composite. Its prime factorisation is
- 3
The divisors add up to 9954; without 8993 itself that is 961, so 8993 is deficient (961 is less than 8993). Euler's totient Ļ(8993) = 8096 numbers up to 8993 share no factor with it.
- 4
The digits of 8993 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8993 = 17 \times 23^{2} \]8993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9954 |
| Euler totient Ļ(n) | 8096 |
| Square | 80874049 |
| Cube | 727300322657 |
| Square root | 94.831429 (= 23ā17) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.993 Ć |
8993 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and ninety-three |
| Binary (base 2) | 10001100100001 |
| Octal (base 8) | 21441 |
| Hexadecimal (base 16) | 2321 |
| Base 3 | 110100002 |
| As time | 8993 seconds = 2 h 29 min 53 s |
Is 8993 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8993 a prime number?
No. 8993 = 17 Ć , so it is divisible by 17.
What are the factors of 8993?
1, 17, 23, 391, 529, 8993.
What is 8993 in binary?
10001100100001 (hexadecimal 2321, octal 21441).
What is the square root of 8993?
About 94.8314, exactly 23ā17.
Is 8993 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 8993?
It is a composite number with 6 divisors.