The number 8998
8998 is a palindrome: it reads 8998 backwards too. Its prime factorisation is 2 × 11 × 409. Divisors (8): 1, 2, 11, 22, 409, 818, 4499, 8998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8998: a palindrome: it reads 8998 backwards too.
- 2
8998 is composite. Its prime factorisation is
- 3
The divisors add up to 14760; without 8998 itself that is 5762, so 8998 is deficient (5762 is less than 8998). Euler's totient φ(8998) = 4080 numbers up to 8998 share no factor with it.
- 4
The digits of 8998 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8998 = 2 \times 11 \times 409 \]
8998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14760 |
| Euler totient φ(n) | 4080 |
| Square | 80964004 |
| Cube | 728514107992 |
| Square root | 94.857788 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.998 × |
8998 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and ninety-eight |
| Binary (base 2) | 10001100100110 |
| Octal (base 8) | 21446 |
| Hexadecimal (base 16) | 2326 |
| Base 3 | 110100021 |
| As time | 8998 seconds = 2 h 29 min 58 s |
Is 8998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8998 ÷ 2 = 4499) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8998 ÷ 11 = 818) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8998 a prime number?
No. 8998 = 2 × 11 × 409, so it is divisible by 2.
What are the factors of 8998?
1, 2, 11, 22, 409, 818, 4499, 8998.
What is 8998 in binary?
10001100100110 (hexadecimal 2326, octal 21446).
What is the square root of 8998?
About 94.8578.
Is 8998 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 8998?
8998 is a palindrome: it reads 8998 backwards too.