The number 8918
8918 is a composite number with 16 divisors. Its prime factorisation is 2 × × 13. Divisors (16): 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8918: a Harshad number: divisible by its digit sum 26.
- 2
8918 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 8918 itself that is 7882, so 8918 is deficient (7882 is less than 8918). Euler's totient φ(8918) = 3528 numbers up to 8918 share no factor with it.
- 4
The digits of 8918 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8918 = 2 \times 7^{3} \times 13 \]8918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 3528 |
| Square | 79530724 |
| Cube | 709254996632 |
| Square root | 94.435163 (= 7√182) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.918 × |
8918 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighteen |
| Binary (base 2) | 10001011010110 |
| Octal (base 8) | 21326 |
| Hexadecimal (base 16) | 22D6 |
| Base 3 | 110020022 |
| As time | 8918 seconds = 2 h 28 min 38 s |
Is 8918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8918 ÷ 2 = 4459) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8918 ÷ 7 = 1274) | 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 8) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8918 a prime number?
No. 8918 = 2 × × 13, so it is divisible by 2.
What are the factors of 8918?
1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918.
What is 8918 in binary?
10001011010110 (hexadecimal 22D6, octal 21326).
What is the square root of 8918?
About 94.4352, exactly 7√182.
Is 8918 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8918?
8918 is a Harshad number: divisible by its digit sum 26.