The number 918
918 is a composite number with 16 divisors. Its prime factorisation is 2 × × 17. Divisors (16): 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 918: a Harshad number: divisible by its digit sum 18.
- 2
918 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 918 itself that is 1242, so 918 is abundant (1242 is more than 918). Euler's totient φ(918) = 288 numbers up to 918 share no factor with it.
- 4
The digits of 918 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 918 = 2 \times 3^{3} \times 17 \]918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 288 |
| Square | 842724 |
| Cube | 773620632 |
| Square root | 30.298515 (= 3√102) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.18 × |
918 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighteen |
| Roman numerals | CMXVIII |
| Binary (base 2) | 1110010110 |
| Octal (base 8) | 1626 |
| Hexadecimal (base 16) | 396 |
| Base 3 | 1021000 |
| As time | 918 seconds = 15 min 18 s |
Is 918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (918 ÷ 2 = 459) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (918 ÷ 3 = 306) | 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 | Yes (918 ÷ 6 = 153) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (918 ÷ 9 = 102) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 918 a prime number?
No. 918 = 2 × × 17, so it is divisible by 2.
What are the factors of 918?
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918.
What is 918 in binary?
1110010110 (hexadecimal 396, octal 1626).
What is the square root of 918?
About 30.2985, exactly 3√102.
What is 918 in Roman numerals?
CMXVIII.
Is 918 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 918?
918 is a Harshad number: divisible by its digit sum 18.