The number 9918
9918 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 29. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261 … 9918.
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How to work it out
- 1
9918 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9918 is composite. Its prime factorisation is
- 3
The divisors add up to 23400; without 9918 itself that is 13482, so 9918 is abundant (13482 is more than 9918). Euler's totient φ(9918) = 3024 numbers up to 9918 share no factor with it.
- 4
The digits of 9918 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9918 = 2 \times 3^{2} \times 19 \times 29 \]9918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 23400 |
| Euler totient φ(n) | 3024 |
| Square | 98366724 |
| Cube | 975601168632 |
| Square root | 99.589156 (= 3√1102) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.918 × |
9918 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and eighteen |
| Binary (base 2) | 10011010111110 |
| Octal (base 8) | 23276 |
| Hexadecimal (base 16) | 26BE |
| Base 3 | 111121100 |
| As time | 9918 seconds = 2 h 45 min 18 s |
Is 9918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9918 ÷ 2 = 4959) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9918 ÷ 3 = 3306) | 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 (9918 ÷ 6 = 1653) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (9918 ÷ 9 = 1102) | 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 7) | 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 9918 a prime number?
No. 9918 = 2 × × 19 × 29, so it is divisible by 2.
What are the factors of 9918?
1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918.
What is 9918 in binary?
10011010111110 (hexadecimal 26BE, octal 23276).
What is the square root of 9918?
About 99.5892, exactly 3√1102.
Is 9918 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9918?
It is a composite number with 24 divisors.