The number 9916
9916 is a composite number with 12 divisors. Its prime factorisation is × 37 × 67. Divisors (12): 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9916 is composite. Its prime factorisation is
- 3
The divisors add up to 18088; without 9916 itself that is 8172, so 9916 is deficient (8172 is less than 9916). Euler's totient φ(9916) = 4752 numbers up to 9916 share no factor with it.
- 4
The digits of 9916 add up to 25, 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
\[ 9916 = 2^{2} \times 37 \times 67 \]9916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18088 |
| Euler totient φ(n) | 4752 |
| Square | 98327056 |
| Cube | 975011087296 |
| Square root | 99.579114 (= 2√2479) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.916 × |
9916 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and sixteen |
| Binary (base 2) | 10011010111100 |
| Octal (base 8) | 23274 |
| Hexadecimal (base 16) | 26BC |
| Base 3 | 111121021 |
| As time | 9916 seconds = 2 h 45 min 16 s |
Is 9916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9916 ÷ 2 = 4958) | 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 | Yes (9916 ÷ 4 = 2479) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 4) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9916 a prime number?
No. 9916 = × 37 × 67, so it is divisible by 2.
What are the factors of 9916?
1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916.
What is 9916 in binary?
10011010111100 (hexadecimal 26BC, octal 23274).
What is the square root of 9916?
About 99.5791, exactly 2√2479.
Is 9916 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9916?
It is a composite number with 12 divisors.