The number 9116
9116 is a composite number with 12 divisors. Its prime factorisation is × 43 × 53. Divisors (12): 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9116 is composite. Its prime factorisation is
- 3
The divisors add up to 16632; without 9116 itself that is 7516, so 9116 is deficient (7516 is less than 9116). Euler's totient φ(9116) = 4368 numbers up to 9116 share no factor with it.
- 4
The digits of 9116 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9116 = 2^{2} \times 43 \times 53 \]9116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16632 |
| Euler totient φ(n) | 4368 |
| Square | 83101456 |
| Cube | 757552872896 |
| Square root | 95.477746 (= 2√2279) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.116 × |
9116 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and sixteen |
| Binary (base 2) | 10001110011100 |
| Octal (base 8) | 21634 |
| Hexadecimal (base 16) | 239C |
| Base 3 | 110111122 |
| As time | 9116 seconds = 2 h 31 min 56 s |
Is 9116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9116 ÷ 2 = 4558) | 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 | Yes (9116 ÷ 4 = 2279) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9116 a prime number?
No. 9116 = × 43 × 53, so it is divisible by 2.
What are the factors of 9116?
1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116.
What is 9116 in binary?
10001110011100 (hexadecimal 239C, octal 21634).
What is the square root of 9116?
About 95.4777, exactly 2√2279.
Is 9116 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9116?
It is a composite number with 12 divisors.