The number 9416
9416 is a composite number with 16 divisors. Its prime factorisation is × 11 × 107. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9416 is composite. Its prime factorisation is
- 3
The divisors add up to 19440; without 9416 itself that is 10024, so 9416 is abundant (10024 is more than 9416). Euler's totient φ(9416) = 4240 numbers up to 9416 share no factor with it.
- 4
The digits of 9416 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9416 = 2^{3} \times 11 \times 107 \]9416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19440 |
| Euler totient φ(n) | 4240 |
| Square | 88661056 |
| Cube | 834832503296 |
| Square root | 97.036076 (= 2√2354) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.416 × |
9416 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and sixteen |
| Binary (base 2) | 10010011001000 |
| Octal (base 8) | 22310 |
| Hexadecimal (base 16) | 24C8 |
| Base 3 | 110220202 |
| As time | 9416 seconds = 2 h 36 min 56 s |
Is 9416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9416 ÷ 2 = 4708) | 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 (9416 ÷ 4 = 2354) | 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 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 | Yes (9416 ÷ 8 = 1177) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (9416 ÷ 11 = 856) | 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 9416 a prime number?
No. 9416 = × 11 × 107, so it is divisible by 2.
What are the factors of 9416?
1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416.
What is 9416 in binary?
10010011001000 (hexadecimal 24C8, octal 22310).
What is the square root of 9416?
About 97.0361, exactly 2√2354.
Is 9416 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9416?
It is a composite number with 16 divisors.