The number 9616
9616 is a composite number with 10 divisors. Its prime factorisation is × 601. Divisors (10): 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9616 is composite. Its prime factorisation is
- 3
The divisors add up to 18662; without 9616 itself that is 9046, so 9616 is deficient (9046 is less than 9616). Euler's totient φ(9616) = 4800 numbers up to 9616 share no factor with it.
- 4
The digits of 9616 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9616 = 2^{4} \times 601 \]9616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 18662 |
| Euler totient φ(n) | 4800 |
| Square | 92467456 |
| Cube | 889167056896 |
| Square root | 98.061205 (= 4√601) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.616 × |
9616 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and sixteen |
| Binary (base 2) | 10010110010000 |
| Octal (base 8) | 22620 |
| Hexadecimal (base 16) | 2590 |
| Base 3 | 111012011 |
| As time | 9616 seconds = 2 h 40 min 16 s |
Is 9616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9616 ÷ 2 = 4808) | 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 (9616 ÷ 4 = 2404) | 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 5) | 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 (9616 ÷ 8 = 1202) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 9616 a prime number?
No. 9616 = × 601, so it is divisible by 2.
What are the factors of 9616?
1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616.
What is 9616 in binary?
10010110010000 (hexadecimal 2590, octal 22620).
What is the square root of 9616?
About 98.0612, exactly 4√601.
Is 9616 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9616?
It is a composite number with 10 divisors.