The number 9628
9628 is a composite number with 12 divisors. Its prime factorisation is × 29 × 83. Divisors (12): 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9628 is composite. Its prime factorisation is
- 3
The divisors add up to 17640; without 9628 itself that is 8012, so 9628 is deficient (8012 is less than 9628). Euler's totient φ(9628) = 4592 numbers up to 9628 share no factor with it.
- 4
The digits of 9628 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9628 = 2^{2} \times 29 \times 83 \]9628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17640 |
| Euler totient φ(n) | 4592 |
| Square | 92698384 |
| Cube | 892500041152 |
| Square root | 98.122373 (= 2√2407) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.628 × |
9628 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and twenty-eight |
| Binary (base 2) | 10010110011100 |
| Octal (base 8) | 22634 |
| Hexadecimal (base 16) | 259C |
| Base 3 | 111012121 |
| As time | 9628 seconds = 2 h 40 min 28 s |
Is 9628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9628 ÷ 2 = 4814) | 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 (9628 ÷ 4 = 2407) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 9628 a prime number?
No. 9628 = × 29 × 83, so it is divisible by 2.
What are the factors of 9628?
1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628.
What is 9628 in binary?
10010110011100 (hexadecimal 259C, octal 22634).
What is the square root of 9628?
About 98.1224, exactly 2√2407.
Is 9628 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9628?
It is a composite number with 12 divisors.