The number 9646
9646 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 53. Divisors (16): 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9646 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9646 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 9646 itself that is 8498, so 9646 is deficient (8498 is less than 9646). Euler's totient φ(9646) = 3744 numbers up to 9646 share no factor with it.
- 4
The digits of 9646 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9646 = 2 \times 7 \times 13 \times 53 \]
9646 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 3744 |
| Square | 93045316 |
| Cube | 897515118136 |
| Square root | 98.214052 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.646 × |
9646 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and forty-six |
| Binary (base 2) | 10010110101110 |
| Octal (base 8) | 22656 |
| Hexadecimal (base 16) | 25AE |
| Base 3 | 111020021 |
| As time | 9646 seconds = 2 h 40 min 46 s |
Is 9646 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9646 ÷ 2 = 4823) | 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 | No (remainder 2) | 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 | Yes (9646 ÷ 7 = 1378) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9646 a prime number?
No. 9646 = 2 × 7 × 13 × 53, so it is divisible by 2.
What are the factors of 9646?
1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646.
What is 9646 in binary?
10010110101110 (hexadecimal 25AE, octal 22656).
What is the square root of 9646?
About 98.2141.
Is 9646 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9646?
It is a composite number with 16 divisors.