The number 9664
9664 is a composite number with 14 divisors. Its prime factorisation is × 151. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9664 is composite. Its prime factorisation is
- 3
The divisors add up to 19304; without 9664 itself that is 9640, so 9664 is deficient (9640 is less than 9664). Euler's totient φ(9664) = 4800 numbers up to 9664 share no factor with it.
- 4
The digits of 9664 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9664 = 2^{6} \times 151 \]9664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 19304 |
| Euler totient φ(n) | 4800 |
| Square | 93392896 |
| Cube | 902548946944 |
| Square root | 98.305646 (= 8√151) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.664 × |
9664 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and sixty-four |
| Binary (base 2) | 10010111000000 |
| Octal (base 8) | 22700 |
| Hexadecimal (base 16) | 25C0 |
| Base 3 | 111020221 |
| As time | 9664 seconds = 2 h 41 min 4 s |
Is 9664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9664 ÷ 2 = 4832) | 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 (9664 ÷ 4 = 2416) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 (9664 ÷ 8 = 1208) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 9664 a prime number?
No. 9664 = × 151, so it is divisible by 2.
What are the factors of 9664?
1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664.
What is 9664 in binary?
10010111000000 (hexadecimal 25C0, octal 22700).
What is the square root of 9664?
About 98.3056, exactly 8√151.
Is 9664 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9664?
It is a composite number with 14 divisors.