The number 10664
10664 is a composite number with 16 divisors. Its prime factorisation is × 31 × 43. Divisors (16): 1, 2, 4, 8, 31, 43, 62, 86, 124, 172, 248, 344, 1333, 2666, 5332, 10664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10664 is composite. Its prime factorisation is
- 3
The divisors add up to 21120; without 10664 itself that is 10456, so 10664 is deficient (10456 is less than 10664). Euler's totient φ(10664) = 5040 numbers up to 10664 share no factor with it.
- 4
The digits of 10664 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10664 = 2^{3} \times 31 \times 43 \]10664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21120 |
| Euler totient φ(n) | 5040 |
| Square | 113720896 |
| Cube | 1212719634944 |
| Square root | 103.266645 (= 2√2666) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0664 × |
10664 in other forms
| Form | Value |
|---|---|
| In words | ten thousand six hundred and sixty-four |
| Binary (base 2) | 10100110101000 |
| Octal (base 8) | 24650 |
| Hexadecimal (base 16) | 29A8 |
| Base 3 | 112121222 |
| As time | 10664 seconds = 2 h 57 min 44 s |
Is 10664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10664 ÷ 2 = 5332) | 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 (10664 ÷ 4 = 2666) | 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 2) | 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 | Yes (10664 ÷ 8 = 1333) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 10664 a prime number?
No. 10664 = × 31 × 43, so it is divisible by 2.
What are the factors of 10664?
1, 2, 4, 8, 31, 43, 62, 86, 124, 172, 248, 344, 1333, 2666, 5332, 10664.
What is 10664 in binary?
10100110101000 (hexadecimal 29A8, octal 24650).
What is the square root of 10664?
About 103.2666, exactly 2√2666.
Is 10664 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10664?
It is a composite number with 16 divisors.