The number 43664
43664 is a composite number with 10 divisors. Its prime factorisation is × 2729. Divisors (10): 1, 2, 4, 8, 16, 2729, 5458, 10916, 21832, 43664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43664 is composite. Its prime factorisation is
- 3
The divisors add up to 84630; without 43664 itself that is 40966, so 43664 is deficient (40966 is less than 43664). Euler's totient φ(43664) = 21824 numbers up to 43664 share no factor with it.
- 4
The digits of 43664 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43664 = 2^{4} \times 2729 \]43664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 84630 |
| Euler totient φ(n) | 21824 |
| Square | 1906544896 |
| Cube | 83247376338944 |
| Square root | 208.959326 (= 4√2729) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3664 × |
43664 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and sixty-four |
| Binary (base 2) | 1010101010010000 |
| Octal (base 8) | 125220 |
| Hexadecimal (base 16) | AA90 |
| Base 3 | 2012220012 |
| As time | 43664 seconds = 12 h 7 min 44 s |
Is 43664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43664 ÷ 2 = 21832) | 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 (43664 ÷ 4 = 10916) | 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 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 (43664 ÷ 8 = 5458) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 43664 a prime number?
No. 43664 = × 2729, so it is divisible by 2.
What are the factors of 43664?
1, 2, 4, 8, 16, 2729, 5458, 10916, 21832, 43664.
What is 43664 in binary?
1010101010010000 (hexadecimal AA90, octal 125220).
What is the square root of 43664?
About 208.9593, exactly 4√2729.
Is 43664 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 43664?
It is a composite number with 10 divisors.