The number 43648
43648 is a composite number with 32 divisors. Its prime factorisation is × 11 × 31. Divisors (32): 1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176 … 43648.
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How to work it out
- 1
43648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43648 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 43648 itself that is 54272, so 43648 is abundant (54272 is more than 43648). Euler's totient φ(43648) = 19200 numbers up to 43648 share no factor with it.
- 4
The digits of 43648 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43648 = 2^{7} \times 11 \times 31 \]43648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 19200 |
| Square | 1905147904 |
| Cube | 83155895713792 |
| Square root | 208.921038 (= 8√682) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 18 |
| Scientific notation | 4.3648 × |
43648 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and forty-eight |
| Binary (base 2) | 1010101010000000 |
| Octal (base 8) | 125200 |
| Hexadecimal (base 16) | AA80 |
| Base 3 | 2012212121 |
| As time | 43648 seconds = 12 h 7 min 28 s |
Is 43648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43648 ÷ 2 = 21824) | 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 (43648 ÷ 4 = 10912) | 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 | Yes (43648 ÷ 8 = 5456) | 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 | Yes (43648 ÷ 11 = 3968) | 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 43648 a prime number?
No. 43648 = × 11 × 31, so it is divisible by 2.
What are the factors of 43648?
1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 3968, 5456, 10912, 21824, 43648.
What is 43648 in binary?
1010101010000000 (hexadecimal AA80, octal 125200).
What is the square root of 43648?
About 208.9210, exactly 8√682.
Is 43648 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 43648?
It is a composite number with 32 divisors.