The number 43808
43808 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184, 1369, 2738, 5476, 10952 … 43808.
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How to work it out
- 1
43808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43808 is composite. Its prime factorisation is
- 3
The divisors add up to 88641; without 43808 itself that is 44833, so 43808 is abundant (44833 is more than 43808). Euler's totient φ(43808) = 21312 numbers up to 43808 share no factor with it.
- 4
The digits of 43808 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43808 = 2^{5} \times 37^{2} \]43808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 88641 |
| Euler totient φ(n) | 21312 |
| Square | 1919140864 |
| Cube | 84073722970112 |
| Square root | 209.303607 (= 148√2) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3808 × |
43808 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and eight |
| Binary (base 2) | 1010101100100000 |
| Octal (base 8) | 125440 |
| Hexadecimal (base 16) | AB20 |
| Base 3 | 2020002112 |
| As time | 43808 seconds = 12 h 10 min 8 s |
Is 43808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43808 ÷ 2 = 21904) | 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 (43808 ÷ 4 = 10952) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (43808 ÷ 8 = 5476) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43808 a prime number?
No. 43808 = × , so it is divisible by 2.
What are the factors of 43808?
1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184, 1369, 2738, 5476, 10952, 21904, 43808.
What is 43808 in binary?
1010101100100000 (hexadecimal AB20, octal 125440).
What is the square root of 43808?
About 209.3036, exactly 148√2.
Is 43808 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 43808?
It is a composite number with 18 divisors.