The number 43508
43508 is a composite number with 12 divisors. Its prime factorisation is × 73 × 149. Divisors (12): 1, 2, 4, 73, 146, 149, 292, 298, 596, 10877, 21754, 43508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43508 is composite. Its prime factorisation is
- 3
The divisors add up to 77700; without 43508 itself that is 34192, so 43508 is deficient (34192 is less than 43508). Euler's totient φ(43508) = 21312 numbers up to 43508 share no factor with it.
- 4
The digits of 43508 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43508 = 2^{2} \times 73 \times 149 \]43508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77700 |
| Euler totient φ(n) | 21312 |
| Square | 1892946064 |
| Cube | 82358297352512 |
| Square root | 208.585714 (= 2√10877) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3508 × |
43508 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and eight |
| Binary (base 2) | 1010100111110100 |
| Octal (base 8) | 124764 |
| Hexadecimal (base 16) | A9F4 |
| Base 3 | 2012200102 |
| As time | 43508 seconds = 12 h 5 min 8 s |
Is 43508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43508 ÷ 2 = 21754) | 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 (43508 ÷ 4 = 10877) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 43508 a prime number?
No. 43508 = × 73 × 149, so it is divisible by 2.
What are the factors of 43508?
1, 2, 4, 73, 146, 149, 292, 298, 596, 10877, 21754, 43508.
What is 43508 in binary?
1010100111110100 (hexadecimal A9F4, octal 124764).
What is the square root of 43508?
About 208.5857, exactly 2√10877.
Is 43508 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43508?
It is a composite number with 12 divisors.