The number 43731
43731 is a composite number with 12 divisors. Its prime factorisation is × 43 × 113. Divisors (12): 1, 3, 9, 43, 113, 129, 339, 387, 1017, 4859, 14577, 43731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43731 is composite. Its prime factorisation is
- 3
The divisors add up to 65208; without 43731 itself that is 21477, so 43731 is deficient (21477 is less than 43731). Euler's totient φ(43731) = 28224 numbers up to 43731 share no factor with it.
- 4
The digits of 43731 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43731 = 3^{2} \times 43 \times 113 \]43731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65208 |
| Euler totient φ(n) | 28224 |
| Square | 1912400361 |
| Cube | 83631180186891 |
| Square root | 209.119583 (= 3√4859) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3731 × |
43731 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and thirty-one |
| Binary (base 2) | 1010101011010011 |
| Octal (base 8) | 125323 |
| Hexadecimal (base 16) | AAD3 |
| Base 3 | 2012222200 |
| As time | 43731 seconds = 12 h 8 min 51 s |
Is 43731 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43731 ÷ 3 = 14577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43731 ÷ 9 = 4859) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43731 a prime number?
No. 43731 = × 43 × 113, so it is divisible by 3.
What are the factors of 43731?
1, 3, 9, 43, 113, 129, 339, 387, 1017, 4859, 14577, 43731.
What is 43731 in binary?
1010101011010011 (hexadecimal AAD3, octal 125323).
What is the square root of 43731?
About 209.1196, exactly 3√4859.
Is 43731 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43731?
It is a composite number with 12 divisors.