The number 43836
43836 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 281. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 281, 562, 843, 1124 … 43836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43836 is composite. Its prime factorisation is
- 3
The divisors add up to 110544; without 43836 itself that is 66708, so 43836 is abundant (66708 is more than 43836). Euler's totient φ(43836) = 13440 numbers up to 43836 share no factor with it.
- 4
The digits of 43836 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43836 = 2^{2} \times 3 \times 13 \times 281 \]43836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110544 |
| Euler totient φ(n) | 13440 |
| Square | 1921594896 |
| Cube | 84235033861056 |
| Square root | 209.370485 (= 2√10959) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3836 × |
43836 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and thirty-six |
| Binary (base 2) | 1010101100111100 |
| Octal (base 8) | 125474 |
| Hexadecimal (base 16) | AB3C |
| Base 3 | 2020010120 |
| As time | 43836 seconds = 12 h 10 min 36 s |
Is 43836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43836 ÷ 2 = 21918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43836 ÷ 3 = 14612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43836 ÷ 4 = 10959) | 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 | Yes (43836 ÷ 6 = 7306) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43836 ÷ 12 = 3653) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43836 a prime number?
No. 43836 = × 3 × 13 × 281, so it is divisible by 2.
What are the factors of 43836?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 281, 562, 843, 1124, 1686, 3372, 3653, 7306, 10959, 14612, 21918, 43836.
What is 43836 in binary?
1010101100111100 (hexadecimal AB3C, octal 125474).
What is the square root of 43836?
About 209.3705, exactly 2√10959.
Is 43836 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43836?
It is a composite number with 24 divisors.