The number 43136
43136 is a composite number with 16 divisors. Its prime factorisation is × 337. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 337, 674, 1348, 2696, 5392, 10784, 21568, 43136.
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How to work it out
- 1
43136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43136 is composite. Its prime factorisation is
- 3
The divisors add up to 86190; without 43136 itself that is 43054, so 43136 is deficient (43054 is less than 43136). Euler's totient φ(43136) = 21504 numbers up to 43136 share no factor with it.
- 4
The digits of 43136 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43136 = 2^{7} \times 337 \]43136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86190 |
| Euler totient φ(n) | 21504 |
| Square | 1860714496 |
| Cube | 80263780499456 |
| Square root | 207.692080 (= 8√674) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3136 × |
43136 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and thirty-six |
| Binary (base 2) | 1010100010000000 |
| Octal (base 8) | 124200 |
| Hexadecimal (base 16) | A880 |
| Base 3 | 2012011122 |
| As time | 43136 seconds = 11 h 58 min 56 s |
Is 43136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43136 ÷ 2 = 21568) | 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 (43136 ÷ 4 = 10784) | 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 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 (43136 ÷ 8 = 5392) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 43136 a prime number?
No. 43136 = × 337, so it is divisible by 2.
What are the factors of 43136?
1, 2, 4, 8, 16, 32, 64, 128, 337, 674, 1348, 2696, 5392, 10784, 21568, 43136.
What is 43136 in binary?
1010100010000000 (hexadecimal A880, octal 124200).
What is the square root of 43136?
About 207.6921, exactly 8√674.
Is 43136 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43136?
It is a composite number with 16 divisors.