The number 43112
43112 is a composite number with 16 divisors. Its prime factorisation is × 17 × 317. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 317, 634, 1268, 2536, 5389, 10778, 21556, 43112.
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How to work it out
- 1
What is special about 43112: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43112 is composite. Its prime factorisation is
- 3
The divisors add up to 85860; without 43112 itself that is 42748, so 43112 is deficient (42748 is less than 43112). Euler's totient φ(43112) = 20224 numbers up to 43112 share no factor with it.
- 4
The digits of 43112 add up to 11, 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
\[ 43112 = 2^{3} \times 17 \times 317 \]43112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85860 |
| Euler totient φ(n) | 20224 |
| Square | 1858644544 |
| Cube | 80129883580928 |
| Square root | 207.634294 (= 2√10778) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3112 × |
43112 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and twelve |
| Binary (base 2) | 1010100001101000 |
| Octal (base 8) | 124150 |
| Hexadecimal (base 16) | A868 |
| Base 3 | 2012010202 |
| As time | 43112 seconds = 11 h 58 min 32 s |
Is 43112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43112 ÷ 2 = 21556) | 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 (43112 ÷ 4 = 10778) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 (43112 ÷ 8 = 5389) | 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 2) | 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 43112 a prime number?
No. 43112 = × 17 × 317, so it is divisible by 2.
What are the factors of 43112?
1, 2, 4, 8, 17, 34, 68, 136, 317, 634, 1268, 2536, 5389, 10778, 21556, 43112.
What is 43112 in binary?
1010100001101000 (hexadecimal A868, octal 124150).
What is the square root of 43112?
About 207.6343, exactly 2√10778.
Is 43112 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43112?
43112 is a happy number: repeatedly adding the squares of its digits reaches 1.