The number 43712
43712 is a composite number with 14 divisors. Its prime factorisation is × 683. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 683, 1366, 2732, 5464, 10928, 21856, 43712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43712: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43712 is composite. Its prime factorisation is
- 3
The divisors add up to 86868; without 43712 itself that is 43156, so 43712 is deficient (43156 is less than 43712). Euler's totient φ(43712) = 21824 numbers up to 43712 share no factor with it.
- 4
The digits of 43712 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43712 = 2^{6} \times 683 \]43712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 86868 |
| Euler totient φ(n) | 21824 |
| Square | 1910738944 |
| Cube | 83522220720128 |
| Square root | 209.074150 (= 8√683) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3712 × |
43712 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twelve |
| Binary (base 2) | 1010101011000000 |
| Octal (base 8) | 125300 |
| Hexadecimal (base 16) | AAC0 |
| Base 3 | 2012221222 |
| As time | 43712 seconds = 12 h 8 min 32 s |
Is 43712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43712 ÷ 2 = 21856) | 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 (43712 ÷ 4 = 10928) | 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 4) | 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 (43712 ÷ 8 = 5464) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 43712 a prime number?
No. 43712 = × 683, so it is divisible by 2.
What are the factors of 43712?
1, 2, 4, 8, 16, 32, 64, 683, 1366, 2732, 5464, 10928, 21856, 43712.
What is 43712 in binary?
1010101011000000 (hexadecimal AAC0, octal 125300).
What is the square root of 43712?
About 209.0741, exactly 8√683.
Is 43712 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43712?
43712 is a happy number: repeatedly adding the squares of its digits reaches 1.