The number 43724
43724 is a composite number with 12 divisors. Its prime factorisation is × 17 × 643. Divisors (12): 1, 2, 4, 17, 34, 68, 643, 1286, 2572, 10931, 21862, 43724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43724: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43724 is composite. Its prime factorisation is
- 3
The divisors add up to 81144; without 43724 itself that is 37420, so 43724 is deficient (37420 is less than 43724). Euler's totient φ(43724) = 20544 numbers up to 43724 share no factor with it.
- 4
The digits of 43724 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43724 = 2^{2} \times 17 \times 643 \]43724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81144 |
| Euler totient φ(n) | 20544 |
| Square | 1911788176 |
| Cube | 83591026207424 |
| Square root | 209.102846 (= 2√10931) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3724 × |
43724 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twenty-four |
| Binary (base 2) | 1010101011001100 |
| Octal (base 8) | 125314 |
| Hexadecimal (base 16) | AACC |
| Base 3 | 2012222102 |
| As time | 43724 seconds = 12 h 8 min 44 s |
Is 43724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43724 ÷ 2 = 21862) | 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 (43724 ÷ 4 = 10931) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 43724 a prime number?
No. 43724 = × 17 × 643, so it is divisible by 2.
What are the factors of 43724?
1, 2, 4, 17, 34, 68, 643, 1286, 2572, 10931, 21862, 43724.
What is 43724 in binary?
1010101011001100 (hexadecimal AACC, octal 125314).
What is the square root of 43724?
About 209.1028, exactly 2√10931.
Is 43724 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43724?
43724 is a happy number: repeatedly adding the squares of its digits reaches 1.