The number 43708
43708 is a composite number with 18 divisors. Its prime factorisation is × × 223. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 223, 446, 892, 1561, 3122, 6244, 10927 … 43708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43708 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 43708 itself that is 45668, so 43708 is abundant (45668 is more than 43708). Euler's totient φ(43708) = 18648 numbers up to 43708 share no factor with it.
- 4
The digits of 43708 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43708 = 2^{2} \times 7^{2} \times 223 \]43708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 18648 |
| Square | 1910389264 |
| Cube | 83499293950912 |
| Square root | 209.064583 (= 14√223) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3708 × |
43708 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and eight |
| Binary (base 2) | 1010101010111100 |
| Octal (base 8) | 125274 |
| Hexadecimal (base 16) | AABC |
| Base 3 | 2012221211 |
| As time | 43708 seconds = 12 h 8 min 28 s |
Is 43708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43708 ÷ 2 = 21854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43708 ÷ 4 = 10927) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43708 ÷ 7 = 6244) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43708 a prime number?
No. 43708 = × × 223, so it is divisible by 2.
What are the factors of 43708?
1, 2, 4, 7, 14, 28, 49, 98, 196, 223, 446, 892, 1561, 3122, 6244, 10927, 21854, 43708.
What is 43708 in binary?
1010101010111100 (hexadecimal AABC, octal 125274).
What is the square root of 43708?
About 209.0646, exactly 14√223.
Is 43708 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 43708?
It is a composite number with 18 divisors.