The number 43108
43108 is a composite number with 12 divisors. Its prime factorisation is × 13 × 829. Divisors (12): 1, 2, 4, 13, 26, 52, 829, 1658, 3316, 10777, 21554, 43108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43108 is composite. Its prime factorisation is
- 3
The divisors add up to 81340; without 43108 itself that is 38232, so 43108 is deficient (38232 is less than 43108). Euler's totient φ(43108) = 19872 numbers up to 43108 share no factor with it.
- 4
The digits of 43108 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43108 = 2^{2} \times 13 \times 829 \]43108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81340 |
| Euler totient φ(n) | 19872 |
| Square | 1858299664 |
| Cube | 80107581915712 |
| Square root | 207.624661 (= 2√10777) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.3108 × |
43108 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and eight |
| Binary (base 2) | 1010100001100100 |
| Octal (base 8) | 124144 |
| Hexadecimal (base 16) | A864 |
| Base 3 | 2012010121 |
| As time | 43108 seconds = 11 h 58 min 28 s |
Is 43108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43108 ÷ 2 = 21554) | 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 (43108 ÷ 4 = 10777) | 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 | 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 7) | 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 10) | 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 43108 a prime number?
No. 43108 = × 13 × 829, so it is divisible by 2.
What are the factors of 43108?
1, 2, 4, 13, 26, 52, 829, 1658, 3316, 10777, 21554, 43108.
What is 43108 in binary?
1010100001100100 (hexadecimal A864, octal 124144).
What is the square root of 43108?
About 207.6247, exactly 2√10777.
Is 43108 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43108?
It is a composite number with 12 divisors.