The number 43368
43368 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 139. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 139, 156 … 43368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43368: a Harshad number: divisible by its digit sum 24.
- 2
43368 is composite. Its prime factorisation is
- 3
The divisors add up to 117600; without 43368 itself that is 74232, so 43368 is abundant (74232 is more than 43368). Euler's totient φ(43368) = 13248 numbers up to 43368 share no factor with it.
- 4
The digits of 43368 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43368 = 2^{3} \times 3 \times 13 \times 139 \]43368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 117600 |
| Euler totient φ(n) | 13248 |
| Square | 1880783424 |
| Cube | 81565815532032 |
| Square root | 208.249850 (= 2√10842) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3368 × |
43368 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and sixty-eight |
| Binary (base 2) | 1010100101101000 |
| Octal (base 8) | 124550 |
| Hexadecimal (base 16) | A968 |
| Base 3 | 2012111020 |
| As time | 43368 seconds = 12 h 2 min 48 s |
Is 43368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43368 ÷ 2 = 21684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43368 ÷ 3 = 14456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43368 ÷ 4 = 10842) | 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 | Yes (43368 ÷ 6 = 7228) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (43368 ÷ 8 = 5421) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43368 ÷ 12 = 3614) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43368 a prime number?
No. 43368 = × 3 × 13 × 139, so it is divisible by 2.
What are the factors of 43368?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 139, 156, 278, 312, 417, 556, 834, 1112, 1668, 1807, 3336, 3614, 5421, 7228, 10842, 14456, 21684, 43368.
What is 43368 in binary?
1010100101101000 (hexadecimal A968, octal 124550).
What is the square root of 43368?
About 208.2498, exactly 2√10842.
Is 43368 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43368?
43368 is a Harshad number: divisible by its digit sum 24.