The number 43342
43342 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1667. Divisors (8): 1, 2, 13, 26, 1667, 3334, 21671, 43342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43342 is composite. Its prime factorisation is
- 3
The divisors add up to 70056; without 43342 itself that is 26714, so 43342 is deficient (26714 is less than 43342). Euler's totient φ(43342) = 19992 numbers up to 43342 share no factor with it.
- 4
The digits of 43342 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43342 = 2 \times 13 \times 1667 \]
43342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70056 |
| Euler totient φ(n) | 19992 |
| Square | 1878528964 |
| Cube | 81419202357688 |
| Square root | 208.187416 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 4.3342 × |
43342 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and forty-two |
| Binary (base 2) | 1010100101001110 |
| Octal (base 8) | 124516 |
| Hexadecimal (base 16) | A94E |
| Base 3 | 2012110021 |
| As time | 43342 seconds = 12 h 2 min 22 s |
Is 43342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43342 ÷ 2 = 21671) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43342 a prime number?
No. 43342 = 2 × 13 × 1667, so it is divisible by 2.
What are the factors of 43342?
1, 2, 13, 26, 1667, 3334, 21671, 43342.
What is 43342 in binary?
1010100101001110 (hexadecimal A94E, octal 124516).
What is the square root of 43342?
About 208.1874.
Is 43342 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43342?
It is a composite number with 8 divisors.