The number 4342
4342 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 167. Divisors (8): 1, 2, 13, 26, 167, 334, 2171, 4342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4342: a Harshad number: divisible by its digit sum 13.
- 2
4342 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 4342 itself that is 2714, so 4342 is deficient (2714 is less than 4342). Euler's totient φ(4342) = 1992 numbers up to 4342 share no factor with it.
- 4
The digits of 4342 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4342 = 2 \times 13 \times 167 \]
4342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1992 |
| Square | 18852964 |
| Cube | 81859569688 |
| Square root | 65.893854 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.342 × |
4342 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and forty-two |
| Binary (base 2) | 1000011110110 |
| Octal (base 8) | 10366 |
| Hexadecimal (base 16) | 10F6 |
| Base 3 | 12221211 |
| As time | 4342 seconds = 1 h 12 min 22 s |
Is 4342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4342 ÷ 2 = 2171) | 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 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4342 a prime number?
No. 4342 = 2 × 13 × 167, so it is divisible by 2.
What are the factors of 4342?
1, 2, 13, 26, 167, 334, 2171, 4342.
What is 4342 in binary?
1000011110110 (hexadecimal 10F6, octal 10366).
What is the square root of 4342?
About 65.8939.
Is 4342 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4342?
4342 is a Harshad number: divisible by its digit sum 13.