The number 67342
67342 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 3061. Divisors (8): 1, 2, 11, 22, 3061, 6122, 33671, 67342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67342: a Harshad number: divisible by its digit sum 22.
- 2
67342 is composite. Its prime factorisation is
- 3
The divisors add up to 110232; without 67342 itself that is 42890, so 67342 is deficient (42890 is less than 67342). Euler's totient φ(67342) = 30600 numbers up to 67342 share no factor with it.
- 4
The digits of 67342 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67342 = 2 \times 11 \times 3061 \]
67342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 110232 |
| Euler totient φ(n) | 30600 |
| Square | 4534944964 |
| Cube | 305392263765688 |
| Square root | 259.503372 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7342 × |
67342 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and forty-two |
| Binary (base 2) | 10000011100001110 |
| Octal (base 8) | 203416 |
| Hexadecimal (base 16) | 1070E |
| Base 3 | 10102101011 |
| As time | 67342 seconds = 18 h 42 min 22 s |
Is 67342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67342 ÷ 2 = 33671) | 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 | Yes (67342 ÷ 11 = 6122) | 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 67342 a prime number?
No. 67342 = 2 × 11 × 3061, so it is divisible by 2.
What are the factors of 67342?
1, 2, 11, 22, 3061, 6122, 33671, 67342.
What is 67342 in binary?
10000011100001110 (hexadecimal 1070E, octal 203416).
What is the square root of 67342?
About 259.5034.
Is 67342 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67342?
67342 is a Harshad number: divisible by its digit sum 22.