The number 67842
67842 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3769. Divisors (12): 1, 2, 3, 6, 9, 18, 3769, 7538, 11307, 22614, 33921, 67842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67842 is composite. Its prime factorisation is
- 3
The divisors add up to 147030; without 67842 itself that is 79188, so 67842 is abundant (79188 is more than 67842). Euler's totient φ(67842) = 22608 numbers up to 67842 share no factor with it.
- 4
The digits of 67842 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67842 = 2 \times 3^{2} \times 3769 \]67842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147030 |
| Euler totient φ(n) | 22608 |
| Square | 4602536964 |
| Cube | 312245312711688 |
| Square root | 260.464969 (= 3√7538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7842 × |
67842 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and forty-two |
| Binary (base 2) | 10000100100000010 |
| Octal (base 8) | 204402 |
| Hexadecimal (base 16) | 10902 |
| Base 3 | 10110001200 |
| As time | 67842 seconds = 18 h 50 min 42 s |
Is 67842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67842 ÷ 2 = 33921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67842 ÷ 3 = 22614) | 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 | Yes (67842 ÷ 6 = 11307) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67842 ÷ 9 = 7538) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67842 a prime number?
No. 67842 = 2 × × 3769, so it is divisible by 2.
What are the factors of 67842?
1, 2, 3, 6, 9, 18, 3769, 7538, 11307, 22614, 33921, 67842.
What is 67842 in binary?
10000100100000010 (hexadecimal 10902, octal 204402).
What is the square root of 67842?
About 260.4650, exactly 3√7538.
Is 67842 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67842?
It is a composite number with 12 divisors.