The number 67741
67741 is the 6746th prime number. Its only divisors are 1 and 67741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67741: the 6746th prime number.
- 2
67741 is prime, so its only factors are 1 and 67741. It is the 6746th prime; the next prime is 67751 and the one before is 67733.
- 3
The divisors add up to 67742; without 67741 itself that is 1, so 67741 is deficient (1 is less than 67741). Euler's totient φ(67741) = 67740 numbers up to 67741 share no factor with it.
- 4
The digits of 67741 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
67741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67742 |
| Euler totient φ(n) | 67740 |
| Square | 4588843081 |
| Cube | 310852819150021 |
| Square root | 260.271013 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.7741 × |
67741 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-one |
| Binary (base 2) | 10000100010011101 |
| Octal (base 8) | 204235 |
| Hexadecimal (base 16) | 1089D |
| Base 3 | 10102220221 |
| As time | 67741 seconds = 18 h 49 min 1 s |
Is 67741 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67741 a prime number?
Yes. 67741 is divisible only by 1 and itself.
What are the factors of 67741?
1, 67741.
What is 67741 in binary?
10000100010011101 (hexadecimal 1089D, octal 204235).
What is the square root of 67741?
About 260.2710.
Is 67741 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67741?
67741 is the 6746th prime number.