The number 67481
67481 is the 6722nd prime number. Its only divisors are 1 and 67481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67481: the 6722nd prime number.
- 2
67481 is prime, so its only factors are 1 and 67481. It is the 6722nd prime; the next prime is 67489 and the one before is 67477.
- 3
The divisors add up to 67482; without 67481 itself that is 1, so 67481 is deficient (1 is less than 67481). Euler's totient φ(67481) = 67480 numbers up to 67481 share no factor with it.
- 4
The digits of 67481 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
67481 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67482 |
| Euler totient φ(n) | 67480 |
| Square | 4553685361 |
| Cube | 307287241845641 |
| Square root | 259.771053 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7481 × |
67481 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eighty-one |
| Binary (base 2) | 10000011110011001 |
| Octal (base 8) | 203631 |
| Hexadecimal (base 16) | 10799 |
| Base 3 | 10102120022 |
| As time | 67481 seconds = 18 h 44 min 41 s |
Is 67481 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67481 a prime number?
Yes. 67481 is divisible only by 1 and itself.
What are the factors of 67481?
1, 67481.
What is 67481 in binary?
10000011110011001 (hexadecimal 10799, octal 203631).
What is the square root of 67481?
About 259.7711.
Is 67481 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67481?
67481 is the 6722nd prime number.