The number 67987
67987 is the 6773rd prime number. Its only divisors are 1 and 67987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67987: the 6773rd prime number.
- 2
67987 is prime, so its only factors are 1 and 67987. It is the 6773rd prime; the next prime is 67993 and the one before is 67979.
- 3
The divisors add up to 67988; without 67987 itself that is 1, so 67987 is deficient (1 is less than 67987). Euler's totient φ(67987) = 67986 numbers up to 67987 share no factor with it.
- 4
The digits of 67987 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
67987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67988 |
| Euler totient φ(n) | 67986 |
| Square | 4622232169 |
| Cube | 314251698473803 |
| Square root | 260.743169 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7987 × |
67987 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-seven |
| Binary (base 2) | 10000100110010011 |
| Octal (base 8) | 204623 |
| Hexadecimal (base 16) | 10993 |
| Base 3 | 10110021001 |
| As time | 67987 seconds = 18 h 53 min 7 s |
Is 67987 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67987 a prime number?
Yes. 67987 is divisible only by 1 and itself.
What are the factors of 67987?
1, 67987.
What is 67987 in binary?
10000100110010011 (hexadecimal 10993, octal 204623).
What is the square root of 67987?
About 260.7432.
Is 67987 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 67987?
67987 is the 6773rd prime number.