The number 87767
87767 is the 8524th prime number. Its only divisors are 1 and 87767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87767: the 8524th prime number.
- 2
87767 is prime, so its only factors are 1 and 87767. It is the 8524th prime; the next prime is 87793 and the one before is 87751.
- 3
The divisors add up to 87768; without 87767 itself that is 1, so 87767 is deficient (1 is less than 87767). Euler's totient φ(87767) = 87766 numbers up to 87767 share no factor with it.
- 4
The digits of 87767 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
87767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87768 |
| Euler totient φ(n) | 87766 |
| Square | 7703046289 |
| Cube | 676073263646663 |
| Square root | 296.254958 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7767 × |
87767 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and sixty-seven |
| Binary (base 2) | 10101011011010111 |
| Octal (base 8) | 253327 |
| Hexadecimal (base 16) | 156D7 |
| Base 3 | 11110101122 |
| As time | 87767 seconds = 24 h 22 min 47 s |
Is 87767 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 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87767 a prime number?
Yes. 87767 is divisible only by 1 and itself.
What are the factors of 87767?
1, 87767.
What is 87767 in binary?
10101011011010111 (hexadecimal 156D7, octal 253327).
What is the square root of 87767?
About 296.2550.
Is 87767 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 87767?
87767 is the 8524th prime number.