The number 87977
87977 is the 8542nd prime number. Its only divisors are 1 and 87977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87977: the 8542nd prime number.
- 2
87977 is prime, so its only factors are 1 and 87977. It is the 8542nd prime; the next prime is 87991 and the one before is 87973.
- 3
The divisors add up to 87978; without 87977 itself that is 1, so 87977 is deficient (1 is less than 87977). Euler's totient φ(87977) = 87976 numbers up to 87977 share no factor with it.
- 4
The digits of 87977 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
87977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87978 |
| Euler totient φ(n) | 87976 |
| Square | 7739952529 |
| Cube | 680937803643833 |
| Square root | 296.609170 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.7977 × |
87977 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 10101011110101001 |
| Octal (base 8) | 253651 |
| Hexadecimal (base 16) | 157A9 |
| Base 3 | 11110200102 |
| As time | 87977 seconds = 24 h 26 min 17 s |
Is 87977 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | 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 87977 a prime number?
Yes. 87977 is divisible only by 1 and itself.
What are the factors of 87977?
1, 87977.
What is 87977 in binary?
10101011110101001 (hexadecimal 157A9, octal 253651).
What is the square root of 87977?
About 296.6092.
Is 87977 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 87977?
87977 is the 8542nd prime number.