The number 97987
97987 is the 9418th prime number. Its only divisors are 1 and 97987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97987: the 9418th prime number.
- 2
97987 is prime, so its only factors are 1 and 97987. It is the 9418th prime; the next prime is 98009 and the one before is 97973.
- 3
The divisors add up to 97988; without 97987 itself that is 1, so 97987 is deficient (1 is less than 97987). Euler's totient φ(97987) = 97986 numbers up to 97987 share no factor with it.
- 4
The digits of 97987 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
97987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97988 |
| Euler totient φ(n) | 97986 |
| Square | 9601452169 |
| Cube | 940817493683803 |
| Square root | 313.028753 |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7987 × |
97987 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and eighty-seven |
| Binary (base 2) | 10111111011000011 |
| Octal (base 8) | 277303 |
| Hexadecimal (base 16) | 17EC3 |
| Base 3 | 11222102011 |
| As time | 97987 seconds = 27 h 13 min 7 s |
Is 97987 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97987 a prime number?
Yes. 97987 is divisible only by 1 and itself.
What are the factors of 97987?
1, 97987.
What is 97987 in binary?
10111111011000011 (hexadecimal 17EC3, octal 277303).
What is the square root of 97987?
About 313.0288.
Is 97987 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 97987?
97987 is the 9418th prime number.