The number 97931
97931 is the 9413th prime number. Its only divisors are 1 and 97931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97931: the 9413th prime number.
- 2
97931 is prime, so its only factors are 1 and 97931. It is the 9413th prime; the next prime is 97943 and the one before is 97927.
- 3
The divisors add up to 97932; without 97931 itself that is 1, so 97931 is deficient (1 is less than 97931). Euler's totient φ(97931) = 97930 numbers up to 97931 share no factor with it.
- 4
The digits of 97931 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
97931 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97932 |
| Euler totient φ(n) | 97930 |
| Square | 9590480761 |
| Cube | 939205371405491 |
| Square root | 312.939291 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7931 × |
97931 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and thirty-one |
| Binary (base 2) | 10111111010001011 |
| Octal (base 8) | 277213 |
| Hexadecimal (base 16) | 17E8B |
| Base 3 | 11222100002 |
| As time | 97931 seconds = 27 h 12 min 11 s |
Is 97931 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 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 3) | 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 1) | 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 97931 a prime number?
Yes. 97931 is divisible only by 1 and itself.
What are the factors of 97931?
1, 97931.
What is 97931 in binary?
10111111010001011 (hexadecimal 17E8B, octal 277213).
What is the square root of 97931?
About 312.9393.
Is 97931 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97931?
97931 is the 9413th prime number.