The number 97231
97231 is the 9355th prime number. Its only divisors are 1 and 97231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97231: the 9355th prime number.
- 2
97231 is prime, so its only factors are 1 and 97231. It is the 9355th prime; the next prime is 97241 and the one before is 97213.
- 3
The divisors add up to 97232; without 97231 itself that is 1, so 97231 is deficient (1 is less than 97231). Euler's totient φ(97231) = 97230 numbers up to 97231 share no factor with it.
- 4
The digits of 97231 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
97231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97232 |
| Euler totient φ(n) | 97230 |
| Square | 9453867361 |
| Cube | 919208977377391 |
| Square root | 311.818858 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7231 × |
97231 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and thirty-one |
| Binary (base 2) | 10111101111001111 |
| Octal (base 8) | 275717 |
| Hexadecimal (base 16) | 17BCF |
| Base 3 | 11221101011 |
| As time | 97231 seconds = 27 h 0 min 31 s |
Is 97231 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 1) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 97231 a prime number?
Yes. 97231 is divisible only by 1 and itself.
What are the factors of 97231?
1, 97231.
What is 97231 in binary?
10111101111001111 (hexadecimal 17BCF, octal 275717).
What is the square root of 97231?
About 311.8189.
Is 97231 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97231?
97231 is the 9355th prime number.