The number 97301
97301 is a twin prime (97301 and 97303 are both prime) and the 9359th prime number. Its only divisors are 1 and 97301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97301: a twin prime (97301 and 97303 are both prime); the 9359th prime number.
- 2
97301 is prime, so its only factors are 1 and 97301. It is the 9359th prime; the next prime is 97303 and the one before is 97283.
- 3
The divisors add up to 97302; without 97301 itself that is 1, so 97301 is deficient (1 is less than 97301). Euler's totient φ(97301) = 97300 numbers up to 97301 share no factor with it.
- 4
The digits of 97301 add up to 20, 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.
97301 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97302 |
| Euler totient φ(n) | 97300 |
| Square | 9467484601 |
| Cube | 921195719161901 |
| Square root | 311.931082 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7301 × |
97301 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and one |
| Binary (base 2) | 10111110000010101 |
| Octal (base 8) | 276025 |
| Hexadecimal (base 16) | 17C15 |
| Base 3 | 11221110202 |
| As time | 97301 seconds = 27 h 1 min 41 s |
Is 97301 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 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 5) | 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 6) | 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 97301 a prime number?
Yes. 97301 is divisible only by 1 and itself.
What are the factors of 97301?
1, 97301.
What is 97301 in binary?
10111110000010101 (hexadecimal 17C15, octal 276025).
What is the square root of 97301?
About 311.9311.
Is 97301 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97301?
97301 is a twin prime (97301 and 97303 are both prime); the 9359th prime number.