The number 97001
97001 is a twin prime (97001 and 97003 are both prime) and the 9337th prime number. Its only divisors are 1 and 97001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97001: a twin prime (97001 and 97003 are both prime); the 9337th prime number.
- 2
97001 is prime, so its only factors are 1 and 97001. It is the 9337th prime; the next prime is 97003 and the one before is 96997.
- 3
The divisors add up to 97002; without 97001 itself that is 1, so 97001 is deficient (1 is less than 97001). Euler's totient φ(97001) = 97000 numbers up to 97001 share no factor with it.
- 4
The digits of 97001 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
97001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97002 |
| Euler totient φ(n) | 97000 |
| Square | 9409194001 |
| Cube | 912701227291001 |
| Square root | 311.449835 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7001 × |
97001 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and one |
| Binary (base 2) | 10111101011101001 |
| Octal (base 8) | 275351 |
| Hexadecimal (base 16) | 17AE9 |
| Base 3 | 11221001122 |
| As time | 97001 seconds = 26 h 56 min 41 s |
Is 97001 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 2) | 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 8) | 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 3) | 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 97001 a prime number?
Yes. 97001 is divisible only by 1 and itself.
What are the factors of 97001?
1, 97001.
What is 97001 in binary?
10111101011101001 (hexadecimal 17AE9, octal 275351).
What is the square root of 97001?
About 311.4498.
Is 97001 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 97001?
97001 is a twin prime (97001 and 97003 are both prime); the 9337th prime number.