The number 97007
97007 is the 9339th prime number. Its only divisors are 1 and 97007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97007: the 9339th prime number.
- 2
97007 is prime, so its only factors are 1 and 97007. It is the 9339th prime; the next prime is 97021 and the one before is 97003.
- 3
The divisors add up to 97008; without 97007 itself that is 1, so 97007 is deficient (1 is less than 97007). Euler's totient φ(97007) = 97006 numbers up to 97007 share no factor with it.
- 4
The digits of 97007 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
97007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97008 |
| Euler totient φ(n) | 97006 |
| Square | 9410358049 |
| Cube | 912870603259343 |
| Square root | 311.459468 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7007 × |
97007 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and seven |
| Binary (base 2) | 10111101011101111 |
| Octal (base 8) | 275357 |
| Hexadecimal (base 16) | 17AEF |
| Base 3 | 11221001212 |
| As time | 97007 seconds = 26 h 56 min 47 s |
Is 97007 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 97007 a prime number?
Yes. 97007 is divisible only by 1 and itself.
What are the factors of 97007?
1, 97007.
What is 97007 in binary?
10111101011101111 (hexadecimal 17AEF, octal 275357).
What is the square root of 97007?
About 311.4595.
Is 97007 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97007?
97007 is the 9339th prime number.