The number 97501
97501 is a twin prime (97499 and 97501 are both prime) and the 9376th prime number. Its only divisors are 1 and 97501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97501: a twin prime (97499 and 97501 are both prime); the 9376th prime number.
- 2
97501 is prime, so its only factors are 1 and 97501. It is the 9376th prime; the next prime is 97511 and the one before is 97499.
- 3
The divisors add up to 97502; without 97501 itself that is 1, so 97501 is deficient (1 is less than 97501). Euler's totient φ(97501) = 97500 numbers up to 97501 share no factor with it.
- 4
The digits of 97501 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 97 steps to reach 1.
97501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97502 |
| Euler totient φ(n) | 97500 |
| Square | 9506445001 |
| Cube | 926887894042501 |
| Square root | 312.251501 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7501 × |
97501 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and one |
| Binary (base 2) | 10111110011011101 |
| Octal (base 8) | 276335 |
| Hexadecimal (base 16) | 17CDD |
| Base 3 | 11221202011 |
| As time | 97501 seconds = 27 h 5 min 1 s |
Is 97501 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97501 a prime number?
Yes. 97501 is divisible only by 1 and itself.
What are the factors of 97501?
1, 97501.
What is 97501 in binary?
10111110011011101 (hexadecimal 17CDD, octal 276335).
What is the square root of 97501?
About 312.2515.
Is 97501 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97501?
97501 is a twin prime (97499 and 97501 are both prime); the 9376th prime number.