The number 97673
97673 is the 9392nd prime number. Its only divisors are 1 and 97673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97673: the 9392nd prime number.
- 2
97673 is prime, so its only factors are 1 and 97673. It is the 9392nd prime; the next prime is 97687 and the one before is 97651.
- 3
The divisors add up to 97674; without 97673 itself that is 1, so 97673 is deficient (1 is less than 97673). Euler's totient φ(97673) = 97672 numbers up to 97673 share no factor with it.
- 4
The digits of 97673 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
97673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97674 |
| Euler totient φ(n) | 97672 |
| Square | 9540014929 |
| Cube | 931801878160217 |
| Square root | 312.526799 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7673 × |
97673 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and seventy-three |
| Binary (base 2) | 10111110110001001 |
| Octal (base 8) | 276611 |
| Hexadecimal (base 16) | 17D89 |
| Base 3 | 11221222112 |
| As time | 97673 seconds = 27 h 7 min 53 s |
Is 97673 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 97673 a prime number?
Yes. 97673 is divisible only by 1 and itself.
What are the factors of 97673?
1, 97673.
What is 97673 in binary?
10111110110001001 (hexadecimal 17D89, octal 276611).
What is the square root of 97673?
About 312.5268.
Is 97673 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97673?
97673 is the 9392nd prime number.