The number 97073
97073 is the 9342nd prime number. Its only divisors are 1 and 97073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97073: the 9342nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97073 is prime, so its only factors are 1 and 97073. It is the 9342nd prime; the next prime is 97081 and the one before is 97039.
- 3
The divisors add up to 97074; without 97073 itself that is 1, so 97073 is deficient (1 is less than 97073). Euler's totient φ(97073) = 97072 numbers up to 97073 share no factor with it.
- 4
The digits of 97073 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
97073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97074 |
| Euler totient φ(n) | 97072 |
| Square | 9423167329 |
| Cube | 914735122128017 |
| Square root | 311.565402 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7073 × |
97073 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and seventy-three |
| Binary (base 2) | 10111101100110001 |
| Octal (base 8) | 275461 |
| Hexadecimal (base 16) | 17B31 |
| Base 3 | 11221011022 |
| As time | 97073 seconds = 26 h 57 min 53 s |
Is 97073 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 4) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97073 a prime number?
Yes. 97073 is divisible only by 1 and itself.
What are the factors of 97073?
1, 97073.
What is 97073 in binary?
10111101100110001 (hexadecimal 17B31, octal 275461).
What is the square root of 97073?
About 311.5654.
Is 97073 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97073?
97073 is the 9342nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.