The number 97843
97843 is a twin prime (97841 and 97843 are both prime) and the 9403rd prime number. Its only divisors are 1 and 97843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97843: a twin prime (97841 and 97843 are both prime); the 9403rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97843 is prime, so its only factors are 1 and 97843. It is the 9403rd prime; the next prime is 97847 and the one before is 97841.
- 3
The divisors add up to 97844; without 97843 itself that is 1, so 97843 is deficient (1 is less than 97843). Euler's totient φ(97843) = 97842 numbers up to 97843 share no factor with it.
- 4
The digits of 97843 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
97843 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97844 |
| Euler totient φ(n) | 97842 |
| Square | 9573252649 |
| Cube | 936675758936107 |
| Square root | 312.798657 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7843 × |
97843 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and forty-three |
| Binary (base 2) | 10111111000110011 |
| Octal (base 8) | 277063 |
| Hexadecimal (base 16) | 17E33 |
| Base 3 | 11222012211 |
| As time | 97843 seconds = 27 h 10 min 43 s |
Is 97843 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 3) | 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 1) | 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 3) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97843 a prime number?
Yes. 97843 is divisible only by 1 and itself.
What are the factors of 97843?
1, 97843.
What is 97843 in binary?
10111111000110011 (hexadecimal 17E33, octal 277063).
What is the square root of 97843?
About 312.7987.
Is 97843 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97843?
97843 is a twin prime (97841 and 97843 are both prime); the 9403rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.