The number 98443
98443 is the 9453rd prime number. Its only divisors are 1 and 98443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98443: the 9453rd prime number.
- 2
98443 is prime, so its only factors are 1 and 98443. It is the 9453rd prime; the next prime is 98453 and the one before is 98429.
- 3
The divisors add up to 98444; without 98443 itself that is 1, so 98443 is deficient (1 is less than 98443). Euler's totient φ(98443) = 98442 numbers up to 98443 share no factor with it.
- 4
The digits of 98443 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
98443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98444 |
| Euler totient φ(n) | 98442 |
| Square | 9691024249 |
| Cube | 954013500144307 |
| Square root | 313.756275 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.8443 × |
98443 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and forty-three |
| Binary (base 2) | 11000000010001011 |
| Octal (base 8) | 300213 |
| Hexadecimal (base 16) | 1808B |
| Base 3 | 12000001001 |
| As time | 98443 seconds = 27 h 20 min 43 s |
Is 98443 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98443 a prime number?
Yes. 98443 is divisible only by 1 and itself.
What are the factors of 98443?
1, 98443.
What is 98443 in binary?
11000000010001011 (hexadecimal 1808B, octal 300213).
What is the square root of 98443?
About 313.7563.
Is 98443 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 98443?
98443 is the 9453rd prime number.