The number 98143
98143 is the 9429th prime number. Its only divisors are 1 and 98143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98143: the 9429th prime number.
- 2
98143 is prime, so its only factors are 1 and 98143. It is the 9429th prime; the next prime is 98179 and the one before is 98129.
- 3
The divisors add up to 98144; without 98143 itself that is 1, so 98143 is deficient (1 is less than 98143). Euler's totient φ(98143) = 98142 numbers up to 98143 share no factor with it.
- 4
The digits of 98143 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
98143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98144 |
| Euler totient φ(n) | 98142 |
| Square | 9632048449 |
| Cube | 945318130930207 |
| Square root | 313.277832 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8143 × |
98143 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and forty-three |
| Binary (base 2) | 10111111101011111 |
| Octal (base 8) | 277537 |
| Hexadecimal (base 16) | 17F5F |
| Base 3 | 11222121221 |
| As time | 98143 seconds = 27 h 15 min 43 s |
Is 98143 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 98143 a prime number?
Yes. 98143 is divisible only by 1 and itself.
What are the factors of 98143?
1, 98143.
What is 98143 in binary?
10111111101011111 (hexadecimal 17F5F, octal 277537).
What is the square root of 98143?
About 313.2778.
Is 98143 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98143?
98143 is the 9429th prime number.