The number 98731
98731 is a twin prime (98729 and 98731 are both prime) and the 9479th prime number. Its only divisors are 1 and 98731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98731: a twin prime (98729 and 98731 are both prime); the 9479th prime number.
- 2
98731 is prime, so its only factors are 1 and 98731. It is the 9479th prime; the next prime is 98737 and the one before is 98729.
- 3
The divisors add up to 98732; without 98731 itself that is 1, so 98731 is deficient (1 is less than 98731). Euler's totient φ(98731) = 98730 numbers up to 98731 share no factor with it.
- 4
The digits of 98731 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 146 steps to reach 1.
98731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98732 |
| Euler totient φ(n) | 98730 |
| Square | 9747810361 |
| Cube | 962411064751891 |
| Square root | 314.214895 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8731 × |
98731 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and thirty-one |
| Binary (base 2) | 11000000110101011 |
| Octal (base 8) | 300653 |
| Hexadecimal (base 16) | 181AB |
| Base 3 | 12000102201 |
| As time | 98731 seconds = 27 h 25 min 31 s |
Is 98731 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 1) | 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 98731 a prime number?
Yes. 98731 is divisible only by 1 and itself.
What are the factors of 98731?
1, 98731.
What is 98731 in binary?
11000000110101011 (hexadecimal 181AB, octal 300653).
What is the square root of 98731?
About 314.2149.
Is 98731 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 98731?
98731 is a twin prime (98729 and 98731 are both prime); the 9479th prime number.