The number 98713
98713 is a twin prime (98711 and 98713 are both prime) and the 9476th prime number. Its only divisors are 1 and 98713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98713: a twin prime (98711 and 98713 are both prime); the 9476th prime number.
- 2
98713 is prime, so its only factors are 1 and 98713. It is the 9476th prime; the next prime is 98717 and the one before is 98711.
- 3
The divisors add up to 98714; without 98713 itself that is 1, so 98713 is deficient (1 is less than 98713). Euler's totient φ(98713) = 98712 numbers up to 98713 share no factor with it.
- 4
The digits of 98713 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 159 steps to reach 1.
98713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98714 |
| Euler totient φ(n) | 98712 |
| Square | 9744256369 |
| Cube | 961884778953097 |
| Square root | 314.186250 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8713 × |
98713 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and thirteen |
| Binary (base 2) | 11000000110011001 |
| Octal (base 8) | 300631 |
| Hexadecimal (base 16) | 18199 |
| Base 3 | 12000102001 |
| As time | 98713 seconds = 27 h 25 min 13 s |
Is 98713 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98713 a prime number?
Yes. 98713 is divisible only by 1 and itself.
What are the factors of 98713?
1, 98713.
What is 98713 in binary?
11000000110011001 (hexadecimal 18199, octal 300631).
What is the square root of 98713?
About 314.1863.
Is 98713 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 98713?
98713 is a twin prime (98711 and 98713 are both prime); the 9476th prime number.