The number 98011
98011 is a twin prime (98009 and 98011 are both prime) and the 9420th prime number. Its only divisors are 1 and 98011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98011: a twin prime (98009 and 98011 are both prime); the 9420th prime number.
- 2
98011 is prime, so its only factors are 1 and 98011. It is the 9420th prime; the next prime is 98017 and the one before is 98009.
- 3
The divisors add up to 98012; without 98011 itself that is 1, so 98011 is deficient (1 is less than 98011). Euler's totient φ(98011) = 98010 numbers up to 98011 share no factor with it.
- 4
The digits of 98011 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
98011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98012 |
| Euler totient φ(n) | 98010 |
| Square | 9606156121 |
| Cube | 941508967575331 |
| Square root | 313.067085 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 172 |
| Scientific notation | 9.8011 × |
98011 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and eleven |
| Binary (base 2) | 10111111011011011 |
| Octal (base 8) | 277333 |
| Hexadecimal (base 16) | 17EDB |
| Base 3 | 11222110001 |
| As time | 98011 seconds = 27 h 13 min 31 s |
Is 98011 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 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 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 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 98011 a prime number?
Yes. 98011 is divisible only by 1 and itself.
What are the factors of 98011?
1, 98011.
What is 98011 in binary?
10111111011011011 (hexadecimal 17EDB, octal 277333).
What is the square root of 98011?
About 313.0671.
Is 98011 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 98011?
98011 is a twin prime (98009 and 98011 are both prime); the 9420th prime number.