The number 98101
98101 is the 9426th prime number. Its only divisors are 1 and 98101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98101: the 9426th prime number.
- 2
98101 is prime, so its only factors are 1 and 98101. It is the 9426th prime; the next prime is 98123 and the one before is 98081.
- 3
The divisors add up to 98102; without 98101 itself that is 1, so 98101 is deficient (1 is less than 98101). Euler's totient φ(98101) = 98100 numbers up to 98101 share no factor with it.
- 4
The digits of 98101 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 159 steps to reach 1.
98101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98102 |
| Euler totient φ(n) | 98100 |
| Square | 9623806201 |
| Cube | 944105012124301 |
| Square root | 313.210792 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8101 × |
98101 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and one |
| Binary (base 2) | 10111111100110101 |
| Octal (base 8) | 277465 |
| Hexadecimal (base 16) | 17F35 |
| Base 3 | 11222120101 |
| As time | 98101 seconds = 27 h 15 min 1 s |
Is 98101 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 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 5) | 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 3) | 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 98101 a prime number?
Yes. 98101 is divisible only by 1 and itself.
What are the factors of 98101?
1, 98101.
What is 98101 in binary?
10111111100110101 (hexadecimal 17F35, octal 277465).
What is the square root of 98101?
About 313.2108.
Is 98101 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 98101?
98101 is the 9426th prime number.