The number 98801
98801 is the 9483rd prime number. Its only divisors are 1 and 98801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98801: the 9483rd prime number.
- 2
98801 is prime, so its only factors are 1 and 98801. It is the 9483rd prime; the next prime is 98807 and the one before is 98779.
- 3
The divisors add up to 98802; without 98801 itself that is 1, so 98801 is deficient (1 is less than 98801). Euler's totient φ(98801) = 98800 numbers up to 98801 share no factor with it.
- 4
The digits of 98801 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
98801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98802 |
| Euler totient φ(n) | 98800 |
| Square | 9761637601 |
| Cube | 964459556616401 |
| Square root | 314.326264 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.8801 × |
98801 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred and one |
| Binary (base 2) | 11000000111110001 |
| Octal (base 8) | 300761 |
| Hexadecimal (base 16) | 181F1 |
| Base 3 | 12000112022 |
| As time | 98801 seconds = 27 h 26 min 41 s |
Is 98801 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98801 a prime number?
Yes. 98801 is divisible only by 1 and itself.
What are the factors of 98801?
1, 98801.
What is 98801 in binary?
11000000111110001 (hexadecimal 181F1, octal 300761).
What is the square root of 98801?
About 314.3263.
Is 98801 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 98801?
98801 is the 9483rd prime number.