The number 96001
96001 is the 9253rd prime number. Its only divisors are 1 and 96001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96001: the 9253rd prime number.
- 2
96001 is prime, so its only factors are 1 and 96001. It is the 9253rd prime; the next prime is 96013 and the one before is 95989.
- 3
The divisors add up to 96002; without 96001 itself that is 1, so 96001 is deficient (1 is less than 96001). Euler's totient φ(96001) = 96000 numbers up to 96001 share no factor with it.
- 4
The digits of 96001 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
96001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 96002 |
| Euler totient φ(n) | 96000 |
| Square | 9216192001 |
| Cube | 884763648288001 |
| Square root | 309.840281 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.6001 × |
96001 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and one |
| Binary (base 2) | 10111011100000001 |
| Octal (base 8) | 273401 |
| Hexadecimal (base 16) | 17701 |
| Base 3 | 11212200121 |
| As time | 96001 seconds = 26 h 40 min 1 s |
Is 96001 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 96001 a prime number?
Yes. 96001 is divisible only by 1 and itself.
What are the factors of 96001?
1, 96001.
What is 96001 in binary?
10111011100000001 (hexadecimal 17701, octal 273401).
What is the square root of 96001?
About 309.8403.
Is 96001 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 96001?
96001 is the 9253rd prime number.