The number 96013
96013 is the 9254th prime number. Its only divisors are 1 and 96013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96013: the 9254th prime number.
- 2
96013 is prime, so its only factors are 1 and 96013. It is the 9254th prime; the next prime is 96017 and the one before is 96001.
- 3
The divisors add up to 96014; without 96013 itself that is 1, so 96013 is deficient (1 is less than 96013). Euler's totient φ(96013) = 96012 numbers up to 96013 share no factor with it.
- 4
The digits of 96013 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 146 steps to reach 1.
96013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 96014 |
| Euler totient φ(n) | 96012 |
| Square | 9218496169 |
| Cube | 885095472674197 |
| Square root | 309.859646 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6013 × |
96013 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and thirteen |
| Binary (base 2) | 10111011100001101 |
| Octal (base 8) | 273415 |
| Hexadecimal (base 16) | 1770D |
| Base 3 | 11212201001 |
| As time | 96013 seconds = 26 h 40 min 13 s |
Is 96013 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 96013 a prime number?
Yes. 96013 is divisible only by 1 and itself.
What are the factors of 96013?
1, 96013.
What is 96013 in binary?
10111011100001101 (hexadecimal 1770D, octal 273415).
What is the square root of 96013?
About 309.8596.
Is 96013 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 96013?
96013 is the 9254th prime number.