The number 99013
99013 is the 9506th prime number. Its only divisors are 1 and 99013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99013: the 9506th prime number.
- 2
99013 is prime, so its only factors are 1 and 99013. It is the 9506th prime; the next prime is 99017 and the one before is 98999.
- 3
The divisors add up to 99014; without 99013 itself that is 1, so 99013 is deficient (1 is less than 99013). Euler's totient φ(99013) = 99012 numbers up to 99013 share no factor with it.
- 4
The digits of 99013 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
99013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 99014 |
| Euler totient φ(n) | 99012 |
| Square | 9803574169 |
| Cube | 970681289195197 |
| Square root | 314.663312 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.9013 × |
99013 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand and thirteen |
| Binary (base 2) | 11000001011000101 |
| Octal (base 8) | 301305 |
| Hexadecimal (base 16) | 182C5 |
| Base 3 | 12000211011 |
| As time | 99013 seconds = 27 h 30 min 13 s |
Is 99013 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 5) | 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 4) | 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 2) | 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 99013 a prime number?
Yes. 99013 is divisible only by 1 and itself.
What are the factors of 99013?
1, 99013.
What is 99013 in binary?
11000001011000101 (hexadecimal 182C5, octal 301305).
What is the square root of 99013?
About 314.6633.
Is 99013 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 99013?
99013 is the 9506th prime number.