The number 19013
19013 is the 2161st prime number. Its only divisors are 1 and 19013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19013: the 2161st prime number.
- 2
19013 is prime, so its only factors are 1 and 19013. It is the 2161st prime; the next prime is 19031 and the one before is 19009.
- 3
The divisors add up to 19014; without 19013 itself that is 1, so 19013 is deficient (1 is less than 19013). Euler's totient φ(19013) = 19012 numbers up to 19013 share no factor with it.
- 4
The digits of 19013 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
19013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 19014 |
| Euler totient φ(n) | 19012 |
| Square | 361494169 |
| Cube | 6873088635197 |
| Square root | 137.887635 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.9013 × |
19013 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and thirteen |
| Binary (base 2) | 100101001000101 |
| Octal (base 8) | 45105 |
| Hexadecimal (base 16) | 4A45 |
| Base 3 | 222002012 |
| As time | 19013 seconds = 5 h 16 min 53 s |
Is 19013 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 3) | 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 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19013 a prime number?
Yes. 19013 is divisible only by 1 and itself.
What are the factors of 19013?
1, 19013.
What is 19013 in binary?
100101001000101 (hexadecimal 4A45, octal 45105).
What is the square root of 19013?
About 137.8876.
Is 19013 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 19013?
19013 is the 2161st prime number.