The number 19009
19009 is the 2160th prime number. Its only divisors are 1 and 19009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19009: the 2160th prime number.
- 2
19009 is prime, so its only factors are 1 and 19009. It is the 2160th prime; the next prime is 19013 and the one before is 19001.
- 3
The divisors add up to 19010; without 19009 itself that is 1, so 19009 is deficient (1 is less than 19009). Euler's totient φ(19009) = 19008 numbers up to 19009 share no factor with it.
- 4
The digits of 19009 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 123 steps to reach 1.
19009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 19010 |
| Euler totient φ(n) | 19008 |
| Square | 361342081 |
| Cube | 6868751617729 |
| Square root | 137.873130 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.9009 × |
19009 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and nine |
| Binary (base 2) | 100101001000001 |
| Octal (base 8) | 45101 |
| Hexadecimal (base 16) | 4A41 |
| Base 3 | 222002001 |
| As time | 19009 seconds = 5 h 16 min 49 s |
Is 19009 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 4) | 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 19009 a prime number?
Yes. 19009 is divisible only by 1 and itself.
What are the factors of 19009?
1, 19009.
What is 19009 in binary?
100101001000001 (hexadecimal 4A41, octal 45101).
What is the square root of 19009?
About 137.8731.
Is 19009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 19009?
19009 is the 2160th prime number.