The number 19001
19001 is the 2159th prime number. Its only divisors are 1 and 19001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19001: the 2159th prime number.
- 2
19001 is prime, so its only factors are 1 and 19001. It is the 2159th prime; the next prime is 19009 and the one before is 18979.
- 3
The divisors add up to 19002; without 19001 itself that is 1, so 19001 is deficient (1 is less than 19001). Euler's totient φ(19001) = 19000 numbers up to 19001 share no factor with it.
- 4
The digits of 19001 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
19001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 19002 |
| Euler totient φ(n) | 19000 |
| Square | 361038001 |
| Cube | 6860083057001 |
| Square root | 137.844115 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.9001 × |
19001 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and one |
| Binary (base 2) | 100101000111001 |
| Octal (base 8) | 45071 |
| Hexadecimal (base 16) | 4A39 |
| Base 3 | 222001202 |
| As time | 19001 seconds = 5 h 16 min 41 s |
Is 19001 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 1) | 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 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19001 a prime number?
Yes. 19001 is divisible only by 1 and itself.
What are the factors of 19001?
1, 19001.
What is 19001 in binary?
100101000111001 (hexadecimal 4A39, octal 45071).
What is the square root of 19001?
About 137.8441.
Is 19001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 19001?
19001 is the 2159th prime number.