The number 19000
19000 is a composite number with 32 divisors. Its prime factorisation is × × 19. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125 … 19000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19000: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
19000 is composite. Its prime factorisation is
- 3
The divisors add up to 46800; without 19000 itself that is 27800, so 19000 is abundant (27800 is more than 19000). Euler's totient φ(19000) = 7200 numbers up to 19000 share no factor with it.
- 4
The digits of 19000 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19000 = 2^{3} \times 5^{3} \times 19 \]19000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 46800 |
| Euler totient φ(n) | 7200 |
| Square | 361000000 |
| Cube | 6859000000000 |
| Square root | 137.840488 (= 10√190) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9 × |
19000 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand |
| Binary (base 2) | 100101000111000 |
| Octal (base 8) | 45070 |
| Hexadecimal (base 16) | 4A38 |
| Base 3 | 222001201 |
| As time | 19000 seconds = 5 h 16 min 40 s |
Is 19000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19000 ÷ 2 = 9500) | 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 | Yes (19000 ÷ 4 = 4750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19000 ÷ 5 = 3800) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (19000 ÷ 8 = 2375) | 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 | Yes (19000 ÷ 10 = 1900) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19000 a prime number?
No. 19000 = × × 19, so it is divisible by 2.
What are the factors of 19000?
1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 760, 950, 1000, 1900, 2375, 3800, 4750, 9500, 19000.
What is 19000 in binary?
100101000111000 (hexadecimal 4A38, octal 45070).
What is the square root of 19000?
About 137.8405, exactly 10√190.
Is 19000 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 19000?
19000 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.