The number 19008
19008 is a composite number with 56 divisors. Its prime factorisation is × × 11. Divisors (56): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33 … 19008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19008: a Harshad number: divisible by its digit sum 18.
- 2
19008 is composite. Its prime factorisation is
- 3
The divisors add up to 60960; without 19008 itself that is 41952, so 19008 is abundant (41952 is more than 19008). Euler's totient φ(19008) = 5760 numbers up to 19008 share no factor with it.
- 4
The digits of 19008 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19008 = 2^{6} \times 3^{3} \times 11 \]19008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 60960 |
| Euler totient φ(n) | 5760 |
| Square | 361304064 |
| Cube | 6867667648512 |
| Square root | 137.869504 (= 24√33) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.9008 × |
19008 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and eight |
| Binary (base 2) | 100101001000000 |
| Octal (base 8) | 45100 |
| Hexadecimal (base 16) | 4A40 |
| Base 3 | 222002000 |
| As time | 19008 seconds = 5 h 16 min 48 s |
Is 19008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19008 ÷ 2 = 9504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19008 ÷ 3 = 6336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19008 ÷ 4 = 4752) | 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 | Yes (19008 ÷ 6 = 3168) | 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 | Yes (19008 ÷ 8 = 2376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (19008 ÷ 9 = 2112) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (19008 ÷ 11 = 1728) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (19008 ÷ 12 = 1584) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19008 a prime number?
No. 19008 = × × 11, so it is divisible by 2.
What are the factors of 19008?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 88, 96, 99, 108, 132, 144, 176, 192, 198, 216, 264, 288, 297, 352, 396, 432, 528, 576, 594, 704, 792, 864, 1056, 1188, 1584, 1728, 2112, 2376, 3168, 4752, 6336, 9504, 19008.
What is 19008 in binary?
100101001000000 (hexadecimal 4A40, octal 45100).
What is the square root of 19008?
About 137.8695, exactly 24√33.
Is 19008 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 19008?
19008 is a Harshad number: divisible by its digit sum 18.