The number 19104
19104 is a composite number with 24 divisors. Its prime factorisation is × 3 × 199. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 199, 398, 597, 796 … 19104.
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How to work it out
- 1
19104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19104 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 19104 itself that is 31296, so 19104 is abundant (31296 is more than 19104). Euler's totient φ(19104) = 6336 numbers up to 19104 share no factor with it.
- 4
The digits of 19104 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19104 = 2^{5} \times 3 \times 199 \]19104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 6336 |
| Square | 364962816 |
| Cube | 6972249636864 |
| Square root | 138.217220 (= 4√1194) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 30 |
| Scientific notation | 1.9104 × |
19104 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand one hundred and four |
| Binary (base 2) | 100101010100000 |
| Octal (base 8) | 45240 |
| Hexadecimal (base 16) | 4AA0 |
| Base 3 | 222012120 |
| As time | 19104 seconds = 5 h 18 min 24 s |
Is 19104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19104 ÷ 2 = 9552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19104 ÷ 3 = 6368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19104 ÷ 4 = 4776) | 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 | Yes (19104 ÷ 6 = 3184) | 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 | Yes (19104 ÷ 8 = 2388) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (19104 ÷ 12 = 1592) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19104 a prime number?
No. 19104 = × 3 × 199, so it is divisible by 2.
What are the factors of 19104?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 6368, 9552, 19104.
What is 19104 in binary?
100101010100000 (hexadecimal 4AA0, octal 45240).
What is the square root of 19104?
About 138.2172, exactly 4√1194.
Is 19104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 19104?
It is a composite number with 24 divisors.