The number 18096
18096 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 29. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 39, 48, 52, 58 … 18096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18096: a Harshad number: divisible by its digit sum 24.
- 2
18096 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 18096 itself that is 33984, so 18096 is abundant (33984 is more than 18096). Euler's totient φ(18096) = 5376 numbers up to 18096 share no factor with it.
- 4
The digits of 18096 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18096 = 2^{4} \times 3 \times 13 \times 29 \]18096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 5376 |
| Square | 327465216 |
| Cube | 5925810548736 |
| Square root | 134.521374 (= 4√1131) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8096 × |
18096 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and ninety-six |
| Binary (base 2) | 100011010110000 |
| Octal (base 8) | 43260 |
| Hexadecimal (base 16) | 46B0 |
| Base 3 | 220211020 |
| As time | 18096 seconds = 5 h 1 min 36 s |
Is 18096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18096 ÷ 2 = 9048) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18096 ÷ 3 = 6032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18096 ÷ 4 = 4524) | 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 | Yes (18096 ÷ 6 = 3016) | 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 (18096 ÷ 8 = 2262) | 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 6) | 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 | Yes (18096 ÷ 12 = 1508) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18096 a prime number?
No. 18096 = × 3 × 13 × 29, so it is divisible by 2.
What are the factors of 18096?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 39, 48, 52, 58, 78, 87, 104, 116, 156, 174, 208, 232, 312, 348, 377, 464, 624, 696, 754, 1131, 1392, 1508, 2262, 3016, 4524, 6032, 9048, 18096.
What is 18096 in binary?
100011010110000 (hexadecimal 46B0, octal 43260).
What is the square root of 18096?
About 134.5214, exactly 4√1131.
Is 18096 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18096?
18096 is a Harshad number: divisible by its digit sum 24.