The number 18054
18054 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 59. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 59, 102, 118, 153, 177, 306, 354 … 18054.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18054: a Harshad number: divisible by its digit sum 18.
- 2
18054 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 18054 itself that is 24066, so 18054 is abundant (24066 is more than 18054). Euler's totient φ(18054) = 5568 numbers up to 18054 share no factor with it.
- 4
The digits of 18054 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 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18054 = 2 \times 3^{2} \times 17 \times 59 \]18054 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 5568 |
| Square | 325946916 |
| Cube | 5884645621464 |
| Square root | 134.365174 (= 3√2006) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8054 × |
18054 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and fifty-four |
| Binary (base 2) | 100011010000110 |
| Octal (base 8) | 43206 |
| Hexadecimal (base 16) | 4686 |
| Base 3 | 220202200 |
| As time | 18054 seconds = 5 h 0 min 54 s |
Is 18054 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18054 ÷ 2 = 9027) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18054 ÷ 3 = 6018) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (18054 ÷ 6 = 3009) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18054 ÷ 9 = 2006) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18054 a prime number?
No. 18054 = 2 × × 17 × 59, so it is divisible by 2.
What are the factors of 18054?
1, 2, 3, 6, 9, 17, 18, 34, 51, 59, 102, 118, 153, 177, 306, 354, 531, 1003, 1062, 2006, 3009, 6018, 9027, 18054.
What is 18054 in binary?
100011010000110 (hexadecimal 4686, octal 43206).
What is the square root of 18054?
About 134.3652, exactly 3√2006.
Is 18054 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18054?
18054 is a Harshad number: divisible by its digit sum 18.