The number 18032
18032 is a composite number with 30 divisors. Its prime factorisation is × × 23. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 49, 56, 92, 98, 112, 161 … 18032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18032: a Harshad number: divisible by its digit sum 14.
- 2
18032 is composite. Its prime factorisation is
- 3
The divisors add up to 42408; without 18032 itself that is 24376, so 18032 is abundant (24376 is more than 18032). Euler's totient φ(18032) = 7392 numbers up to 18032 share no factor with it.
- 4
The digits of 18032 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18032 = 2^{4} \times 7^{2} \times 23 \]18032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 42408 |
| Euler totient φ(n) | 7392 |
| Square | 325153024 |
| Cube | 5863159328768 |
| Square root | 134.283283 (= 28√23) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8032 × |
18032 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and thirty-two |
| Binary (base 2) | 100011001110000 |
| Octal (base 8) | 43160 |
| Hexadecimal (base 16) | 4670 |
| Base 3 | 220201212 |
| As time | 18032 seconds = 5 h 0 min 32 s |
Is 18032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18032 ÷ 2 = 9016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18032 ÷ 4 = 4508) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18032 ÷ 7 = 2576) | 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 (18032 ÷ 8 = 2254) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18032 a prime number?
No. 18032 = × × 23, so it is divisible by 2.
What are the factors of 18032?
1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 49, 56, 92, 98, 112, 161, 184, 196, 322, 368, 392, 644, 784, 1127, 1288, 2254, 2576, 4508, 9016, 18032.
What is 18032 in binary?
100011001110000 (hexadecimal 4670, octal 43160).
What is the square root of 18032?
About 134.2833, exactly 28√23.
Is 18032 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18032?
18032 is a Harshad number: divisible by its digit sum 14.