The number 18088
18088 is a composite number with 32 divisors. Its prime factorisation is × 7 × 17 × 19. Divisors (32): 1, 2, 4, 7, 8, 14, 17, 19, 28, 34, 38, 56, 68, 76, 119, 133 … 18088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18088: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18088 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 18088 itself that is 25112, so 18088 is abundant (25112 is more than 18088). Euler's totient φ(18088) = 6912 numbers up to 18088 share no factor with it.
- 4
The digits of 18088 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18088 = 2^{3} \times 7 \times 17 \times 19 \]18088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 6912 |
| Square | 327175744 |
| Cube | 5917954857472 |
| Square root | 134.491635 (= 2√4522) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.8088 × |
18088 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and eighty-eight |
| Binary (base 2) | 100011010101000 |
| Octal (base 8) | 43250 |
| Hexadecimal (base 16) | 46A8 |
| Base 3 | 220210221 |
| As time | 18088 seconds = 5 h 1 min 28 s |
Is 18088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18088 ÷ 2 = 9044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18088 ÷ 4 = 4522) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18088 ÷ 7 = 2584) | 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 (18088 ÷ 8 = 2261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18088 a prime number?
No. 18088 = × 7 × 17 × 19, so it is divisible by 2.
What are the factors of 18088?
1, 2, 4, 7, 8, 14, 17, 19, 28, 34, 38, 56, 68, 76, 119, 133, 136, 152, 238, 266, 323, 476, 532, 646, 952, 1064, 1292, 2261, 2584, 4522, 9044, 18088.
What is 18088 in binary?
100011010101000 (hexadecimal 46A8, octal 43250).
What is the square root of 18088?
About 134.4916, exactly 2√4522.
Is 18088 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 18088?
18088 is a happy number: repeatedly adding the squares of its digits reaches 1.