The number 33018
33018 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5503. Divisors (8): 1, 2, 3, 6, 5503, 11006, 16509, 33018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33018 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33018 is composite. Its prime factorisation is
- 3
The divisors add up to 66048; without 33018 itself that is 33030, so 33018 is abundant (33030 is more than 33018). Euler's totient φ(33018) = 11004 numbers up to 33018 share no factor with it.
- 4
The digits of 33018 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33018 = 2 \times 3 \times 5503 \]
33018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66048 |
| Euler totient φ(n) | 11004 |
| Square | 1090188324 |
| Cube | 35995838081832 |
| Square root | 181.708558 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.3018 × |
33018 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighteen |
| Binary (base 2) | 1000000011111010 |
| Octal (base 8) | 100372 |
| Hexadecimal (base 16) | 80FA |
| Base 3 | 1200021220 |
| As time | 33018 seconds = 9 h 10 min 18 s |
Is 33018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33018 ÷ 2 = 16509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33018 ÷ 3 = 11006) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33018 ÷ 6 = 5503) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 33018 a prime number?
No. 33018 = 2 × 3 × 5503, so it is divisible by 2.
What are the factors of 33018?
1, 2, 3, 6, 5503, 11006, 16509, 33018.
What is 33018 in binary?
1000000011111010 (hexadecimal 80FA, octal 100372).
What is the square root of 33018?
About 181.7086.
Is 33018 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33018?
It is a composite number with 8 divisors.