The number 33027
33027 is a composite number with 8 divisors. Its prime factorisation is 3 × 101 × 109. Divisors (8): 1, 3, 101, 109, 303, 327, 11009, 33027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33027 is composite. Its prime factorisation is
- 3
The divisors add up to 44880; without 33027 itself that is 11853, so 33027 is deficient (11853 is less than 33027). Euler's totient φ(33027) = 21600 numbers up to 33027 share no factor with it.
- 4
The digits of 33027 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33027 = 3 \times 101 \times 109 \]
33027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44880 |
| Euler totient φ(n) | 21600 |
| Square | 1090782729 |
| Cube | 36025281190683 |
| Square root | 181.733321 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3027 × |
33027 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-seven |
| Binary (base 2) | 1000000100000011 |
| Octal (base 8) | 100403 |
| Hexadecimal (base 16) | 8103 |
| Base 3 | 1200022020 |
| As time | 33027 seconds = 9 h 10 min 27 s |
Is 33027 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33027 ÷ 3 = 11009) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33027 a prime number?
No. 33027 = 3 × 101 × 109, so it is divisible by 3.
What are the factors of 33027?
1, 3, 101, 109, 303, 327, 11009, 33027.
What is 33027 in binary?
1000000100000011 (hexadecimal 8103, octal 100403).
What is the square root of 33027?
About 181.7333.
Is 33027 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33027?
It is a composite number with 8 divisors.