The number 33327
33327 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 529, 1449, 1587, 3703, 4761 … 33327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33327 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33327 is composite. Its prime factorisation is
- 3
The divisors add up to 57512; without 33327 itself that is 24185, so 33327 is deficient (24185 is less than 33327). Euler's totient φ(33327) = 18216 numbers up to 33327 share no factor with it.
- 4
The digits of 33327 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33327 = 3^{2} \times 7 \times 23^{2} \]33327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 57512 |
| Euler totient φ(n) | 18216 |
| Square | 1110688929 |
| Cube | 37015929936783 |
| Square root | 182.556840 (= 69√7) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.3327 × |
33327 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty-seven |
| Binary (base 2) | 1000001000101111 |
| Octal (base 8) | 101057 |
| Hexadecimal (base 16) | 822F |
| Base 3 | 1200201100 |
| As time | 33327 seconds = 9 h 15 min 27 s |
Is 33327 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 (33327 ÷ 3 = 11109) | 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 | Yes (33327 ÷ 7 = 4761) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33327 ÷ 9 = 3703) | 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 8) | 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 33327 a prime number?
No. 33327 = × 7 × , so it is divisible by 3.
What are the factors of 33327?
1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 529, 1449, 1587, 3703, 4761, 11109, 33327.
What is 33327 in binary?
1000001000101111 (hexadecimal 822F, octal 101057).
What is the square root of 33327?
About 182.5568, exactly 69√7.
Is 33327 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33327?
It is a composite number with 18 divisors.