The number 33271
33271 is a composite number with 8 divisors. Its prime factorisation is Ć 97. Divisors (8): 1, 7, 49, 97, 343, 679, 4753, 33271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33271 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33271 is composite. Its prime factorisation is
- 3
The divisors add up to 39200; without 33271 itself that is 5929, so 33271 is deficient (5929 is less than 33271). Euler's totient Ļ(33271) = 28224 numbers up to 33271 share no factor with it.
- 4
The digits of 33271 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33271 = 7^{3} \times 97 \]33271 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39200 |
| Euler totient Ļ(n) | 28224 |
| Square | 1106959441 |
| Cube | 36829647561511 |
| Square root | 182.403399 (= 7ā679) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3271 Ć |
33271 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and seventy-one |
| Binary (base 2) | 1000000111110111 |
| Octal (base 8) | 100767 |
| Hexadecimal (base 16) | 81F7 |
| Base 3 | 1200122021 |
| As time | 33271 seconds = 9 h 14 min 31 s |
Is 33271 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33271 Ć· 7 = 4753) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33271 a prime number?
No. 33271 = Ć 97, so it is divisible by 7.
What are the factors of 33271?
1, 7, 49, 97, 343, 679, 4753, 33271.
What is 33271 in binary?
1000000111110111 (hexadecimal 81F7, octal 100767).
What is the square root of 33271?
About 182.4034, exactly 7ā679.
Is 33271 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33271?
It is a composite number with 8 divisors.