The number 33071
33071 is a twin prime (33071 and 33073 are both prime) and the 3545th prime number. Its only divisors are 1 and 33071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33071: a twin prime (33071 and 33073 are both prime); the 3545th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33071 is prime, so its only factors are 1 and 33071. It is the 3545th prime; the next prime is 33073 and the one before is 33053.
- 3
The divisors add up to 33072; without 33071 itself that is 1, so 33071 is deficient (1 is less than 33071). Euler's totient φ(33071) = 33070 numbers up to 33071 share no factor with it.
- 4
The digits of 33071 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
33071 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33072 |
| Euler totient φ(n) | 33070 |
| Square | 1093691041 |
| Cube | 36169456416911 |
| Square root | 181.854337 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3071 × |
33071 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventy-one |
| Binary (base 2) | 1000000100101111 |
| Octal (base 8) | 100457 |
| Hexadecimal (base 16) | 812F |
| Base 3 | 1200100212 |
| As time | 33071 seconds = 9 h 11 min 11 s |
Is 33071 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33071 a prime number?
Yes. 33071 is divisible only by 1 and itself.
What are the factors of 33071?
1, 33071.
What is 33071 in binary?
1000000100101111 (hexadecimal 812F, octal 100457).
What is the square root of 33071?
About 181.8543.
Is 33071 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33071?
33071 is a twin prime (33071 and 33073 are both prime); the 3545th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.