The number 33671
33671 is a composite number with 4 divisors. Its prime factorisation is 11 × 3061. Divisors (4): 1, 11, 3061, 33671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33671: a semiprime: 11 × 3061, the product of two primes.
- 2
33671 is composite. Its prime factorisation is
- 3
The divisors add up to 36744; without 33671 itself that is 3073, so 33671 is deficient (3073 is less than 33671). Euler's totient φ(33671) = 30600 numbers up to 33671 share no factor with it.
- 4
The digits of 33671 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33671 = 11 \times 3061 \]
33671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36744 |
| Euler totient φ(n) | 30600 |
| Square | 1133736241 |
| Cube | 38174032970711 |
| Square root | 183.496594 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3671 × |
33671 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and seventy-one |
| Binary (base 2) | 1000001110000111 |
| Octal (base 8) | 101607 |
| Hexadecimal (base 16) | 8387 |
| Base 3 | 1201012002 |
| As time | 33671 seconds = 9 h 21 min 11 s |
Is 33671 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (33671 ÷ 11 = 3061) | 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 33671 a prime number?
No. 33671 = 11 × 3061, so it is divisible by 11.
What are the factors of 33671?
1, 11, 3061, 33671.
What is 33671 in binary?
1000001110000111 (hexadecimal 8387, octal 101607).
What is the square root of 33671?
About 183.4966.
Is 33671 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33671?
33671 is a semiprime: 11 × 3061, the product of two primes.