The number 33971
33971 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 211. Divisors (8): 1, 7, 23, 161, 211, 1477, 4853, 33971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33971: a Harshad number: divisible by its digit sum 23.
- 2
33971 is composite. Its prime factorisation is
- 3
The divisors add up to 40704; without 33971 itself that is 6733, so 33971 is deficient (6733 is less than 33971). Euler's totient φ(33971) = 27720 numbers up to 33971 share no factor with it.
- 4
The digits of 33971 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33971 = 7 \times 23 \times 211 \]
33971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40704 |
| Euler totient φ(n) | 27720 |
| Square | 1154028841 |
| Cube | 39203513757611 |
| Square root | 184.312235 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3971 × |
33971 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-one |
| Binary (base 2) | 1000010010110011 |
| Octal (base 8) | 102263 |
| Hexadecimal (base 16) | 84B3 |
| Base 3 | 1201121012 |
| As time | 33971 seconds = 9 h 26 min 11 s |
Is 33971 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 | Yes (33971 ÷ 7 = 4853) | 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 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 3) | 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 33971 a prime number?
No. 33971 = 7 × 23 × 211, so it is divisible by 7.
What are the factors of 33971?
1, 7, 23, 161, 211, 1477, 4853, 33971.
What is 33971 in binary?
1000010010110011 (hexadecimal 84B3, octal 102263).
What is the square root of 33971?
About 184.3122.
Is 33971 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33971?
33971 is a Harshad number: divisible by its digit sum 23.