The number 33371
33371 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 151. Divisors (8): 1, 13, 17, 151, 221, 1963, 2567, 33371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33371: a Harshad number: divisible by its digit sum 17.
- 2
33371 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 33371 itself that is 4933, so 33371 is deficient (4933 is less than 33371). Euler's totient φ(33371) = 28800 numbers up to 33371 share no factor with it.
- 4
The digits of 33371 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 235 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33371 = 13 \times 17 \times 151 \]
33371 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 28800 |
| Square | 1113623641 |
| Cube | 37162734523811 |
| Square root | 182.677311 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 235 |
| Scientific notation | 3.3371 × |
33371 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy-one |
| Binary (base 2) | 1000001001011011 |
| Octal (base 8) | 101133 |
| Hexadecimal (base 16) | 825B |
| Base 3 | 1200202222 |
| As time | 33371 seconds = 9 h 16 min 11 s |
Is 33371 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 2) | 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 8) | 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 8) | 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 33371 a prime number?
No. 33371 = 13 × 17 × 151, so it is divisible by 13.
What are the factors of 33371?
1, 13, 17, 151, 221, 1963, 2567, 33371.
What is 33371 in binary?
1000001001011011 (hexadecimal 825B, octal 101133).
What is the square root of 33371?
About 182.6773.
Is 33371 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33371?
33371 is a Harshad number: divisible by its digit sum 17.