The number 33939
33939 is a composite number with 10 divisors. Its prime factorisation is × 419. Divisors (10): 1, 3, 9, 27, 81, 419, 1257, 3771, 11313, 33939.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33939: a Harshad number: divisible by its digit sum 27.
- 2
33939 is composite. Its prime factorisation is
- 3
The divisors add up to 50820; without 33939 itself that is 16881, so 33939 is deficient (16881 is less than 33939). Euler's totient φ(33939) = 22572 numbers up to 33939 share no factor with it.
- 4
The digits of 33939 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33939 = 3^{4} \times 419 \]33939 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 50820 |
| Euler totient φ(n) | 22572 |
| Square | 1151855721 |
| Cube | 39092831315019 |
| Square root | 184.225405 (= 9√419) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3939 × |
33939 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty-nine |
| Binary (base 2) | 1000010010010011 |
| Octal (base 8) | 102223 |
| Hexadecimal (base 16) | 8493 |
| Base 3 | 1201120000 |
| As time | 33939 seconds = 9 h 25 min 39 s |
Is 33939 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 | Yes (33939 ÷ 3 = 11313) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33939 ÷ 9 = 3771) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33939 a prime number?
No. 33939 = × 419, so it is divisible by 3.
What are the factors of 33939?
1, 3, 9, 27, 81, 419, 1257, 3771, 11313, 33939.
What is 33939 in binary?
1000010010010011 (hexadecimal 8493, octal 102223).
What is the square root of 33939?
About 184.2254, exactly 9√419.
Is 33939 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33939?
33939 is a Harshad number: divisible by its digit sum 27.