The number 33339
33339 is a composite number with 4 divisors. Its prime factorisation is 3 × 11113. Divisors (4): 1, 3, 11113, 33339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33339: a semiprime: 3 × 11113, the product of two primes.
- 2
33339 is composite. Its prime factorisation is
- 3
The divisors add up to 44456; without 33339 itself that is 11117, so 33339 is deficient (11117 is less than 33339). Euler's totient φ(33339) = 22224 numbers up to 33339 share no factor with it.
- 4
The digits of 33339 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33339 = 3 \times 11113 \]
33339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44456 |
| Euler totient φ(n) | 22224 |
| Square | 1111488921 |
| Cube | 37055929137219 |
| Square root | 182.589704 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3339 × |
33339 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and thirty-nine |
| Binary (base 2) | 1000001000111011 |
| Octal (base 8) | 101073 |
| Hexadecimal (base 16) | 823B |
| Base 3 | 1200201210 |
| As time | 33339 seconds = 9 h 15 min 39 s |
Is 33339 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 (33339 ÷ 3 = 11113) | 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 5) | 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 3) | 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 9) | 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 33339 a prime number?
No. 33339 = 3 × 11113, so it is divisible by 3.
What are the factors of 33339?
1, 3, 11113, 33339.
What is 33339 in binary?
1000001000111011 (hexadecimal 823B, octal 101073).
What is the square root of 33339?
About 182.5897.
Is 33339 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33339?
33339 is a semiprime: 3 × 11113, the product of two primes.