The number 33338
33338 is a composite number with 8 divisors. Its prime factorisation is 2 × 79 × 211. Divisors (8): 1, 2, 79, 158, 211, 422, 16669, 33338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33338: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33338 is composite. Its prime factorisation is
- 3
The divisors add up to 50880; without 33338 itself that is 17542, so 33338 is deficient (17542 is less than 33338). Euler's totient φ(33338) = 16380 numbers up to 33338 share no factor with it.
- 4
The digits of 33338 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33338 = 2 \times 79 \times 211 \]
33338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50880 |
| Euler totient φ(n) | 16380 |
| Square | 1111422244 |
| Cube | 37052594770472 |
| Square root | 182.586966 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3338 × |
33338 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and thirty-eight |
| Binary (base 2) | 1000001000111010 |
| Octal (base 8) | 101072 |
| Hexadecimal (base 16) | 823A |
| Base 3 | 1200201202 |
| As time | 33338 seconds = 9 h 15 min 38 s |
Is 33338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33338 ÷ 2 = 16669) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33338 a prime number?
No. 33338 = 2 × 79 × 211, so it is divisible by 2.
What are the factors of 33338?
1, 2, 79, 158, 211, 422, 16669, 33338.
What is 33338 in binary?
1000001000111010 (hexadecimal 823A, octal 101072).
What is the square root of 33338?
About 182.5870.
Is 33338 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33338?
33338 is a happy number: repeatedly adding the squares of its digits reaches 1.