The number 33938
33938 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 239. Divisors (8): 1, 2, 71, 142, 239, 478, 16969, 33938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33938 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 33938 itself that is 17902, so 33938 is deficient (17902 is less than 33938). Euler's totient φ(33938) = 16660 numbers up to 33938 share no factor with it.
- 4
The digits of 33938 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33938 = 2 \times 71 \times 239 \]
33938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 16660 |
| Square | 1151787844 |
| Cube | 39089375849672 |
| Square root | 184.222691 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3938 × |
33938 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty-eight |
| Binary (base 2) | 1000010010010010 |
| Octal (base 8) | 102222 |
| Hexadecimal (base 16) | 8492 |
| Base 3 | 1201112222 |
| As time | 33938 seconds = 9 h 25 min 38 s |
Is 33938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33938 ÷ 2 = 16969) | 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 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 2) | 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 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33938 a prime number?
No. 33938 = 2 × 71 × 239, so it is divisible by 2.
What are the factors of 33938?
1, 2, 71, 142, 239, 478, 16969, 33938.
What is 33938 in binary?
1000010010010010 (hexadecimal 8492, octal 102222).
What is the square root of 33938?
About 184.2227.
Is 33938 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33938?
It is a composite number with 8 divisors.