The number 33738
33738 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5623. Divisors (8): 1, 2, 3, 6, 5623, 11246, 16869, 33738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33738 is composite. Its prime factorisation is
- 3
The divisors add up to 67488; without 33738 itself that is 33750, so 33738 is abundant (33750 is more than 33738). Euler's totient φ(33738) = 11244 numbers up to 33738 share no factor with it.
- 4
The digits of 33738 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33738 = 2 \times 3 \times 5623 \]
33738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67488 |
| Euler totient φ(n) | 11244 |
| Square | 1138252644 |
| Cube | 38402367703272 |
| Square root | 183.679068 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3738 × |
33738 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and thirty-eight |
| Binary (base 2) | 1000001111001010 |
| Octal (base 8) | 101712 |
| Hexadecimal (base 16) | 83CA |
| Base 3 | 1201021120 |
| As time | 33738 seconds = 9 h 22 min 18 s |
Is 33738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33738 ÷ 2 = 16869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33738 ÷ 3 = 11246) | 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 | Yes (33738 ÷ 6 = 5623) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33738 a prime number?
No. 33738 = 2 × 3 × 5623, so it is divisible by 2.
What are the factors of 33738?
1, 2, 3, 6, 5623, 11246, 16869, 33738.
What is 33738 in binary?
1000001111001010 (hexadecimal 83CA, octal 101712).
What is the square root of 33738?
About 183.6791.
Is 33738 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33738?
It is a composite number with 8 divisors.