The number 33741
33741 is a composite number with 12 divisors. Its prime factorisation is × 23 × 163. Divisors (12): 1, 3, 9, 23, 69, 163, 207, 489, 1467, 3749, 11247, 33741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33741 is composite. Its prime factorisation is
- 3
The divisors add up to 51168; without 33741 itself that is 17427, so 33741 is deficient (17427 is less than 33741). Euler's totient φ(33741) = 21384 numbers up to 33741 share no factor with it.
- 4
The digits of 33741 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33741 = 3^{2} \times 23 \times 163 \]33741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51168 |
| Euler totient φ(n) | 21384 |
| Square | 1138455081 |
| Cube | 38412612888021 |
| Square root | 183.687234 (= 3√3749) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3741 × |
33741 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty-one |
| Binary (base 2) | 1000001111001101 |
| Octal (base 8) | 101715 |
| Hexadecimal (base 16) | 83CD |
| Base 3 | 1201021200 |
| As time | 33741 seconds = 9 h 22 min 21 s |
Is 33741 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 (33741 ÷ 3 = 11247) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33741 ÷ 9 = 3749) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33741 a prime number?
No. 33741 = × 23 × 163, so it is divisible by 3.
What are the factors of 33741?
1, 3, 9, 23, 69, 163, 207, 489, 1467, 3749, 11247, 33741.
What is 33741 in binary?
1000001111001101 (hexadecimal 83CD, octal 101715).
What is the square root of 33741?
About 183.6872, exactly 3√3749.
Is 33741 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33741?
It is a composite number with 12 divisors.