The number 33681
33681 is a composite number with 8 divisors. Its prime factorisation is 3 × 103 × 109. Divisors (8): 1, 3, 103, 109, 309, 327, 11227, 33681.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33681 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33681 is composite. Its prime factorisation is
- 3
The divisors add up to 45760; without 33681 itself that is 12079, so 33681 is deficient (12079 is less than 33681). Euler's totient φ(33681) = 22032 numbers up to 33681 share no factor with it.
- 4
The digits of 33681 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
\[ 33681 = 3 \times 103 \times 109 \]
33681 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45760 |
| Euler totient φ(n) | 22032 |
| Square | 1134409761 |
| Cube | 38208055160241 |
| Square root | 183.523840 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3681 × |
33681 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and eighty-one |
| Binary (base 2) | 1000001110010001 |
| Octal (base 8) | 101621 |
| Hexadecimal (base 16) | 8391 |
| Base 3 | 1201012110 |
| As time | 33681 seconds = 9 h 21 min 21 s |
Is 33681 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 (33681 ÷ 3 = 11227) | 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 33681 a prime number?
No. 33681 = 3 × 103 × 109, so it is divisible by 3.
What are the factors of 33681?
1, 3, 103, 109, 309, 327, 11227, 33681.
What is 33681 in binary?
1000001110010001 (hexadecimal 8391, octal 101621).
What is the square root of 33681?
About 183.5238.
Is 33681 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33681?
It is a composite number with 8 divisors.