The number 33687
33687 is a composite number with 12 divisors. Its prime factorisation is × 19 × 197. Divisors (12): 1, 3, 9, 19, 57, 171, 197, 591, 1773, 3743, 11229, 33687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33687: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33687 is composite. Its prime factorisation is
- 3
The divisors add up to 51480; without 33687 itself that is 17793, so 33687 is deficient (17793 is less than 33687). Euler's totient φ(33687) = 21168 numbers up to 33687 share no factor with it.
- 4
The digits of 33687 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33687 = 3^{2} \times 19 \times 197 \]33687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51480 |
| Euler totient φ(n) | 21168 |
| Square | 1134813969 |
| Cube | 38228478173703 |
| Square root | 183.540186 (= 3√3743) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3687 × |
33687 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and eighty-seven |
| Binary (base 2) | 1000001110010111 |
| Octal (base 8) | 101627 |
| Hexadecimal (base 16) | 8397 |
| Base 3 | 1201012200 |
| As time | 33687 seconds = 9 h 21 min 27 s |
Is 33687 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 (33687 ÷ 3 = 11229) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33687 ÷ 9 = 3743) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33687 a prime number?
No. 33687 = × 19 × 197, so it is divisible by 3.
What are the factors of 33687?
1, 3, 9, 19, 57, 171, 197, 591, 1773, 3743, 11229, 33687.
What is 33687 in binary?
1000001110010111 (hexadecimal 8397, octal 101627).
What is the square root of 33687?
About 183.5402, exactly 3√3743.
Is 33687 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33687?
33687 is a happy number: repeatedly adding the squares of its digits reaches 1.