The number 33087
33087 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 269. Divisors (8): 1, 3, 41, 123, 269, 807, 11029, 33087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33087 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33087 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 33087 itself that is 12273, so 33087 is deficient (12273 is less than 33087). Euler's totient φ(33087) = 21440 numbers up to 33087 share no factor with it.
- 4
The digits of 33087 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33087 = 3 \times 41 \times 269 \]
33087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 21440 |
| Square | 1094749569 |
| Cube | 36221978989503 |
| Square root | 181.898323 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3087 × |
33087 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighty-seven |
| Binary (base 2) | 1000000100111111 |
| Octal (base 8) | 100477 |
| Hexadecimal (base 16) | 813F |
| Base 3 | 1200101110 |
| As time | 33087 seconds = 9 h 11 min 27 s |
Is 33087 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 (33087 ÷ 3 = 11029) | 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 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 7) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33087 a prime number?
No. 33087 = 3 × 41 × 269, so it is divisible by 3.
What are the factors of 33087?
1, 3, 41, 123, 269, 807, 11029, 33087.
What is 33087 in binary?
1000000100111111 (hexadecimal 813F, octal 100477).
What is the square root of 33087?
About 181.8983.
Is 33087 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33087?
It is a composite number with 8 divisors.