The number 33987
33987 is a composite number with 4 divisors. Its prime factorisation is 3 × 11329. Divisors (4): 1, 3, 11329, 33987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33987: a semiprime: 3 × 11329, the product of two primes.
- 2
33987 is composite. Its prime factorisation is
- 3
The divisors add up to 45320; without 33987 itself that is 11333, so 33987 is deficient (11333 is less than 33987). Euler's totient φ(33987) = 22656 numbers up to 33987 share no factor with it.
- 4
The digits of 33987 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33987 = 3 \times 11329 \]
33987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 45320 |
| Euler totient φ(n) | 22656 |
| Square | 1155116169 |
| Cube | 39258933235803 |
| Square root | 184.355635 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3987 × |
33987 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-seven |
| Binary (base 2) | 1000010011000011 |
| Octal (base 8) | 102303 |
| Hexadecimal (base 16) | 84C3 |
| Base 3 | 1201121210 |
| As time | 33987 seconds = 9 h 26 min 27 s |
Is 33987 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 (33987 ÷ 3 = 11329) | 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 2) | 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 3) | 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 8) | 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 33987 a prime number?
No. 33987 = 3 × 11329, so it is divisible by 3.
What are the factors of 33987?
1, 3, 11329, 33987.
What is 33987 in binary?
1000010011000011 (hexadecimal 84C3, octal 102303).
What is the square root of 33987?
About 184.3556.
Is 33987 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33987?
33987 is a semiprime: 3 × 11329, the product of two primes.