The number 33986
33986 is a composite number with 4 divisors. Its prime factorisation is 2 × 16993. Divisors (4): 1, 2, 16993, 33986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33986: a semiprime: 2 × 16993, the product of two primes.
- 2
33986 is composite. Its prime factorisation is
- 3
The divisors add up to 50982; without 33986 itself that is 16996, so 33986 is deficient (16996 is less than 33986). Euler's totient φ(33986) = 16992 numbers up to 33986 share no factor with it.
- 4
The digits of 33986 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33986 = 2 \times 16993 \]
33986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50982 |
| Euler totient φ(n) | 16992 |
| Square | 1155048196 |
| Cube | 39255467989256 |
| Square root | 184.352922 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3986 × |
33986 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-six |
| Binary (base 2) | 1000010011000010 |
| Octal (base 8) | 102302 |
| Hexadecimal (base 16) | 84C2 |
| Base 3 | 1201121202 |
| As time | 33986 seconds = 9 h 26 min 26 s |
Is 33986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33986 ÷ 2 = 16993) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33986 a prime number?
No. 33986 = 2 × 16993, so it is divisible by 2.
What are the factors of 33986?
1, 2, 16993, 33986.
What is 33986 in binary?
1000010011000010 (hexadecimal 84C2, octal 102302).
What is the square root of 33986?
About 184.3529.
Is 33986 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33986?
33986 is a semiprime: 2 × 16993, the product of two primes.