The number 33016
33016 is a composite number with 8 divisors. Its prime factorisation is × 4127. Divisors (8): 1, 2, 4, 8, 4127, 8254, 16508, 33016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33016 is composite. Its prime factorisation is
- 3
The divisors add up to 61920; without 33016 itself that is 28904, so 33016 is deficient (28904 is less than 33016). Euler's totient φ(33016) = 16504 numbers up to 33016 share no factor with it.
- 4
The digits of 33016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33016 = 2^{3} \times 4127 \]33016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61920 |
| Euler totient φ(n) | 16504 |
| Square | 1090056256 |
| Cube | 35989297348096 |
| Square root | 181.703054 (= 2√8254) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.3016 × |
33016 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixteen |
| Binary (base 2) | 1000000011111000 |
| Octal (base 8) | 100370 |
| Hexadecimal (base 16) | 80F8 |
| Base 3 | 1200021211 |
| As time | 33016 seconds = 9 h 10 min 16 s |
Is 33016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33016 ÷ 2 = 16508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33016 ÷ 4 = 8254) | 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 4) | 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 | Yes (33016 ÷ 8 = 4127) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33016 a prime number?
No. 33016 = × 4127, so it is divisible by 2.
What are the factors of 33016?
1, 2, 4, 8, 4127, 8254, 16508, 33016.
What is 33016 in binary?
1000000011111000 (hexadecimal 80F8, octal 100370).
What is the square root of 33016?
About 181.7031, exactly 2√8254.
Is 33016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33016?
It is a composite number with 8 divisors.