The number 33082
33082 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 139. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 139, 238, 278, 973, 1946, 2363, 4726, 16541, 33082.
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How to work it out
- 1
What is special about 33082: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33082 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 33082 itself that is 27398, so 33082 is deficient (27398 is less than 33082). Euler's totient φ(33082) = 13248 numbers up to 33082 share no factor with it.
- 4
The digits of 33082 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33082 = 2 \times 7 \times 17 \times 139 \]
33082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 13248 |
| Square | 1094418724 |
| Cube | 36205560227368 |
| Square root | 181.884579 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3082 × |
33082 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighty-two |
| Binary (base 2) | 1000000100111010 |
| Octal (base 8) | 100472 |
| Hexadecimal (base 16) | 813A |
| Base 3 | 1200101021 |
| As time | 33082 seconds = 9 h 11 min 22 s |
Is 33082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33082 ÷ 2 = 16541) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33082 ÷ 7 = 4726) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33082 a prime number?
No. 33082 = 2 × 7 × 17 × 139, so it is divisible by 2.
What are the factors of 33082?
1, 2, 7, 14, 17, 34, 119, 139, 238, 278, 973, 1946, 2363, 4726, 16541, 33082.
What is 33082 in binary?
1000000100111010 (hexadecimal 813A, octal 100472).
What is the square root of 33082?
About 181.8846.
Is 33082 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33082?
33082 is a happy number: repeatedly adding the squares of its digits reaches 1.