The number 33382
33382 is a composite number with 4 divisors. Its prime factorisation is 2 × 16691. Divisors (4): 1, 2, 16691, 33382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33382: a semiprime: 2 × 16691, the product of two primes.
- 2
33382 is composite. Its prime factorisation is
- 3
The divisors add up to 50076; without 33382 itself that is 16694, so 33382 is deficient (16694 is less than 33382). Euler's totient φ(33382) = 16690 numbers up to 33382 share no factor with it.
- 4
The digits of 33382 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33382 = 2 \times 16691 \]
33382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50076 |
| Euler totient φ(n) | 16690 |
| Square | 1114357924 |
| Cube | 37199496218968 |
| Square root | 182.707416 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3382 × |
33382 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty-two |
| Binary (base 2) | 1000001001100110 |
| Octal (base 8) | 101146 |
| Hexadecimal (base 16) | 8266 |
| Base 3 | 1200210101 |
| As time | 33382 seconds = 9 h 16 min 22 s |
Is 33382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33382 ÷ 2 = 16691) | 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 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 33382 a prime number?
No. 33382 = 2 × 16691, so it is divisible by 2.
What are the factors of 33382?
1, 2, 16691, 33382.
What is 33382 in binary?
1000001001100110 (hexadecimal 8266, octal 101146).
What is the square root of 33382?
About 182.7074.
Is 33382 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33382?
33382 is a semiprime: 2 × 16691, the product of two primes.