The number 33162
33162 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5527. Divisors (8): 1, 2, 3, 6, 5527, 11054, 16581, 33162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33162 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33162 is composite. Its prime factorisation is
- 3
The divisors add up to 66336; without 33162 itself that is 33174, so 33162 is abundant (33174 is more than 33162). Euler's totient φ(33162) = 11052 numbers up to 33162 share no factor with it.
- 4
The digits of 33162 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33162 = 2 \times 3 \times 5527 \]
33162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66336 |
| Euler totient φ(n) | 11052 |
| Square | 1099718244 |
| Cube | 36468856407528 |
| Square root | 182.104366 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3162 × |
33162 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and sixty-two |
| Binary (base 2) | 1000000110001010 |
| Octal (base 8) | 100612 |
| Hexadecimal (base 16) | 818A |
| Base 3 | 1200111020 |
| As time | 33162 seconds = 9 h 12 min 42 s |
Is 33162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33162 ÷ 2 = 16581) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33162 ÷ 3 = 11054) | 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 | Yes (33162 ÷ 6 = 5527) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33162 a prime number?
No. 33162 = 2 × 3 × 5527, so it is divisible by 2.
What are the factors of 33162?
1, 2, 3, 6, 5527, 11054, 16581, 33162.
What is 33162 in binary?
1000000110001010 (hexadecimal 818A, octal 100612).
What is the square root of 33162?
About 182.1044.
Is 33162 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33162?
It is a composite number with 8 divisors.