The number 33164
33164 is a composite number with 6 divisors. Its prime factorisation is × 8291. Divisors (6): 1, 2, 4, 8291, 16582, 33164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33164 is composite. Its prime factorisation is
- 3
The divisors add up to 58044; without 33164 itself that is 24880, so 33164 is deficient (24880 is less than 33164). Euler's totient φ(33164) = 16580 numbers up to 33164 share no factor with it.
- 4
The digits of 33164 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33164 = 2^{2} \times 8291 \]33164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58044 |
| Euler totient φ(n) | 16580 |
| Square | 1099850896 |
| Cube | 36475455114944 |
| Square root | 182.109857 (= 2√8291) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3164 × |
33164 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and sixty-four |
| Binary (base 2) | 1000000110001100 |
| Octal (base 8) | 100614 |
| Hexadecimal (base 16) | 818C |
| Base 3 | 1200111022 |
| As time | 33164 seconds = 9 h 12 min 44 s |
Is 33164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33164 ÷ 2 = 16582) | 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 | Yes (33164 ÷ 4 = 8291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33164 a prime number?
No. 33164 = × 8291, so it is divisible by 2.
What are the factors of 33164?
1, 2, 4, 8291, 16582, 33164.
What is 33164 in binary?
1000000110001100 (hexadecimal 818C, octal 100614).
What is the square root of 33164?
About 182.1099, exactly 2√8291.
Is 33164 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33164?
It is a composite number with 6 divisors.