The number 33160
33160 is a composite number with 16 divisors. Its prime factorisation is × 5 × 829. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580, 33160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33160 is composite. Its prime factorisation is
- 3
The divisors add up to 74700; without 33160 itself that is 41540, so 33160 is abundant (41540 is more than 33160). Euler's totient φ(33160) = 13248 numbers up to 33160 share no factor with it.
- 4
The digits of 33160 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33160 = 2^{3} \times 5 \times 829 \]33160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74700 |
| Euler totient φ(n) | 13248 |
| Square | 1099585600 |
| Cube | 36462258496000 |
| Square root | 182.098874 (= 2√8290) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.316 × |
33160 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and sixty |
| Binary (base 2) | 1000000110001000 |
| Octal (base 8) | 100610 |
| Hexadecimal (base 16) | 8188 |
| Base 3 | 1200111011 |
| As time | 33160 seconds = 9 h 12 min 40 s |
Is 33160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33160 ÷ 2 = 16580) | 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 (33160 ÷ 4 = 8290) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33160 ÷ 5 = 6632) | 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 1) | 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 (33160 ÷ 8 = 4145) | 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 | Yes (33160 ÷ 10 = 3316) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 33160 a prime number?
No. 33160 = × 5 × 829, so it is divisible by 2.
What are the factors of 33160?
1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580, 33160.
What is 33160 in binary?
1000000110001000 (hexadecimal 8188, octal 100610).
What is the square root of 33160?
About 182.0989, exactly 2√8290.
Is 33160 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33160?
It is a composite number with 16 divisors.