The number 33020
33020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 127. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 127, 130, 254, 260, 508, 635 … 33020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33020 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 33020 itself that is 42244, so 33020 is abundant (42244 is more than 33020). Euler's totient φ(33020) = 12096 numbers up to 33020 share no factor with it.
- 4
The digits of 33020 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33020 = 2^{2} \times 5 \times 13 \times 127 \]33020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 12096 |
| Square | 1090320400 |
| Cube | 36002379608000 |
| Square root | 181.714061 (= 2√8255) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.302 × |
33020 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty |
| Binary (base 2) | 1000000011111100 |
| Octal (base 8) | 100374 |
| Hexadecimal (base 16) | 80FC |
| Base 3 | 1200021222 |
| As time | 33020 seconds = 9 h 10 min 20 s |
Is 33020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33020 ÷ 2 = 16510) | 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 (33020 ÷ 4 = 8255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33020 ÷ 5 = 6604) | 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 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 | 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 | Yes (33020 ÷ 10 = 3302) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33020 a prime number?
No. 33020 = × 5 × 13 × 127, so it is divisible by 2.
What are the factors of 33020?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 127, 130, 254, 260, 508, 635, 1270, 1651, 2540, 3302, 6604, 8255, 16510, 33020.
What is 33020 in binary?
1000000011111100 (hexadecimal 80FC, octal 100374).
What is the square root of 33020?
About 181.7141, exactly 2√8255.
Is 33020 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 33020?
It is a composite number with 24 divisors.