The number 33520
33520 is a composite number with 20 divisors. Its prime factorisation is × 5 × 419. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 419, 838, 1676, 2095, 3352, 4190 … 33520.
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How to work it out
- 1
33520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33520 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 33520 itself that is 44600, so 33520 is abundant (44600 is more than 33520). Euler's totient φ(33520) = 13376 numbers up to 33520 share no factor with it.
- 4
The digits of 33520 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33520 = 2^{4} \times 5 \times 419 \]33520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 13376 |
| Square | 1123590400 |
| Cube | 37662750208000 |
| Square root | 183.084680 (= 4√2095) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.352 × |
33520 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and twenty |
| Binary (base 2) | 1000001011110000 |
| Octal (base 8) | 101360 |
| Hexadecimal (base 16) | 82F0 |
| Base 3 | 1200222111 |
| As time | 33520 seconds = 9 h 18 min 40 s |
Is 33520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33520 ÷ 2 = 16760) | 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 (33520 ÷ 4 = 8380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33520 ÷ 5 = 6704) | 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 4) | 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 (33520 ÷ 8 = 4190) | 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 (33520 ÷ 10 = 3352) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 33520 a prime number?
No. 33520 = × 5 × 419, so it is divisible by 2.
What are the factors of 33520?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 16760, 33520.
What is 33520 in binary?
1000001011110000 (hexadecimal 82F0, octal 101360).
What is the square root of 33520?
About 183.0847, exactly 4√2095.
Is 33520 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33520?
It is a composite number with 20 divisors.