The number 33530
33530 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 479. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 479, 958, 2395, 3353, 4790, 6706, 16765, 33530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33530: a Harshad number: divisible by its digit sum 14.
- 2
33530 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 33530 itself that is 35590, so 33530 is abundant (35590 is more than 33530). Euler's totient φ(33530) = 11472 numbers up to 33530 share no factor with it.
- 4
The digits of 33530 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33530 = 2 \times 5 \times 7 \times 479 \]
33530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 11472 |
| Square | 1124260900 |
| Cube | 37696467977000 |
| Square root | 183.111988 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.353 × |
33530 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and thirty |
| Binary (base 2) | 1000001011111010 |
| Octal (base 8) | 101372 |
| Hexadecimal (base 16) | 82FA |
| Base 3 | 1200222212 |
| As time | 33530 seconds = 9 h 18 min 50 s |
Is 33530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33530 ÷ 2 = 16765) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33530 ÷ 5 = 6706) | 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 | Yes (33530 ÷ 7 = 4790) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33530 ÷ 10 = 3353) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33530 a prime number?
No. 33530 = 2 × 5 × 7 × 479, so it is divisible by 2.
What are the factors of 33530?
1, 2, 5, 7, 10, 14, 35, 70, 479, 958, 2395, 3353, 4790, 6706, 16765, 33530.
What is 33530 in binary?
1000001011111010 (hexadecimal 82FA, octal 101372).
What is the square root of 33530?
About 183.1120.
Is 33530 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33530?
33530 is a Harshad number: divisible by its digit sum 14.