The number 32820
32820 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 547. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 547, 1094, 1641, 2188 … 32820.
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How to work it out
- 1
What is special about 32820: a Harshad number: divisible by its digit sum 15.
- 2
32820 is composite. Its prime factorisation is
- 3
The divisors add up to 92064; without 32820 itself that is 59244, so 32820 is abundant (59244 is more than 32820). Euler's totient φ(32820) = 8736 numbers up to 32820 share no factor with it.
- 4
The digits of 32820 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32820 = 2^{2} \times 3 \times 5 \times 547 \]32820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92064 |
| Euler totient φ(n) | 8736 |
| Square | 1077152400 |
| Cube | 35352141768000 |
| Square root | 181.162910 (= 2√8205) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.282 × |
32820 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and twenty |
| Binary (base 2) | 1000000000110100 |
| Octal (base 8) | 100064 |
| Hexadecimal (base 16) | 8034 |
| Base 3 | 1200000120 |
| As time | 32820 seconds = 9 h 7 min 0 s |
Is 32820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32820 ÷ 2 = 16410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32820 ÷ 3 = 10940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32820 ÷ 4 = 8205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32820 ÷ 5 = 6564) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32820 ÷ 6 = 5470) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32820 ÷ 10 = 3282) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32820 ÷ 12 = 2735) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32820 a prime number?
No. 32820 = × 3 × 5 × 547, so it is divisible by 2.
What are the factors of 32820?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 547, 1094, 1641, 2188, 2735, 3282, 5470, 6564, 8205, 10940, 16410, 32820.
What is 32820 in binary?
1000000000110100 (hexadecimal 8034, octal 100064).
What is the square root of 32820?
About 181.1629, exactly 2√8205.
Is 32820 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32820?
32820 is a Harshad number: divisible by its digit sum 15.