The number 5820
5820 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 97. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388 … 5820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5820: a Harshad number: divisible by its digit sum 15.
- 2
5820 is composite. Its prime factorisation is
- 3
The divisors add up to 16464; without 5820 itself that is 10644, so 5820 is abundant (10644 is more than 5820). Euler's totient φ(5820) = 1536 numbers up to 5820 share no factor with it.
- 4
The digits of 5820 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5820 = 2^{2} \times 3 \times 5 \times 97 \]5820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16464 |
| Euler totient φ(n) | 1536 |
| Square | 33872400 |
| Cube | 197137368000 |
| Square root | 76.288924 (= 2√1455) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.82 × |
5820 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and twenty |
| Binary (base 2) | 1011010111100 |
| Octal (base 8) | 13274 |
| Hexadecimal (base 16) | 16BC |
| Base 3 | 21222120 |
| As time | 5820 seconds = 1 h 37 min 0 s |
Is 5820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5820 ÷ 2 = 2910) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5820 ÷ 3 = 1940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5820 ÷ 4 = 1455) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5820 ÷ 5 = 1164) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5820 ÷ 6 = 970) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (5820 ÷ 10 = 582) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5820 ÷ 12 = 485) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5820 a prime number?
No. 5820 = × 3 × 5 × 97, so it is divisible by 2.
What are the factors of 5820?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820.
What is 5820 in binary?
1011010111100 (hexadecimal 16BC, octal 13274).
What is the square root of 5820?
About 76.2889, exactly 2√1455.
Is 5820 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5820?
5820 is a Harshad number: divisible by its digit sum 15.