The number 55820
55820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2791. Divisors (12): 1, 2, 4, 5, 10, 20, 2791, 5582, 11164, 13955, 27910, 55820.
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How to work it out
- 1
What is special about 55820: a Harshad number: divisible by its digit sum 20.
- 2
55820 is composite. Its prime factorisation is
- 3
The divisors add up to 117264; without 55820 itself that is 61444, so 55820 is abundant (61444 is more than 55820). Euler's totient φ(55820) = 22320 numbers up to 55820 share no factor with it.
- 4
The digits of 55820 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55820 = 2^{2} \times 5 \times 2791 \]55820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 117264 |
| Euler totient φ(n) | 22320 |
| Square | 3115872400 |
| Cube | 173927997368000 |
| Square root | 236.262566 (= 2√13955) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.582 × |
55820 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty |
| Binary (base 2) | 1101101000001100 |
| Octal (base 8) | 155014 |
| Hexadecimal (base 16) | DA0C |
| Base 3 | 2211120102 |
| As time | 55820 seconds = 15 h 30 min 20 s |
Is 55820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55820 ÷ 2 = 27910) | 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 (55820 ÷ 4 = 13955) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55820 ÷ 5 = 11164) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55820 ÷ 10 = 5582) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 55820 a prime number?
No. 55820 = × 5 × 2791, so it is divisible by 2.
What are the factors of 55820?
1, 2, 4, 5, 10, 20, 2791, 5582, 11164, 13955, 27910, 55820.
What is 55820 in binary?
1101101000001100 (hexadecimal DA0C, octal 155014).
What is the square root of 55820?
About 236.2626, exactly 2√13955.
Is 55820 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55820?
55820 is a Harshad number: divisible by its digit sum 20.