The number 27820
27820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 107. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 107, 130, 214, 260, 428, 535 … 27820.
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How to work it out
- 1
27820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27820 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 27820 itself that is 35684, so 27820 is abundant (35684 is more than 27820). Euler's totient φ(27820) = 10176 numbers up to 27820 share no factor with it.
- 4
The digits of 27820 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27820 = 2^{2} \times 5 \times 13 \times 107 \]27820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 10176 |
| Square | 773952400 |
| Cube | 21531355768000 |
| Square root | 166.793285 (= 2√6955) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.782 × |
27820 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and twenty |
| Binary (base 2) | 110110010101100 |
| Octal (base 8) | 66254 |
| Hexadecimal (base 16) | 6CAC |
| Base 3 | 1102011101 |
| As time | 27820 seconds = 7 h 43 min 40 s |
Is 27820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27820 ÷ 2 = 13910) | 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 (27820 ÷ 4 = 6955) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27820 ÷ 5 = 5564) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27820 ÷ 10 = 2782) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27820 a prime number?
No. 27820 = × 5 × 13 × 107, so it is divisible by 2.
What are the factors of 27820?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 107, 130, 214, 260, 428, 535, 1070, 1391, 2140, 2782, 5564, 6955, 13910, 27820.
What is 27820 in binary?
110110010101100 (hexadecimal 6CAC, octal 66254).
What is the square root of 27820?
About 166.7933, exactly 2√6955.
Is 27820 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27820?
It is a composite number with 24 divisors.