The number 27800
27800 is a composite number with 24 divisors. Its prime factorisation is × × 139. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 556, 695 … 27800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27800 is composite. Its prime factorisation is
- 3
The divisors add up to 65100; without 27800 itself that is 37300, so 27800 is abundant (37300 is more than 27800). Euler's totient φ(27800) = 11040 numbers up to 27800 share no factor with it.
- 4
The digits of 27800 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27800 = 2^{3} \times 5^{2} \times 139 \]27800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65100 |
| Euler totient φ(n) | 11040 |
| Square | 772840000 |
| Cube | 21484952000000 |
| Square root | 166.733320 (= 10√278) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.78 × |
27800 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred |
| Binary (base 2) | 110110010011000 |
| Octal (base 8) | 66230 |
| Hexadecimal (base 16) | 6C98 |
| Base 3 | 1102010122 |
| As time | 27800 seconds = 7 h 43 min 20 s |
Is 27800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27800 ÷ 2 = 13900) | 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 (27800 ÷ 4 = 6950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27800 ÷ 5 = 5560) | 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 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 | Yes (27800 ÷ 8 = 3475) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27800 ÷ 10 = 2780) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 27800 a prime number?
No. 27800 = × × 139, so it is divisible by 2.
What are the factors of 27800?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 556, 695, 1112, 1390, 2780, 3475, 5560, 6950, 13900, 27800.
What is 27800 in binary?
110110010011000 (hexadecimal 6C98, octal 66230).
What is the square root of 27800?
About 166.7333, exactly 10√278.
Is 27800 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27800?
It is a composite number with 24 divisors.