The number 27980
27980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1399. Divisors (12): 1, 2, 4, 5, 10, 20, 1399, 2798, 5596, 6995, 13990, 27980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27980 is composite. Its prime factorisation is
- 3
The divisors add up to 58800; without 27980 itself that is 30820, so 27980 is abundant (30820 is more than 27980). Euler's totient φ(27980) = 11184 numbers up to 27980 share no factor with it.
- 4
The digits of 27980 add up to 26, 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
\[ 27980 = 2^{2} \times 5 \times 1399 \]27980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58800 |
| Euler totient φ(n) | 11184 |
| Square | 782880400 |
| Cube | 21904993592000 |
| Square root | 167.272233 (= 2√6995) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.798 × |
27980 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eighty |
| Binary (base 2) | 110110101001100 |
| Octal (base 8) | 66514 |
| Hexadecimal (base 16) | 6D4C |
| Base 3 | 1102101022 |
| As time | 27980 seconds = 7 h 46 min 20 s |
Is 27980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27980 ÷ 2 = 13990) | 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 (27980 ÷ 4 = 6995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27980 ÷ 5 = 5596) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27980 ÷ 10 = 2798) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27980 a prime number?
No. 27980 = × 5 × 1399, so it is divisible by 2.
What are the factors of 27980?
1, 2, 4, 5, 10, 20, 1399, 2798, 5596, 6995, 13990, 27980.
What is 27980 in binary?
110110101001100 (hexadecimal 6D4C, octal 66514).
What is the square root of 27980?
About 167.2722, exactly 2√6995.
Is 27980 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27980?
It is a composite number with 12 divisors.