The number 27130
27130 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 2713. Divisors (8): 1, 2, 5, 10, 2713, 5426, 13565, 27130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27130 is composite. Its prime factorisation is
- 3
The divisors add up to 48852; without 27130 itself that is 21722, so 27130 is deficient (21722 is less than 27130). Euler's totient φ(27130) = 10848 numbers up to 27130 share no factor with it.
- 4
The digits of 27130 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27130 = 2 \times 5 \times 2713 \]
27130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48852 |
| Euler totient φ(n) | 10848 |
| Square | 736036900 |
| Cube | 19968681097000 |
| Square root | 164.711870 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.713 × |
27130 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty |
| Binary (base 2) | 110100111111010 |
| Octal (base 8) | 64772 |
| Hexadecimal (base 16) | 69FA |
| Base 3 | 1101012211 |
| As time | 27130 seconds = 7 h 32 min 10 s |
Is 27130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27130 ÷ 2 = 13565) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27130 ÷ 5 = 5426) | 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 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27130 ÷ 10 = 2713) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27130 a prime number?
No. 27130 = 2 × 5 × 2713, so it is divisible by 2.
What are the factors of 27130?
1, 2, 5, 10, 2713, 5426, 13565, 27130.
What is 27130 in binary?
110100111111010 (hexadecimal 69FA, octal 64772).
What is the square root of 27130?
About 164.7119.
Is 27130 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27130?
It is a composite number with 8 divisors.