The number 27430
27430 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 211. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 211, 422, 1055, 2110, 2743, 5486, 13715, 27430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27430 is composite. Its prime factorisation is
- 3
The divisors add up to 53424; without 27430 itself that is 25994, so 27430 is deficient (25994 is less than 27430). Euler's totient φ(27430) = 10080 numbers up to 27430 share no factor with it.
- 4
The digits of 27430 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27430 = 2 \times 5 \times 13 \times 211 \]
27430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53424 |
| Euler totient φ(n) | 10080 |
| Square | 752404900 |
| Cube | 20638466407000 |
| Square root | 165.620047 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.743 × |
27430 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and thirty |
| Binary (base 2) | 110101100100110 |
| Octal (base 8) | 65446 |
| Hexadecimal (base 16) | 6B26 |
| Base 3 | 1101121221 |
| As time | 27430 seconds = 7 h 37 min 10 s |
Is 27430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27430 ÷ 2 = 13715) | 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 (27430 ÷ 5 = 5486) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27430 ÷ 10 = 2743) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27430 a prime number?
No. 27430 = 2 × 5 × 13 × 211, so it is divisible by 2.
What are the factors of 27430?
1, 2, 5, 10, 13, 26, 65, 130, 211, 422, 1055, 2110, 2743, 5486, 13715, 27430.
What is 27430 in binary?
110101100100110 (hexadecimal 6B26, octal 65446).
What is the square root of 27430?
About 165.6200.
Is 27430 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27430?
It is a composite number with 16 divisors.