The number 539
539 is a composite number with 6 divisors. Its prime factorisation is × 11. Divisors (6): 1, 7, 11, 49, 77, 539.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
539 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
539 is composite. Its prime factorisation is
- 3
The divisors add up to 684; without 539 itself that is 145, so 539 is deficient (145 is less than 539). Euler's totient φ(539) = 420 numbers up to 539 share no factor with it.
- 4
The digits of 539 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 539 = 7^{2} \times 11 \]539 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 684 |
| Euler totient φ(n) | 420 |
| Square | 290521 |
| Cube | 156590819 |
| Square root | 23.216374 (= 7√11) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 5.39 × |
539 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty-nine |
| Roman numerals | DXXXIX |
| Binary (base 2) | 1000011011 |
| Octal (base 8) | 1033 |
| Hexadecimal (base 16) | 21B |
| Base 3 | 201222 |
| As time | 539 seconds = 8 min 59 s |
Is 539 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (539 ÷ 7 = 77) | 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 3) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (539 ÷ 11 = 49) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 539 a prime number?
No. 539 = × 11, so it is divisible by 7.
What are the factors of 539?
1, 7, 11, 49, 77, 539.
What is 539 in binary?
1000011011 (hexadecimal 21B, octal 1033).
What is the square root of 539?
About 23.2164, exactly 7√11.
What is 539 in Roman numerals?
DXXXIX.
Is 539 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 539?
It is a composite number with 6 divisors.