The number 530
530 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 53. Divisors (8): 1, 2, 5, 10, 53, 106, 265, 530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
530 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
530 is composite. Its prime factorisation is
- 3
The divisors add up to 972; without 530 itself that is 442, so 530 is deficient (442 is less than 530). Euler's totient φ(530) = 208 numbers up to 530 share no factor with it.
- 4
The digits of 530 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 530 = 2 \times 5 \times 53 \]
530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 972 |
| Euler totient φ(n) | 208 |
| Square | 280900 |
| Cube | 148877000 |
| Square root | 23.021729 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 123 |
| Scientific notation | 5.3 × |
530 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty |
| Roman numerals | DXXX |
| Binary (base 2) | 1000010010 |
| Octal (base 8) | 1022 |
| Hexadecimal (base 16) | 212 |
| Base 3 | 201122 |
| As time | 530 seconds = 8 min 50 s |
Is 530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (530 ÷ 2 = 265) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (530 ÷ 5 = 106) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (530 ÷ 10 = 53) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 530 a prime number?
No. 530 = 2 × 5 × 53, so it is divisible by 2.
What are the factors of 530?
1, 2, 5, 10, 53, 106, 265, 530.
What is 530 in binary?
1000010010 (hexadecimal 212, octal 1022).
What is the square root of 530?
About 23.0217.
What is 530 in Roman numerals?
DXXX.
Is 530 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 530?
It is a composite number with 8 divisors.