The number 527
527 is a composite number with 4 divisors. Its prime factorisation is 17 × 31. Divisors (4): 1, 17, 31, 527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 527: a semiprime: 17 × 31, the product of two primes.
- 2
527 is composite. Its prime factorisation is
- 3
The divisors add up to 576; without 527 itself that is 49, so 527 is deficient (49 is less than 527). Euler's totient φ(527) = 480 numbers up to 527 share no factor with it.
- 4
The digits of 527 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 527 = 17 \times 31 \]
527 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 576 |
| Euler totient φ(n) | 480 |
| Square | 277729 |
| Cube | 146363183 |
| Square root | 22.956481 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 5.27 × |
527 in other forms
| Form | Value |
|---|---|
| In words | five hundred and twenty-seven |
| Roman numerals | DXXVII |
| Binary (base 2) | 1000001111 |
| Octal (base 8) | 1017 |
| Hexadecimal (base 16) | 20F |
| Base 3 | 201112 |
| As time | 527 seconds = 8 min 47 s |
Is 527 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 2) | 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 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 527 a prime number?
No. 527 = 17 × 31, so it is divisible by 17.
What are the factors of 527?
1, 17, 31, 527.
What is 527 in binary?
1000001111 (hexadecimal 20F, octal 1017).
What is the square root of 527?
About 22.9565.
What is 527 in Roman numerals?
DXXVII.
Is 527 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 527?
527 is a semiprime: 17 × 31, the product of two primes.