The number 524
524 is a composite number with 6 divisors. Its prime factorisation is × 131. Divisors (6): 1, 2, 4, 131, 262, 524.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
524 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
524 is composite. Its prime factorisation is
- 3
The divisors add up to 924; without 524 itself that is 400, so 524 is deficient (400 is less than 524). Euler's totient φ(524) = 260 numbers up to 524 share no factor with it.
- 4
The digits of 524 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 524 = 2^{2} \times 131 \]524 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 924 |
| Euler totient φ(n) | 260 |
| Square | 274576 |
| Cube | 143877824 |
| Square root | 22.891046 (= 2√131) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.24 × |
524 in other forms
| Form | Value |
|---|---|
| In words | five hundred and twenty-four |
| Roman numerals | DXXIV |
| Binary (base 2) | 1000001100 |
| Octal (base 8) | 1014 |
| Hexadecimal (base 16) | 20C |
| Base 3 | 201102 |
| As time | 524 seconds = 8 min 44 s |
Is 524 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (524 ÷ 2 = 262) | 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 | Yes (524 ÷ 4 = 131) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 524 a prime number?
No. 524 = × 131, so it is divisible by 2.
What are the factors of 524?
1, 2, 4, 131, 262, 524.
What is 524 in binary?
1000001100 (hexadecimal 20C, octal 1014).
What is the square root of 524?
About 22.8910, exactly 2√131.
What is 524 in Roman numerals?
DXXIV.
Is 524 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 524?
It is a composite number with 6 divisors.