The number 537
537 is a composite number with 4 divisors. Its prime factorisation is 3 × 179. Divisors (4): 1, 3, 179, 537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 537: a semiprime: 3 × 179, the product of two primes.
- 2
537 is composite. Its prime factorisation is
- 3
The divisors add up to 720; without 537 itself that is 183, so 537 is deficient (183 is less than 537). Euler's totient φ(537) = 356 numbers up to 537 share no factor with it.
- 4
The digits of 537 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 537 = 3 \times 179 \]
537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 720 |
| Euler totient φ(n) | 356 |
| Square | 288369 |
| Cube | 154854153 |
| Square root | 23.173260 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 22 |
| Scientific notation | 5.37 × |
537 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty-seven |
| Roman numerals | DXXXVII |
| Binary (base 2) | 1000011001 |
| Octal (base 8) | 1031 |
| Hexadecimal (base 16) | 219 |
| Base 3 | 201220 |
| As time | 537 seconds = 8 min 57 s |
Is 537 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 | Yes (537 ÷ 3 = 179) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 537 a prime number?
No. 537 = 3 × 179, so it is divisible by 3.
What are the factors of 537?
1, 3, 179, 537.
What is 537 in binary?
1000011001 (hexadecimal 219, octal 1031).
What is the square root of 537?
About 23.1733.
What is 537 in Roman numerals?
DXXXVII.
Is 537 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 537?
537 is a semiprime: 3 × 179, the product of two primes.