The number 53537
53537 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 157. Divisors (8): 1, 11, 31, 157, 341, 1727, 4867, 53537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53537 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53537 is composite. Its prime factorisation is
- 3
The divisors add up to 60672; without 53537 itself that is 7135, so 53537 is deficient (7135 is less than 53537). Euler's totient φ(53537) = 46800 numbers up to 53537 share no factor with it.
- 4
The digits of 53537 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53537 = 11 \times 31 \times 157 \]
53537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60672 |
| Euler totient φ(n) | 46800 |
| Square | 2866210369 |
| Cube | 153448304525153 |
| Square root | 231.380639 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3537 × |
53537 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and thirty-seven |
| Binary (base 2) | 1101000100100001 |
| Octal (base 8) | 150441 |
| Hexadecimal (base 16) | D121 |
| Base 3 | 2201102212 |
| As time | 53537 seconds = 14 h 52 min 17 s |
Is 53537 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 | Yes (53537 ÷ 11 = 4867) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53537 a prime number?
No. 53537 = 11 × 31 × 157, so it is divisible by 11.
What are the factors of 53537?
1, 11, 31, 157, 341, 1727, 4867, 53537.
What is 53537 in binary?
1101000100100001 (hexadecimal D121, octal 150441).
What is the square root of 53537?
About 231.3806.
Is 53537 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53537?
It is a composite number with 8 divisors.