The number 53132
53132 is a composite number with 12 divisors. Its prime factorisation is × 37 × 359. Divisors (12): 1, 2, 4, 37, 74, 148, 359, 718, 1436, 13283, 26566, 53132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53132 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 53132 itself that is 42628, so 53132 is deficient (42628 is less than 53132). Euler's totient φ(53132) = 25776 numbers up to 53132 share no factor with it.
- 4
The digits of 53132 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53132 = 2^{2} \times 37 \times 359 \]53132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 25776 |
| Square | 2823009424 |
| Cube | 149992136715968 |
| Square root | 230.503796 (= 2√13283) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3132 × |
53132 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and thirty-two |
| Binary (base 2) | 1100111110001100 |
| Octal (base 8) | 147614 |
| Hexadecimal (base 16) | CF8C |
| Base 3 | 2200212212 |
| As time | 53132 seconds = 14 h 45 min 32 s |
Is 53132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53132 ÷ 2 = 26566) | 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 (53132 ÷ 4 = 13283) | 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 2) | 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 4) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53132 a prime number?
No. 53132 = × 37 × 359, so it is divisible by 2.
What are the factors of 53132?
1, 2, 4, 37, 74, 148, 359, 718, 1436, 13283, 26566, 53132.
What is 53132 in binary?
1100111110001100 (hexadecimal CF8C, octal 147614).
What is the square root of 53132?
About 230.5038, exactly 2√13283.
Is 53132 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 53132?
It is a composite number with 12 divisors.