The number 53732
53732 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 101. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 101, 133, 202, 266, 404, 532, 707 … 53732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53732 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 53732 itself that is 60508, so 53732 is abundant (60508 is more than 53732). Euler's totient φ(53732) = 21600 numbers up to 53732 share no factor with it.
- 4
The digits of 53732 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53732 = 2^{2} \times 7 \times 19 \times 101 \]53732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 21600 |
| Square | 2887127824 |
| Cube | 155131152239168 |
| Square root | 231.801639 (= 2√13433) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3732 × |
53732 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and thirty-two |
| Binary (base 2) | 1101000111100100 |
| Octal (base 8) | 150744 |
| Hexadecimal (base 16) | D1E4 |
| Base 3 | 2201201002 |
| As time | 53732 seconds = 14 h 55 min 32 s |
Is 53732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53732 ÷ 2 = 26866) | 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 (53732 ÷ 4 = 13433) | 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 | Yes (53732 ÷ 7 = 7676) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 53732 a prime number?
No. 53732 = × 7 × 19 × 101, so it is divisible by 2.
What are the factors of 53732?
1, 2, 4, 7, 14, 19, 28, 38, 76, 101, 133, 202, 266, 404, 532, 707, 1414, 1919, 2828, 3838, 7676, 13433, 26866, 53732.
What is 53732 in binary?
1101000111100100 (hexadecimal D1E4, octal 150744).
What is the square root of 53732?
About 231.8016, exactly 2√13433.
Is 53732 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53732?
It is a composite number with 24 divisors.