The number 55732
55732 is a composite number with 6 divisors. Its prime factorisation is × 13933. Divisors (6): 1, 2, 4, 13933, 27866, 55732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55732 is composite. Its prime factorisation is
- 3
The divisors add up to 97538; without 55732 itself that is 41806, so 55732 is deficient (41806 is less than 55732). Euler's totient φ(55732) = 27864 numbers up to 55732 share no factor with it.
- 4
The digits of 55732 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55732 = 2^{2} \times 13933 \]55732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97538 |
| Euler totient φ(n) | 27864 |
| Square | 3106055824 |
| Cube | 173106703183168 |
| Square root | 236.076259 (= 2√13933) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5732 × |
55732 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-two |
| Binary (base 2) | 1101100110110100 |
| Octal (base 8) | 154664 |
| Hexadecimal (base 16) | D9B4 |
| Base 3 | 2211110011 |
| As time | 55732 seconds = 15 h 28 min 52 s |
Is 55732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55732 ÷ 2 = 27866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55732 ÷ 4 = 13933) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55732 a prime number?
No. 55732 = × 13933, so it is divisible by 2.
What are the factors of 55732?
1, 2, 4, 13933, 27866, 55732.
What is 55732 in binary?
1101100110110100 (hexadecimal D9B4, octal 154664).
What is the square root of 55732?
About 236.0763, exactly 2√13933.
Is 55732 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55732?
It is a composite number with 6 divisors.