The number 55724
55724 is a composite number with 6 divisors. Its prime factorisation is × 13931. Divisors (6): 1, 2, 4, 13931, 27862, 55724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55724 is composite. Its prime factorisation is
- 3
The divisors add up to 97524; without 55724 itself that is 41800, so 55724 is deficient (41800 is less than 55724). Euler's totient φ(55724) = 27860 numbers up to 55724 share no factor with it.
- 4
The digits of 55724 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55724 = 2^{2} \times 13931 \]55724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97524 |
| Euler totient φ(n) | 27860 |
| Square | 3105164176 |
| Cube | 173032168543424 |
| Square root | 236.059315 (= 2√13931) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5724 × |
55724 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and twenty-four |
| Binary (base 2) | 1101100110101100 |
| Octal (base 8) | 154654 |
| Hexadecimal (base 16) | D9AC |
| Base 3 | 2211102212 |
| As time | 55724 seconds = 15 h 28 min 44 s |
Is 55724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55724 ÷ 2 = 27862) | 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 (55724 ÷ 4 = 13931) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55724 a prime number?
No. 55724 = × 13931, so it is divisible by 2.
What are the factors of 55724?
1, 2, 4, 13931, 27862, 55724.
What is 55724 in binary?
1101100110101100 (hexadecimal D9AC, octal 154654).
What is the square root of 55724?
About 236.0593, exactly 2√13931.
Is 55724 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55724?
It is a composite number with 6 divisors.