The number 55324
55324 is a composite number with 6 divisors. Its prime factorisation is × 13831. Divisors (6): 1, 2, 4, 13831, 27662, 55324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55324: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55324 is composite. Its prime factorisation is
- 3
The divisors add up to 96824; without 55324 itself that is 41500, so 55324 is deficient (41500 is less than 55324). Euler's totient φ(55324) = 27660 numbers up to 55324 share no factor with it.
- 4
The digits of 55324 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55324 = 2^{2} \times 13831 \]55324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 96824 |
| Euler totient φ(n) | 27660 |
| Square | 3060744976 |
| Cube | 169332655052224 |
| Square root | 235.210544 (= 2√13831) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5324 × |
55324 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and twenty-four |
| Binary (base 2) | 1101100000011100 |
| Octal (base 8) | 154034 |
| Hexadecimal (base 16) | D81C |
| Base 3 | 2210220001 |
| As time | 55324 seconds = 15 h 22 min 4 s |
Is 55324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55324 ÷ 2 = 27662) | 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 (55324 ÷ 4 = 13831) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 5) | 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 55324 a prime number?
No. 55324 = × 13831, so it is divisible by 2.
What are the factors of 55324?
1, 2, 4, 13831, 27662, 55324.
What is 55324 in binary?
1101100000011100 (hexadecimal D81C, octal 154034).
What is the square root of 55324?
About 235.2105, exactly 2√13831.
Is 55324 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55324?
55324 is a happy number: repeatedly adding the squares of its digits reaches 1.