The number 55827
55827 is a composite number with 6 divisors. Its prime factorisation is × 6203. Divisors (6): 1, 3, 9, 6203, 18609, 55827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55827: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55827 is composite. Its prime factorisation is
- 3
The divisors add up to 80652; without 55827 itself that is 24825, so 55827 is deficient (24825 is less than 55827). Euler's totient φ(55827) = 37212 numbers up to 55827 share no factor with it.
- 4
The digits of 55827 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55827 = 3^{2} \times 6203 \]55827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 80652 |
| Euler totient φ(n) | 37212 |
| Square | 3116653929 |
| Cube | 173993438894283 |
| Square root | 236.277379 (= 3√6203) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5827 × |
55827 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-seven |
| Binary (base 2) | 1101101000010011 |
| Octal (base 8) | 155023 |
| Hexadecimal (base 16) | DA13 |
| Base 3 | 2211120200 |
| As time | 55827 seconds = 15 h 30 min 27 s |
Is 55827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55827 ÷ 3 = 18609) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55827 ÷ 9 = 6203) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55827 a prime number?
No. 55827 = × 6203, so it is divisible by 3.
What are the factors of 55827?
1, 3, 9, 6203, 18609, 55827.
What is 55827 in binary?
1101101000010011 (hexadecimal DA13, octal 155023).
What is the square root of 55827?
About 236.2774, exactly 3√6203.
Is 55827 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55827?
55827 is a happy number: repeatedly adding the squares of its digits reaches 1.