The number 55588
55588 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1069. Divisors (12): 1, 2, 4, 13, 26, 52, 1069, 2138, 4276, 13897, 27794, 55588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55588: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55588 is composite. Its prime factorisation is
- 3
The divisors add up to 104860; without 55588 itself that is 49272, so 55588 is deficient (49272 is less than 55588). Euler's totient φ(55588) = 25632 numbers up to 55588 share no factor with it.
- 4
The digits of 55588 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55588 = 2^{2} \times 13 \times 1069 \]55588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104860 |
| Euler totient φ(n) | 25632 |
| Square | 3090025744 |
| Cube | 171768351057472 |
| Square root | 235.771075 (= 2√13897) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5588 × |
55588 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and eighty-eight |
| Binary (base 2) | 1101100100100100 |
| Octal (base 8) | 154444 |
| Hexadecimal (base 16) | D924 |
| Base 3 | 2211020211 |
| As time | 55588 seconds = 15 h 26 min 28 s |
Is 55588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55588 ÷ 2 = 27794) | 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 (55588 ÷ 4 = 13897) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 8) | 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 55588 a prime number?
No. 55588 = × 13 × 1069, so it is divisible by 2.
What are the factors of 55588?
1, 2, 4, 13, 26, 52, 1069, 2138, 4276, 13897, 27794, 55588.
What is 55588 in binary?
1101100100100100 (hexadecimal D924, octal 154444).
What is the square root of 55588?
About 235.7711, exactly 2√13897.
Is 55588 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 55588?
55588 is a happy number: repeatedly adding the squares of its digits reaches 1.