The number 55508
55508 is a composite number with 6 divisors. Its prime factorisation is × 13877. Divisors (6): 1, 2, 4, 13877, 27754, 55508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55508: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55508 is composite. Its prime factorisation is
- 3
The divisors add up to 97146; without 55508 itself that is 41638, so 55508 is deficient (41638 is less than 55508). Euler's totient φ(55508) = 27752 numbers up to 55508 share no factor with it.
- 4
The digits of 55508 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55508 = 2^{2} \times 13877 \]55508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97146 |
| Euler totient φ(n) | 27752 |
| Square | 3081138064 |
| Cube | 171027811656512 |
| Square root | 235.601358 (= 2√13877) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5508 × |
55508 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and eight |
| Binary (base 2) | 1101100011010100 |
| Octal (base 8) | 154324 |
| Hexadecimal (base 16) | D8D4 |
| Base 3 | 2211010212 |
| As time | 55508 seconds = 15 h 25 min 8 s |
Is 55508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55508 ÷ 2 = 27754) | 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 (55508 ÷ 4 = 13877) | 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 2) | 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 5) | 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 2) | 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 55508 a prime number?
No. 55508 = × 13877, so it is divisible by 2.
What are the factors of 55508?
1, 2, 4, 13877, 27754, 55508.
What is 55508 in binary?
1101100011010100 (hexadecimal D8D4, octal 154324).
What is the square root of 55508?
About 235.6014, exactly 2√13877.
Is 55508 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55508?
55508 is a happy number: repeatedly adding the squares of its digits reaches 1.