The number 55208
55208 is a composite number with 16 divisors. Its prime factorisation is × 67 × 103. Divisors (16): 1, 2, 4, 8, 67, 103, 134, 206, 268, 412, 536, 824, 6901, 13802, 27604, 55208.
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How to work it out
- 1
55208 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55208 is composite. Its prime factorisation is
- 3
The divisors add up to 106080; without 55208 itself that is 50872, so 55208 is deficient (50872 is less than 55208). Euler's totient φ(55208) = 26928 numbers up to 55208 share no factor with it.
- 4
The digits of 55208 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55208 = 2^{3} \times 67 \times 103 \]55208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106080 |
| Euler totient φ(n) | 26928 |
| Square | 3047923264 |
| Cube | 168269747558912 |
| Square root | 234.963827 (= 2√13802) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5208 × |
55208 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and eight |
| Binary (base 2) | 1101011110101000 |
| Octal (base 8) | 153650 |
| Hexadecimal (base 16) | D7A8 |
| Base 3 | 2210201202 |
| As time | 55208 seconds = 15 h 20 min 8 s |
Is 55208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55208 ÷ 2 = 27604) | 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 (55208 ÷ 4 = 13802) | 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 6) | 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 | Yes (55208 ÷ 8 = 6901) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | 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 55208 a prime number?
No. 55208 = × 67 × 103, so it is divisible by 2.
What are the factors of 55208?
1, 2, 4, 8, 67, 103, 134, 206, 268, 412, 536, 824, 6901, 13802, 27604, 55208.
What is 55208 in binary?
1101011110101000 (hexadecimal D7A8, octal 153650).
What is the square root of 55208?
About 234.9638, exactly 2√13802.
Is 55208 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55208?
It is a composite number with 16 divisors.