The number 55308
55308 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 419. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 419, 838, 1257, 1676 … 55308.
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How to work it out
- 1
55308 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55308 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 55308 itself that is 85812, so 55308 is abundant (85812 is more than 55308). Euler's totient φ(55308) = 16720 numbers up to 55308 share no factor with it.
- 4
The digits of 55308 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55308 = 2^{2} \times 3 \times 11 \times 419 \]55308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 16720 |
| Square | 3058974864 |
| Cube | 169185781778112 |
| Square root | 235.176529 (= 2√13827) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5308 × |
55308 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and eight |
| Binary (base 2) | 1101100000001100 |
| Octal (base 8) | 154014 |
| Hexadecimal (base 16) | D80C |
| Base 3 | 2210212110 |
| As time | 55308 seconds = 15 h 21 min 48 s |
Is 55308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55308 ÷ 2 = 27654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55308 ÷ 3 = 18436) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55308 ÷ 4 = 13827) | 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 | Yes (55308 ÷ 6 = 9218) | 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 3) | 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 | Yes (55308 ÷ 11 = 5028) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55308 ÷ 12 = 4609) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55308 a prime number?
No. 55308 = × 3 × 11 × 419, so it is divisible by 2.
What are the factors of 55308?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 419, 838, 1257, 1676, 2514, 4609, 5028, 9218, 13827, 18436, 27654, 55308.
What is 55308 in binary?
1101100000001100 (hexadecimal D80C, octal 154014).
What is the square root of 55308?
About 235.1765, exactly 2√13827.
Is 55308 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55308?
It is a composite number with 24 divisors.