The number 55338
55338 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 401. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 401, 802, 1203, 2406, 9223, 18446, 27669, 55338.
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How to work it out
- 1
55338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55338 is composite. Its prime factorisation is
- 3
The divisors add up to 115776; without 55338 itself that is 60438, so 55338 is abundant (60438 is more than 55338). Euler's totient φ(55338) = 17600 numbers up to 55338 share no factor with it.
- 4
The digits of 55338 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55338 = 2 \times 3 \times 23 \times 401 \]
55338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115776 |
| Euler totient φ(n) | 17600 |
| Square | 3062294244 |
| Cube | 169461238874472 |
| Square root | 235.240303 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5338 × |
55338 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-eight |
| Binary (base 2) | 1101100000101010 |
| Octal (base 8) | 154052 |
| Hexadecimal (base 16) | D82A |
| Base 3 | 2210220120 |
| As time | 55338 seconds = 15 h 22 min 18 s |
Is 55338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55338 ÷ 2 = 27669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55338 ÷ 3 = 18446) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (55338 ÷ 6 = 9223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55338 a prime number?
No. 55338 = 2 × 3 × 23 × 401, so it is divisible by 2.
What are the factors of 55338?
1, 2, 3, 6, 23, 46, 69, 138, 401, 802, 1203, 2406, 9223, 18446, 27669, 55338.
What is 55338 in binary?
1101100000101010 (hexadecimal D82A, octal 154052).
What is the square root of 55338?
About 235.2403.
Is 55338 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55338?
It is a composite number with 16 divisors.