The number 55538
55538 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3967. Divisors (8): 1, 2, 7, 14, 3967, 7934, 27769, 55538.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55538 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55538 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 55538 itself that is 39694, so 55538 is deficient (39694 is less than 55538). Euler's totient φ(55538) = 23796 numbers up to 55538 share no factor with it.
- 4
The digits of 55538 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55538 = 2 \times 7 \times 3967 \]
55538 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 23796 |
| Square | 3084469444 |
| Cube | 171305263980872 |
| Square root | 235.665016 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5538 × |
55538 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty-eight |
| Binary (base 2) | 1101100011110010 |
| Octal (base 8) | 154362 |
| Hexadecimal (base 16) | D8F2 |
| Base 3 | 2211011222 |
| As time | 55538 seconds = 15 h 25 min 38 s |
Is 55538 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55538 ÷ 2 = 27769) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55538 ÷ 7 = 7934) | 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 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55538 a prime number?
No. 55538 = 2 × 7 × 3967, so it is divisible by 2.
What are the factors of 55538?
1, 2, 7, 14, 3967, 7934, 27769, 55538.
What is 55538 in binary?
1101100011110010 (hexadecimal D8F2, octal 154362).
What is the square root of 55538?
About 235.6650.
Is 55538 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55538?
It is a composite number with 8 divisors.