The number 55738
55738 is a composite number with 12 divisors. Its prime factorisation is 2 × 29 × . Divisors (12): 1, 2, 29, 31, 58, 62, 899, 961, 1798, 1922, 27869, 55738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55738 is composite. Its prime factorisation is
- 3
The divisors add up to 89370; without 55738 itself that is 33632, so 55738 is deficient (33632 is less than 55738). Euler's totient φ(55738) = 26040 numbers up to 55738 share no factor with it.
- 4
The digits of 55738 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55738 = 2 \times 29 \times 31^{2} \]55738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89370 |
| Euler totient φ(n) | 26040 |
| Square | 3106724644 |
| Cube | 173162618207272 |
| Square root | 236.088966 (= 31√58) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5738 × |
55738 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-eight |
| Binary (base 2) | 1101100110111010 |
| Octal (base 8) | 154672 |
| Hexadecimal (base 16) | D9BA |
| Base 3 | 2211110101 |
| As time | 55738 seconds = 15 h 28 min 58 s |
Is 55738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55738 ÷ 2 = 27869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55738 a prime number?
No. 55738 = 2 × 29 × , so it is divisible by 2.
What are the factors of 55738?
1, 2, 29, 31, 58, 62, 899, 961, 1798, 1922, 27869, 55738.
What is 55738 in binary?
1101100110111010 (hexadecimal D9BA, octal 154672).
What is the square root of 55738?
About 236.0890, exactly 31√58.
Is 55738 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55738?
It is a composite number with 12 divisors.