The number 55792
55792 is a composite number with 20 divisors. Its prime factorisation is × 11 × 317. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 317, 634, 1268, 2536, 3487, 5072 … 55792.
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How to work it out
- 1
55792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55792 is composite. Its prime factorisation is
- 3
The divisors add up to 118296; without 55792 itself that is 62504, so 55792 is abundant (62504 is more than 55792). Euler's totient φ(55792) = 25280 numbers up to 55792 share no factor with it.
- 4
The digits of 55792 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55792 = 2^{4} \times 11 \times 317 \]55792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 118296 |
| Euler totient φ(n) | 25280 |
| Square | 3112747264 |
| Cube | 173666395353088 |
| Square root | 236.203302 (= 4√3487) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5792 × |
55792 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and ninety-two |
| Binary (base 2) | 1101100111110000 |
| Octal (base 8) | 154760 |
| Hexadecimal (base 16) | D9F0 |
| Base 3 | 2211112101 |
| As time | 55792 seconds = 15 h 29 min 52 s |
Is 55792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55792 ÷ 2 = 27896) | 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 | Yes (55792 ÷ 4 = 13948) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 (55792 ÷ 8 = 6974) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55792 ÷ 11 = 5072) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55792 a prime number?
No. 55792 = × 11 × 317, so it is divisible by 2.
What are the factors of 55792?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 317, 634, 1268, 2536, 3487, 5072, 6974, 13948, 27896, 55792.
What is 55792 in binary?
1101100111110000 (hexadecimal D9F0, octal 154760).
What is the square root of 55792?
About 236.2033, exactly 4√3487.
Is 55792 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55792?
It is a composite number with 20 divisors.