The number 55422
55422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3079. Divisors (12): 1, 2, 3, 6, 9, 18, 3079, 6158, 9237, 18474, 27711, 55422.
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How to work it out
- 1
What is special about 55422: a Harshad number: divisible by its digit sum 18.
- 2
55422 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 55422 itself that is 64698, so 55422 is abundant (64698 is more than 55422). Euler's totient φ(55422) = 18468 numbers up to 55422 share no factor with it.
- 4
The digits of 55422 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55422 = 2 \times 3^{2} \times 3079 \]55422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 18468 |
| Square | 3071598084 |
| Cube | 170234109011448 |
| Square root | 235.418776 (= 3√6158) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5422 × |
55422 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and twenty-two |
| Binary (base 2) | 1101100001111110 |
| Octal (base 8) | 154176 |
| Hexadecimal (base 16) | D87E |
| Base 3 | 2211000200 |
| As time | 55422 seconds = 15 h 23 min 42 s |
Is 55422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55422 ÷ 2 = 27711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55422 ÷ 3 = 18474) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55422 ÷ 6 = 9237) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55422 ÷ 9 = 6158) | 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 | No (remainder 4) | 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 55422 a prime number?
No. 55422 = 2 × × 3079, so it is divisible by 2.
What are the factors of 55422?
1, 2, 3, 6, 9, 18, 3079, 6158, 9237, 18474, 27711, 55422.
What is 55422 in binary?
1101100001111110 (hexadecimal D87E, octal 154176).
What is the square root of 55422?
About 235.4188, exactly 3√6158.
Is 55422 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55422?
55422 is a Harshad number: divisible by its digit sum 18.