The number 55424
55424 is a composite number with 16 divisors. Its prime factorisation is × 433. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 433, 866, 1732, 3464, 6928, 13856, 27712, 55424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55424 is composite. Its prime factorisation is
- 3
The divisors add up to 110670; without 55424 itself that is 55246, so 55424 is deficient (55246 is less than 55424). Euler's totient φ(55424) = 27648 numbers up to 55424 share no factor with it.
- 4
The digits of 55424 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55424 = 2^{7} \times 433 \]55424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110670 |
| Euler totient φ(n) | 27648 |
| Square | 3071819776 |
| Cube | 170252539265024 |
| Square root | 235.423024 (= 8√866) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5424 × |
55424 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and twenty-four |
| Binary (base 2) | 1101100010000000 |
| Octal (base 8) | 154200 |
| Hexadecimal (base 16) | D880 |
| Base 3 | 2211000202 |
| As time | 55424 seconds = 15 h 23 min 44 s |
Is 55424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55424 ÷ 2 = 27712) | 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 | Yes (55424 ÷ 4 = 13856) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 5) | 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 (55424 ÷ 8 = 6928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55424 a prime number?
No. 55424 = × 433, so it is divisible by 2.
What are the factors of 55424?
1, 2, 4, 8, 16, 32, 64, 128, 433, 866, 1732, 3464, 6928, 13856, 27712, 55424.
What is 55424 in binary?
1101100010000000 (hexadecimal D880, octal 154200).
What is the square root of 55424?
About 235.4230, exactly 8√866.
Is 55424 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55424?
55424 is a happy number: repeatedly adding the squares of its digits reaches 1.