The number 55384
55384 is a composite number with 32 divisors. Its prime factorisation is × 7 × 23 × 43. Divisors (32): 1, 2, 4, 7, 8, 14, 23, 28, 43, 46, 56, 86, 92, 161, 172, 184 … 55384.
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How to work it out
- 1
What is special about 55384: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55384 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 55384 itself that is 71336, so 55384 is abundant (71336 is more than 55384). Euler's totient φ(55384) = 22176 numbers up to 55384 share no factor with it.
- 4
The digits of 55384 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55384 = 2^{3} \times 7 \times 23 \times 43 \]55384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 22176 |
| Square | 3067387456 |
| Cube | 169884186863104 |
| Square root | 235.338055 (= 2√13846) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5384 × |
55384 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and eighty-four |
| Binary (base 2) | 1101100001011000 |
| Octal (base 8) | 154130 |
| Hexadecimal (base 16) | D858 |
| Base 3 | 2210222021 |
| As time | 55384 seconds = 15 h 23 min 4 s |
Is 55384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55384 ÷ 2 = 27692) | 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 (55384 ÷ 4 = 13846) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55384 ÷ 7 = 7912) | 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 (55384 ÷ 8 = 6923) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 55384 a prime number?
No. 55384 = × 7 × 23 × 43, so it is divisible by 2.
What are the factors of 55384?
1, 2, 4, 7, 8, 14, 23, 28, 43, 46, 56, 86, 92, 161, 172, 184, 301, 322, 344, 602, 644, 989, 1204, 1288, 1978, 2408, 3956, 6923, 7912, 13846, 27692, 55384.
What is 55384 in binary?
1101100001011000 (hexadecimal D858, octal 154130).
What is the square root of 55384?
About 235.3381, exactly 2√13846.
Is 55384 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55384?
55384 is a happy number: repeatedly adding the squares of its digits reaches 1.