The number 55344
55344 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1153. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1153, 2306, 3459, 4612, 6918, 9224 … 55344.
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How to work it out
- 1
What is special about 55344: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55344 is composite. Its prime factorisation is
- 3
The divisors add up to 143096; without 55344 itself that is 87752, so 55344 is abundant (87752 is more than 55344). Euler's totient φ(55344) = 18432 numbers up to 55344 share no factor with it.
- 4
The digits of 55344 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55344 = 2^{4} \times 3 \times 1153 \]55344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 143096 |
| Euler totient φ(n) | 18432 |
| Square | 3062958336 |
| Cube | 169516366147584 |
| Square root | 235.253055 (= 4√3459) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5344 × |
55344 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty-four |
| Binary (base 2) | 1101100000110000 |
| Octal (base 8) | 154060 |
| Hexadecimal (base 16) | D830 |
| Base 3 | 2210220210 |
| As time | 55344 seconds = 15 h 22 min 24 s |
Is 55344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55344 ÷ 2 = 27672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55344 ÷ 3 = 18448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55344 ÷ 4 = 13836) | 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 | Yes (55344 ÷ 6 = 9224) | 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 (55344 ÷ 8 = 6918) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55344 ÷ 12 = 4612) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55344 a prime number?
No. 55344 = × 3 × 1153, so it is divisible by 2.
What are the factors of 55344?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1153, 2306, 3459, 4612, 6918, 9224, 13836, 18448, 27672, 55344.
What is 55344 in binary?
1101100000110000 (hexadecimal D830, octal 154060).
What is the square root of 55344?
About 235.2531, exactly 4√3459.
Is 55344 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55344?
55344 is a happy number: repeatedly adding the squares of its digits reaches 1.