The number 55456
55456 is a composite number with 12 divisors. Its prime factorisation is × 1733. Divisors (12): 1, 2, 4, 8, 16, 32, 1733, 3466, 6932, 13864, 27728, 55456.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55456 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55456 is composite. Its prime factorisation is
- 3
The divisors add up to 109242; without 55456 itself that is 53786, so 55456 is deficient (53786 is less than 55456). Euler's totient φ(55456) = 27712 numbers up to 55456 share no factor with it.
- 4
The digits of 55456 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55456 = 2^{5} \times 1733 \]55456 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109242 |
| Euler totient φ(n) | 27712 |
| Square | 3075367936 |
| Cube | 170547604258816 |
| Square root | 235.490976 (= 4√3466) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5456 × |
55456 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and fifty-six |
| Binary (base 2) | 1101100010100000 |
| Octal (base 8) | 154240 |
| Hexadecimal (base 16) | D8A0 |
| Base 3 | 2211001221 |
| As time | 55456 seconds = 15 h 24 min 16 s |
Is 55456 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55456 ÷ 2 = 27728) | 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 (55456 ÷ 4 = 13864) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (55456 ÷ 8 = 6932) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 55456 a prime number?
No. 55456 = × 1733, so it is divisible by 2.
What are the factors of 55456?
1, 2, 4, 8, 16, 32, 1733, 3466, 6932, 13864, 27728, 55456.
What is 55456 in binary?
1101100010100000 (hexadecimal D8A0, octal 154240).
What is the square root of 55456?
About 235.4910, exactly 4√3466.
Is 55456 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55456?
It is a composite number with 12 divisors.