The number 55144
55144 is a composite number with 16 divisors. Its prime factorisation is × 61 × 113. Divisors (16): 1, 2, 4, 8, 61, 113, 122, 226, 244, 452, 488, 904, 6893, 13786, 27572, 55144.
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How to work it out
- 1
55144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55144 is composite. Its prime factorisation is
- 3
The divisors add up to 106020; without 55144 itself that is 50876, so 55144 is deficient (50876 is less than 55144). Euler's totient φ(55144) = 26880 numbers up to 55144 share no factor with it.
- 4
The digits of 55144 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55144 = 2^{3} \times 61 \times 113 \]55144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106020 |
| Euler totient φ(n) | 26880 |
| Square | 3040860736 |
| Cube | 167685224425984 |
| Square root | 234.827596 (= 2√13786) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5144 × |
55144 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and forty-four |
| Binary (base 2) | 1101011101101000 |
| Octal (base 8) | 153550 |
| Hexadecimal (base 16) | D768 |
| Base 3 | 2210122101 |
| As time | 55144 seconds = 15 h 19 min 4 s |
Is 55144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55144 ÷ 2 = 27572) | 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 (55144 ÷ 4 = 13786) | 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 | 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 (55144 ÷ 8 = 6893) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 55144 a prime number?
No. 55144 = × 61 × 113, so it is divisible by 2.
What are the factors of 55144?
1, 2, 4, 8, 61, 113, 122, 226, 244, 452, 488, 904, 6893, 13786, 27572, 55144.
What is 55144 in binary?
1101011101101000 (hexadecimal D768, octal 153550).
What is the square root of 55144?
About 234.8276, exactly 2√13786.
Is 55144 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55144?
It is a composite number with 16 divisors.