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The number 55228

55228 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 13807. Divisors (6): 1, 2, 4, 13807, 27614, 55228.

Number

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How to work it out

  1. 1

    55228 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    55228 is composite. Its prime factorisation is

    55228=22×1380755228 = 2^{2} \times 13807
  3. 3

    The divisors add up to 96656; without 55228 itself that is 41428, so 55228 is deficient (41428 is less than 55228). Euler's totient φ(55228) = 27612 numbers up to 55228 share no factor with it.

  4. 4

    The digits of 55228 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55228 = 2^{2} \times 13807 \]

55228 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors96656
Euler totient φ(n)27612
Square3050131984
Cube168452689212352
Square root235.006383 (= 2√13807)
Digit sum / digital root22 / 4
Collatz steps to 165
Scientific notation5.5228 × 10410^{4}

55228 in other forms

FormValue
In wordsfifty-five thousand two hundred and twenty-eight
Binary (base 2)1101011110111100
Octal (base 8)153674
Hexadecimal (base 16)D7BC
Base 32210202111
As time55228 seconds = 15 h 20 min 28 s

Is 55228 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55228 ÷ 2 = 27614)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (55228 ÷ 4 = 13807)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55228 a prime number?

No. 55228 = 222^{2} × 13807, so it is divisible by 2.

What are the factors of 55228?

1, 2, 4, 13807, 27614, 55228.

What is 55228 in binary?

1101011110111100 (hexadecimal D7BC, octal 153674).

What is the square root of 55228?

About 235.0064, exactly 2√13807.

Is 55228 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 55228?

It is a composite number with 6 divisors.

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    55228: is it prime? Factors, square root, binary, Roman numeral | WordGPT