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The number 55628

55628 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 13907. Divisors (6): 1, 2, 4, 13907, 27814, 55628.

Number

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How to work it out

  1. 1

    55628 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

    55628 is composite. Its prime factorisation is

    55628=22×1390755628 = 2^{2} \times 13907
  3. 3

    The divisors add up to 97356; without 55628 itself that is 41728, so 55628 is deficient (41728 is less than 55628). Euler's totient φ(55628) = 27812 numbers up to 55628 share no factor with it.

  4. 4

    The digits of 55628 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55628 = 2^{2} \times 13907 \]

55628 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors97356
Euler totient φ(n)27812
Square3094474384
Cube172139421033152
Square root235.855888 (= 2√13907)
Digit sum / digital root26 / 8
Collatz steps to 191
Scientific notation5.5628 × 10410^{4}

55628 in other forms

FormValue
In wordsfifty-five thousand six hundred and twenty-eight
Binary (base 2)1101100101001100
Octal (base 8)154514
Hexadecimal (base 16)D94C
Base 32211022022
As time55628 seconds = 15 h 27 min 8 s

Is 55628 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55628 ÷ 2 = 27814)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (55628 ÷ 4 = 13907)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 8)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55628 a prime number?

No. 55628 = 222^{2} × 13907, so it is divisible by 2.

What are the factors of 55628?

1, 2, 4, 13907, 27814, 55628.

What is 55628 in binary?

1101100101001100 (hexadecimal D94C, octal 154514).

What is the square root of 55628?

About 235.8559, exactly 2√13907.

Is 55628 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 55628?

It is a composite number with 6 divisors.

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