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The number 55928

55928 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 6991. Divisors (8): 1, 2, 4, 8, 6991, 13982, 27964, 55928.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    55928 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

    55928 is composite. Its prime factorisation is

    55928=23×699155928 = 2^{3} \times 6991
  3. 3

    The divisors add up to 104880; without 55928 itself that is 48952, so 55928 is deficient (48952 is less than 55928). Euler's totient φ(55928) = 27960 numbers up to 55928 share no factor with it.

  4. 4

    The digits of 55928 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55928 = 2^{3} \times 6991 \]

55928 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors104880
Euler totient φ(n)27960
Square3127941184
Cube174939494538752
Square root236.491015 (= 2√13982)
Digit sum / digital root29 / 2
Collatz steps to 160
Scientific notation5.5928 × 10410^{4}

55928 in other forms

FormValue
In wordsfifty-five thousand nine hundred and twenty-eight
Binary (base 2)1101101001111000
Octal (base 8)155170
Hexadecimal (base 16)DA78
Base 32211201102
As time55928 seconds = 15 h 32 min 8 s

Is 55928 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55928 ÷ 2 = 27964)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 (55928 ÷ 4 = 13982)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 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.
8Yes (55928 ÷ 8 = 6991)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 4)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 55928 a prime number?

No. 55928 = 232^{3} × 6991, so it is divisible by 2.

What are the factors of 55928?

1, 2, 4, 8, 6991, 13982, 27964, 55928.

What is 55928 in binary?

1101101001111000 (hexadecimal DA78, octal 155170).

What is the square root of 55928?

About 236.4910, exactly 2√13982.

Is 55928 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 55928?

It is a composite number with 8 divisors.

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    55928: is it prime? Factors, square root, binary, Roman numeral | WordGPT