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The number 55876

55876 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 61 × 229. Divisors (12): 1, 2, 4, 61, 122, 229, 244, 458, 916, 13969, 27938, 55876.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    55876 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

    55876 is composite. Its prime factorisation is

    55876=22×61×22955876 = 2^{2} \times 61 \times 229
  3. 3

    The divisors add up to 99820; without 55876 itself that is 43944, so 55876 is deficient (43944 is less than 55876). Euler's totient φ(55876) = 27360 numbers up to 55876 share no factor with it.

  4. 4

    The digits of 55876 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55876 = 2^{2} \times 61 \times 229 \]

55876 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors99820
Euler totient φ(n)27360
Square3122127376
Cube174451989261376
Square root236.381048 (= 2√13969)
Digit sum / digital root31 / 4
Collatz steps to 1109
Scientific notation5.5876 × 10410^{4}

55876 in other forms

FormValue
In wordsfifty-five thousand eight hundred and seventy-six
Binary (base 2)1101101001000100
Octal (base 8)155104
Hexadecimal (base 16)DA44
Base 32211122111
As time55876 seconds = 15 h 31 min 16 s

Is 55876 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55876 ÷ 2 = 27938)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 (55876 ÷ 4 = 13969)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 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.
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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 55876 a prime number?

No. 55876 = 222^{2} × 61 × 229, so it is divisible by 2.

What are the factors of 55876?

1, 2, 4, 61, 122, 229, 244, 458, 916, 13969, 27938, 55876.

What is 55876 in binary?

1101101001000100 (hexadecimal DA44, octal 155104).

What is the square root of 55876?

About 236.3810, exactly 2√13969.

Is 55876 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 55876?

It is a composite number with 12 divisors.

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    55876: is it prime? Factors, square root, binary, Roman numeral | WordGPT