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The number 55796

55796 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 13 × 29 × 37. Divisors (24): 1, 2, 4, 13, 26, 29, 37, 52, 58, 74, 116, 148, 377, 481, 754, 962 … 55796.

Number

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How to work it out

  1. 1

    55796 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

    55796 is composite. Its prime factorisation is

    55796=22×13×29×3755796 = 2^{2} \times 13 \times 29 \times 37
  3. 3

    The divisors add up to 111720; without 55796 itself that is 55924, so 55796 is abundant (55924 is more than 55796). Euler's totient φ(55796) = 24192 numbers up to 55796 share no factor with it.

  4. 4

    The digits of 55796 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55796 = 2^{2} \times 13 \times 29 \times 37 \]

55796 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors111720
Euler totient φ(n)24192
Square3113193616
Cube173703750998336
Square root236.211769 (= 2√13949)
Digit sum / digital root32 / 5
Collatz steps to 1135
Scientific notation5.5796 × 10410^{4}

55796 in other forms

FormValue
In wordsfifty-five thousand seven hundred and ninety-six
Binary (base 2)1101100111110100
Octal (base 8)154764
Hexadecimal (base 16)D9F4
Base 32211112112
As time55796 seconds = 15 h 29 min 56 s

Is 55796 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55796 ÷ 2 = 27898)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 (55796 ÷ 4 = 13949)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 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 5)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 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 55796 a prime number?

No. 55796 = 222^{2} × 13 × 29 × 37, so it is divisible by 2.

What are the factors of 55796?

1, 2, 4, 13, 26, 29, 37, 52, 58, 74, 116, 148, 377, 481, 754, 962, 1073, 1508, 1924, 2146, 4292, 13949, 27898, 55796.

What is 55796 in binary?

1101100111110100 (hexadecimal D9F4, octal 154764).

What is the square root of 55796?

About 236.2118, exactly 2√13949.

Is 55796 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 55796?

It is a composite number with 24 divisors.

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    55796: is it prime? Factors, square root, binary, Roman numeral | WordGPT