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The number 55791

55791 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6199. Divisors (6): 1, 3, 9, 6199, 18597, 55791.

Number

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How to work it out

  1. 1

    55791 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

    55791 is composite. Its prime factorisation is

    55791=32×619955791 = 3^{2} \times 6199
  3. 3

    The divisors add up to 80600; without 55791 itself that is 24809, so 55791 is deficient (24809 is less than 55791). Euler's totient φ(55791) = 37188 numbers up to 55791 share no factor with it.

  4. 4

    The digits of 55791 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55791 = 3^{2} \times 6199 \]

55791 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors80600
Euler totient φ(n)37188
Square3112635681
Cube173657057278671
Square root236.201185 (= 3√6199)
Digit sum / digital root27 / 9
Collatz steps to 191
Scientific notation5.5791 × 10410^{4}

55791 in other forms

FormValue
In wordsfifty-five thousand seven hundred and ninety-one
Binary (base 2)1101100111101111
Octal (base 8)154757
Hexadecimal (base 16)D9EF
Base 32211112100
As time55791 seconds = 15 h 29 min 51 s

Is 55791 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (55791 ÷ 3 = 18597)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (55791 ÷ 9 = 6199)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55791 a prime number?

No. 55791 = 323^{2} × 6199, so it is divisible by 3.

What are the factors of 55791?

1, 3, 9, 6199, 18597, 55791.

What is 55791 in binary?

1101100111101111 (hexadecimal D9EF, octal 154757).

What is the square root of 55791?

About 236.2012, exactly 3√6199.

Is 55791 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 55791?

It is a composite number with 6 divisors.

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    55791: is it prime? Factors, square root, binary, Roman numeral | WordGPT