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The number 55773

55773 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6197. Divisors (6): 1, 3, 9, 6197, 18591, 55773.

Number

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How to work it out

  1. 1

    55773 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

    55773 is composite. Its prime factorisation is

    55773=32×619755773 = 3^{2} \times 6197
  3. 3

    The divisors add up to 80574; without 55773 itself that is 24801, so 55773 is deficient (24801 is less than 55773). Euler's totient φ(55773) = 37176 numbers up to 55773 share no factor with it.

  4. 4

    The digits of 55773 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55773 = 3^{2} \times 6197 \]

55773 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors80574
Euler totient φ(n)37176
Square3110627529
Cube173489029174917
Square root236.163079 (= 3√6197)
Digit sum / digital root27 / 9
Collatz steps to 160
Scientific notation5.5773 × 10410^{4}

55773 in other forms

FormValue
In wordsfifty-five thousand seven hundred and seventy-three
Binary (base 2)1101100111011101
Octal (base 8)154735
Hexadecimal (base 16)D9DD
Base 32211111200
As time55773 seconds = 15 h 29 min 33 s

Is 55773 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 (55773 ÷ 3 = 18591)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (55773 ÷ 9 = 6197)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55773 a prime number?

No. 55773 = 323^{2} × 6197, so it is divisible by 3.

What are the factors of 55773?

1, 3, 9, 6197, 18591, 55773.

What is 55773 in binary?

1101100111011101 (hexadecimal D9DD, octal 154735).

What is the square root of 55773?

About 236.1631, exactly 3√6197.

Is 55773 divisible by 3?

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

What is special about the number 55773?

It is a composite number with 6 divisors.

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    55773: is it prime? Factors, square root, binary, Roman numeral | WordGPT