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The number 5777

5777 is a composite number with 4 divisors. Its prime factorisation is 53 × 109. Divisors (4): 1, 53, 109, 5777.

Number

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How to work it out

  1. 1

    What is special about 5777: a semiprime: 53 × 109, the product of two primes.

  2. 2

    5777 is composite. Its prime factorisation is

    5777=53×1095777 = 53 \times 109
  3. 3

    The divisors add up to 5940; without 5777 itself that is 163, so 5777 is deficient (163 is less than 5777). Euler's totient φ(5777) = 5616 numbers up to 5777 share no factor with it.

  4. 4

    The digits of 5777 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5777 = 53 \times 109 \]

5777 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5940
Euler totient φ(n)5616
Square33373729
Cube192800032433
Square root76.006579
Digit sum / digital root26 / 8
Collatz steps to 1142
Scientific notation5.777 × 10310^{3}

5777 in other forms

FormValue
In wordsfive thousand seven hundred and seventy-seven
Binary (base 2)1011010010001
Octal (base 8)13221
Hexadecimal (base 16)1691
Base 321220222
As time5777 seconds = 1 h 36 min 17 s

Is 5777 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).
3No (remainder 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5777 a prime number?

No. 5777 = 53 × 109, so it is divisible by 53.

What are the factors of 5777?

1, 53, 109, 5777.

What is 5777 in binary?

1011010010001 (hexadecimal 1691, octal 13221).

What is the square root of 5777?

About 76.0066.

Is 5777 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 5777?

5777 is a semiprime: 53 × 109, the product of two primes.

All about 5777

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