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The number 5769

5769 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 641. Divisors (6): 1, 3, 9, 641, 1923, 5769.

Number

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How to work it out

  1. 1

    5769 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

    5769 is composite. Its prime factorisation is

    5769=32×6415769 = 3^{2} \times 641
  3. 3

    The divisors add up to 8346; without 5769 itself that is 2577, so 5769 is deficient (2577 is less than 5769). Euler's totient φ(5769) = 3840 numbers up to 5769 share no factor with it.

  4. 4

    The digits of 5769 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 173 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5769 = 3^{2} \times 641 \]

5769 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors8346
Euler totient φ(n)3840
Square33281361
Cube192000171609
Square root75.953933 (= 3√641)
Digit sum / digital root27 / 9
Collatz steps to 1173
Scientific notation5.769 × 10310^{3}

5769 in other forms

FormValue
In wordsfive thousand seven hundred and sixty-nine
Binary (base 2)1011010001001
Octal (base 8)13211
Hexadecimal (base 16)1689
Base 321220200
As time5769 seconds = 1 h 36 min 9 s

Is 5769 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 (5769 ÷ 3 = 1923)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 4)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (5769 ÷ 9 = 641)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 5769 a prime number?

No. 5769 = 323^{2} × 641, so it is divisible by 3.

What are the factors of 5769?

1, 3, 9, 641, 1923, 5769.

What is 5769 in binary?

1011010001001 (hexadecimal 1689, octal 13211).

What is the square root of 5769?

About 75.9539, exactly 3√641.

Is 5769 divisible by 3?

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

What is special about the number 5769?

It is a composite number with 6 divisors.

All about 5769

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