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The number 5767

5767 is a composite number with 4 divisors. Its prime factorisation is 73 × 79. Divisors (4): 1, 73, 79, 5767.

Number

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How to work it out

  1. 1

    What is special about 5767: a semiprime: 73 × 79, the product of two primes.

  2. 2

    5767 is composite. Its prime factorisation is

    5767=73×795767 = 73 \times 79
  3. 3

    The divisors add up to 5920; without 5767 itself that is 153, so 5767 is deficient (153 is less than 5767). Euler's totient φ(5767) = 5616 numbers up to 5767 share no factor with it.

  4. 4

    The digits of 5767 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5767 = 73 \times 79 \]

5767 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5920
Euler totient φ(n)5616
Square33258289
Cube191800552663
Square root75.940766
Digit sum / digital root25 / 7
Collatz steps to 154
Scientific notation5.767 × 10310^{3}

5767 in other forms

FormValue
In wordsfive thousand seven hundred and sixty-seven
Binary (base 2)1011010000111
Octal (base 8)13207
Hexadecimal (base 16)1687
Base 321220121
As time5767 seconds = 1 h 36 min 7 s

Is 5767 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 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5767 a prime number?

No. 5767 = 73 × 79, so it is divisible by 73.

What are the factors of 5767?

1, 73, 79, 5767.

What is 5767 in binary?

1011010000111 (hexadecimal 1687, octal 13207).

What is the square root of 5767?

About 75.9408.

Is 5767 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 5767?

5767 is a semiprime: 73 × 79, the product of two primes.

All about 5767

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