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The number 6775

6775 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 271. Divisors (6): 1, 5, 25, 271, 1355, 6775.

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How to work it out

  1. 1

    What is special about 6775: a Harshad number: divisible by its digit sum 25.

  2. 2

    6775 is composite. Its prime factorisation is

    6775=52Ɨ2716775 = 5^{2} \times 271
  3. 3

    The divisors add up to 8432; without 6775 itself that is 1657, so 6775 is deficient (1657 is less than 6775). Euler's totient φ(6775) = 5400 numbers up to 6775 share no factor with it.

  4. 4

    The digits of 6775 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 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6775 = 5^{2} \times 271 \]

6775 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors8432
Euler totient φ(n)5400
Square45900625
Cube310976734375
Square root82.310388 (= 5√271)
Digit sum / digital root25 / 7
Collatz steps to 144
Scientific notation6.775 Ɨ 10310^{3}

6775 in other forms

FormValue
In wordssix thousand seven hundred and seventy-five
Binary (base 2)1101001110111
Octal (base 8)15167
Hexadecimal (base 16)1A77
Base 3100021221
As time6775 seconds = 1 h 52 min 55 s

Is 6775 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.
5Yes (6775 Ć· 5 = 1355)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 5)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6775 a prime number?

No. 6775 = 525^{2} Ɨ 271, so it is divisible by 5.

What are the factors of 6775?

1, 5, 25, 271, 1355, 6775.

What is 6775 in binary?

1101001110111 (hexadecimal 1A77, octal 15167).

What is the square root of 6775?

About 82.3104, exactly 5√271.

Is 6775 divisible by 3?

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

What is special about the number 6775?

6775 is a Harshad number: divisible by its digit sum 25.

All about 6775

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    6775: is it prime? Factors, square root, binary, Roman numeral | WordGPT