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The number 67775

67775 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2711. Divisors (6): 1, 5, 25, 2711, 13555, 67775.

Number

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How to work it out

  1. 1

    What is special about 67775: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    67775 is composite. Its prime factorisation is

    67775=52Ɨ271167775 = 5^{2} \times 2711
  3. 3

    The divisors add up to 84072; without 67775 itself that is 16297, so 67775 is deficient (16297 is less than 67775). Euler's totient φ(67775) = 54200 numbers up to 67775 share no factor with it.

  4. 4

    The digits of 67775 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67775 = 5^{2} \times 2711 \]

67775 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84072
Euler totient φ(n)54200
Square4593450625
Cube311321116109375
Square root260.336321 (= 5√2711)
Digit sum / digital root32 / 5
Collatz steps to 1112
Scientific notation6.7775 Ɨ 10410^{4}

67775 in other forms

FormValue
In wordssixty-seven thousand seven hundred and seventy-five
Binary (base 2)10000100010111111
Octal (base 8)204277
Hexadecimal (base 16)108BF
Base 310102222012
As time67775 seconds = 18 h 49 min 35 s

Is 67775 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (67775 Ć· 5 = 13555)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67775 a prime number?

No. 67775 = 525^{2} Ɨ 2711, so it is divisible by 5.

What are the factors of 67775?

1, 5, 25, 2711, 13555, 67775.

What is 67775 in binary?

10000100010111111 (hexadecimal 108BF, octal 204277).

What is the square root of 67775?

About 260.3363, exactly 5√2711.

Is 67775 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 67775?

67775 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    67775: is it prime? Factors, square root, binary, Roman numeral | WordGPT