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The number 60775

60775 is a composite number with 24 divisors. Its prime factorisation is 525^{2} × 11 × 13 × 17. Divisors (24): 1, 5, 11, 13, 17, 25, 55, 65, 85, 143, 187, 221, 275, 325, 425, 715 … 60775.

Number

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How to work it out

  1. 1

    What is special about 60775: a Harshad number: divisible by its digit sum 25.

  2. 2

    60775 is composite. Its prime factorisation is

    60775=52×11×13×1760775 = 5^{2} \times 11 \times 13 \times 17
  3. 3

    The divisors add up to 93744; without 60775 itself that is 32969, so 60775 is deficient (32969 is less than 60775). Euler's totient φ(60775) = 38400 numbers up to 60775 share no factor with it.

  4. 4

    The digits of 60775 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60775 = 5^{2} \times 11 \times 13 \times 17 \]

60775 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors93744
Euler totient φ(n)38400
Square3693600625
Cube224478577984375
Square root246.525861 (= 5√2431)
Digit sum / digital root25 / 7
Collatz steps to 191
Scientific notation6.0775 × 10410^{4}

60775 in other forms

FormValue
In wordssixty thousand seven hundred and seventy-five
Binary (base 2)1110110101100111
Octal (base 8)166547
Hexadecimal (base 16)ED67
Base 310002100221
As time60775 seconds = 16 h 52 min 55 s

Is 60775 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 (60775 ÷ 5 = 12155)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 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 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.
11Yes (60775 ÷ 11 = 5525)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 60775 a prime number?

No. 60775 = 525^{2} × 11 × 13 × 17, so it is divisible by 5.

What are the factors of 60775?

1, 5, 11, 13, 17, 25, 55, 65, 85, 143, 187, 221, 275, 325, 425, 715, 935, 1105, 2431, 3575, 4675, 5525, 12155, 60775.

What is 60775 in binary?

1110110101100111 (hexadecimal ED67, octal 166547).

What is the square root of 60775?

About 246.5259, exactly 5√2431.

Is 60775 divisible by 3?

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

What is special about the number 60775?

60775 is a Harshad number: divisible by its digit sum 25.

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    60775: is it prime? Factors, square root, binary, Roman numeral | WordGPT