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The number 80565

80565 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 41 × 131. Divisors (16): 1, 3, 5, 15, 41, 123, 131, 205, 393, 615, 655, 1965, 5371, 16113, 26855, 80565.

Number

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How to work it out

  1. 1

    80565 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

    80565 is composite. Its prime factorisation is

    80565=3×5×41×13180565 = 3 \times 5 \times 41 \times 131
  3. 3

    The divisors add up to 133056; without 80565 itself that is 52491, so 80565 is deficient (52491 is less than 80565). Euler's totient φ(80565) = 41600 numbers up to 80565 share no factor with it.

  4. 4

    The digits of 80565 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80565 = 3 \times 5 \times 41 \times 131 \]

80565 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors133056
Euler totient φ(n)41600
Square6490719225
Cube522924794362125
Square root283.839744
Digit sum / digital root24 / 6
Collatz steps to 1138
Scientific notation8.0565 × 10410^{4}

80565 in other forms

FormValue
In wordseighty thousand five hundred and sixty-five
Binary (base 2)10011101010110101
Octal (base 8)235265
Hexadecimal (base 16)13AB5
Base 311002111220
As time80565 seconds = 22 h 22 min 45 s

Is 80565 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 (80565 ÷ 3 = 26855)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.
5Yes (80565 ÷ 5 = 16113)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 2)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 1)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 80565 a prime number?

No. 80565 = 3 × 5 × 41 × 131, so it is divisible by 3.

What are the factors of 80565?

1, 3, 5, 15, 41, 123, 131, 205, 393, 615, 655, 1965, 5371, 16113, 26855, 80565.

What is 80565 in binary?

10011101010110101 (hexadecimal 13AB5, octal 235265).

What is the square root of 80565?

About 283.8397.

Is 80565 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 80565?

It is a composite number with 16 divisors.

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    80565: is it prime? Factors, square root, binary, Roman numeral | WordGPT