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The number 85482

85482 is a composite number with 16 divisors. Its prime factorisation is 2 × 333^{3} × 1583. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1583, 3166, 4749, 9498, 14247, 28494, 42741, 85482.

Number

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How to work it out

  1. 1

    What is special about 85482: a Harshad number: divisible by its digit sum 27.

  2. 2

    85482 is composite. Its prime factorisation is

    85482=2×33×158385482 = 2 \times 3^{3} \times 1583
  3. 3

    The divisors add up to 190080; without 85482 itself that is 104598, so 85482 is abundant (104598 is more than 85482). Euler's totient φ(85482) = 28476 numbers up to 85482 share no factor with it.

  4. 4

    The digits of 85482 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 85482 = 2 \times 3^{3} \times 1583 \]

85482 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors190080
Euler totient φ(n)28476
Square7307172324
Cube624631704600168
Square root292.373049 (= 3√9498)
Digit sum / digital root27 / 9
Collatz steps to 150
Scientific notation8.5482 × 10410^{4}

85482 in other forms

FormValue
In wordseighty-five thousand four hundred and eighty-two
Binary (base 2)10100110111101010
Octal (base 8)246752
Hexadecimal (base 16)14DEA
Base 311100021000
As time85482 seconds = 23 h 44 min 42 s

Is 85482 divisible by 2 to 12?

DivisorAnswerRule
2Yes (85482 ÷ 2 = 42741)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (85482 ÷ 3 = 28494)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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.
6Yes (85482 ÷ 6 = 14247)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (85482 ÷ 9 = 9498)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 85482 a prime number?

No. 85482 = 2 × 333^{3} × 1583, so it is divisible by 2.

What are the factors of 85482?

1, 2, 3, 6, 9, 18, 27, 54, 1583, 3166, 4749, 9498, 14247, 28494, 42741, 85482.

What is 85482 in binary?

10100110111101010 (hexadecimal 14DEA, octal 246752).

What is the square root of 85482?

About 292.3730, exactly 3√9498.

Is 85482 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 85482?

85482 is a Harshad number: divisible by its digit sum 27.

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    85482: is it prime? Factors, square root, binary, Roman numeral | WordGPT