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The number 85425

85425 is a composite number with 24 divisors. Its prime factorisation is 3 × 525^{2} × 17 × 67. Divisors (24): 1, 3, 5, 15, 17, 25, 51, 67, 75, 85, 201, 255, 335, 425, 1005, 1139 … 85425.

Number

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How to work it out

  1. 1

    85425 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

    85425 is composite. Its prime factorisation is

    85425=3×52×17×6785425 = 3 \times 5^{2} \times 17 \times 67
  3. 3

    The divisors add up to 151776; without 85425 itself that is 66351, so 85425 is deficient (66351 is less than 85425). Euler's totient φ(85425) = 42240 numbers up to 85425 share no factor with it.

  4. 4

    The digits of 85425 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 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 85425 = 3 \times 5^{2} \times 17 \times 67 \]

85425 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors151776
Euler totient φ(n)42240
Square7297430625
Cube623383011140625
Square root292.275555 (= 5√3417)
Digit sum / digital root24 / 6
Collatz steps to 150
Scientific notation8.5425 × 10410^{4}

85425 in other forms

FormValue
In wordseighty-five thousand four hundred and twenty-five
Binary (base 2)10100110110110001
Octal (base 8)246661
Hexadecimal (base 16)14DB1
Base 311100011220
As time85425 seconds = 23 h 43 min 45 s

Is 85425 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 (85425 ÷ 3 = 28475)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 (85425 ÷ 5 = 17085)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 4)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 1)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 10)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 85425 a prime number?

No. 85425 = 3 × 525^{2} × 17 × 67, so it is divisible by 3.

What are the factors of 85425?

1, 3, 5, 15, 17, 25, 51, 67, 75, 85, 201, 255, 335, 425, 1005, 1139, 1275, 1675, 3417, 5025, 5695, 17085, 28475, 85425.

What is 85425 in binary?

10100110110110001 (hexadecimal 14DB1, octal 246661).

What is the square root of 85425?

About 292.2756, exactly 5√3417.

Is 85425 divisible by 3?

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

What is special about the number 85425?

It is a composite number with 24 divisors.

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    85425: is it prime? Factors, square root, binary, Roman numeral | WordGPT