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The number 89425

89425 is a composite number with 18 divisors. Its prime factorisation is 525^{2} × 727^{2} × 73. Divisors (18): 1, 5, 7, 25, 35, 49, 73, 175, 245, 365, 511, 1225, 1825, 2555, 3577, 12775 … 89425.

Number

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How to work it out

  1. 1

    What is special about 89425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    89425 is composite. Its prime factorisation is

    89425=52×72×7389425 = 5^{2} \times 7^{2} \times 73
  3. 3

    The divisors add up to 130758; without 89425 itself that is 41333, so 89425 is deficient (41333 is less than 89425). Euler's totient φ(89425) = 60480 numbers up to 89425 share no factor with it.

  4. 4

    The digits of 89425 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.

LaTeX source of the formulas on this page
\[ 89425 = 5^{2} \times 7^{2} \times 73 \]

89425 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors130758
Euler totient φ(n)60480
Square7996830625
Cube715116578640625
Square root299.040131 (= 35√73)
Digit sum / digital root28 / 1
Collatz steps to 1164
Scientific notation8.9425 × 10410^{4}

89425 in other forms

FormValue
In wordseighty-nine thousand four hundred and twenty-five
Binary (base 2)10101110101010001
Octal (base 8)256521
Hexadecimal (base 16)15D51
Base 311112200001
As time89425 seconds = 24 h 50 min 25 s

Is 89425 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (89425 ÷ 5 = 17885)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.
7Yes (89425 ÷ 7 = 12775)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 1)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 89425 a prime number?

No. 89425 = 525^{2} × 727^{2} × 73, so it is divisible by 5.

What are the factors of 89425?

1, 5, 7, 25, 35, 49, 73, 175, 245, 365, 511, 1225, 1825, 2555, 3577, 12775, 17885, 89425.

What is 89425 in binary?

10101110101010001 (hexadecimal 15D51, octal 256521).

What is the square root of 89425?

About 299.0401, exactly 35√73.

Is 89425 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 89425?

89425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    89425: is it prime? Factors, square root, binary, Roman numeral | WordGPT