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The number 8425

8425 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 337. Divisors (6): 1, 5, 25, 337, 1685, 8425.

Number

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How to work it out

  1. 1

    What is special about 8425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    8425 is composite. Its prime factorisation is

    8425=52Ɨ3378425 = 5^{2} \times 337
  3. 3

    The divisors add up to 10478; without 8425 itself that is 2053, so 8425 is deficient (2053 is less than 8425). Euler's totient φ(8425) = 6720 numbers up to 8425 share no factor with it.

  4. 4

    The digits of 8425 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8425 = 5^{2} \times 337 \]

8425 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors10478
Euler totient φ(n)6720
Square70980625
Cube598011765625
Square root91.787799 (= 5√337)
Digit sum / digital root19 / 1
Collatz steps to 1202
Scientific notation8.425 Ɨ 10310^{3}

8425 in other forms

FormValue
In wordseight thousand four hundred and twenty-five
Binary (base 2)10000011101001
Octal (base 8)20351
Hexadecimal (base 16)20E9
Base 3102120001
As time8425 seconds = 2 h 20 min 25 s

Is 8425 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 (8425 Ć· 5 = 1685)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 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 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 10)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 8425 a prime number?

No. 8425 = 525^{2} Ɨ 337, so it is divisible by 5.

What are the factors of 8425?

1, 5, 25, 337, 1685, 8425.

What is 8425 in binary?

10000011101001 (hexadecimal 20E9, octal 20351).

What is the square root of 8425?

About 91.7878, exactly 5√337.

Is 8425 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 8425?

8425 is a happy number: repeatedly adding the squares of its digits reaches 1.

All about 8425

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    8425: is it prime? Factors, square root, binary, Roman numeral | WordGPT