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The number 64425

64425 is a composite number with 12 divisors. Its prime factorisation is 3 × 525^{2} × 859. Divisors (12): 1, 3, 5, 15, 25, 75, 859, 2577, 4295, 12885, 21475, 64425.

Number

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How to work it out

  1. 1

    What is special about 64425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    64425 is composite. Its prime factorisation is

    64425=3×52×85964425 = 3 \times 5^{2} \times 859
  3. 3

    The divisors add up to 106640; without 64425 itself that is 42215, so 64425 is deficient (42215 is less than 64425). Euler's totient φ(64425) = 34320 numbers up to 64425 share no factor with it.

  4. 4

    The digits of 64425 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.

LaTeX source of the formulas on this page
\[ 64425 = 3 \times 5^{2} \times 859 \]

64425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors106640
Euler totient φ(n)34320
Square4150580625
Cube267401156765625
Square root253.820803 (= 5√2577)
Digit sum / digital root21 / 3
Collatz steps to 1223
Scientific notation6.4425 × 10410^{4}

64425 in other forms

FormValue
In wordssixty-four thousand four hundred and twenty-five
Binary (base 2)1111101110101001
Octal (base 8)175651
Hexadecimal (base 16)FBA9
Base 310021101010
As time64425 seconds = 17 h 53 min 45 s

Is 64425 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 (64425 ÷ 3 = 21475)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 (64425 ÷ 5 = 12885)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 3)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 9)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 64425 a prime number?

No. 64425 = 3 × 525^{2} × 859, so it is divisible by 3.

What are the factors of 64425?

1, 3, 5, 15, 25, 75, 859, 2577, 4295, 12885, 21475, 64425.

What is 64425 in binary?

1111101110101001 (hexadecimal FBA9, octal 175651).

What is the square root of 64425?

About 253.8208, exactly 5√2577.

Is 64425 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 64425?

64425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    64425: is it prime? Factors, square root, binary, Roman numeral | WordGPT