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The number 54425

54425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 7 × 311. Divisors (12): 1, 5, 7, 25, 35, 175, 311, 1555, 2177, 7775, 10885, 54425.

Number

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How to work it out

  1. 1

    What is special about 54425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54425 is composite. Its prime factorisation is

    54425=52×7×31154425 = 5^{2} \times 7 \times 311
  3. 3

    The divisors add up to 77376; without 54425 itself that is 22951, so 54425 is deficient (22951 is less than 54425). Euler's totient φ(54425) = 37200 numbers up to 54425 share no factor with it.

  4. 4

    The digits of 54425 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54425 = 5^{2} \times 7 \times 311 \]

54425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors77376
Euler totient φ(n)37200
Square2962080625
Cube161211238015625
Square root233.291663 (= 5√2177)
Digit sum / digital root20 / 2
Collatz steps to 191
Scientific notation5.4425 × 10410^{4}

54425 in other forms

FormValue
In wordsfifty-four thousand four hundred and twenty-five
Binary (base 2)1101010010011001
Octal (base 8)152231
Hexadecimal (base 16)D499
Base 32202122202
As time54425 seconds = 15 h 7 min 5 s

Is 54425 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 2)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 (54425 ÷ 5 = 10885)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (54425 ÷ 7 = 7775)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 2)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54425 a prime number?

No. 54425 = 525^{2} × 7 × 311, so it is divisible by 5.

What are the factors of 54425?

1, 5, 7, 25, 35, 175, 311, 1555, 2177, 7775, 10885, 54425.

What is 54425 in binary?

1101010010011001 (hexadecimal D499, octal 152231).

What is the square root of 54425?

About 233.2917, exactly 5√2177.

Is 54425 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 54425?

54425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    54425: is it prime? Factors, square root, binary, Roman numeral | WordGPT