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The number 38425

38425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 29 × 53. Divisors (12): 1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685, 38425.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    38425 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

    38425 is composite. Its prime factorisation is

    38425=52×29×5338425 = 5^{2} \times 29 \times 53
  3. 3

    The divisors add up to 50220; without 38425 itself that is 11795, so 38425 is deficient (11795 is less than 38425). Euler's totient φ(38425) = 29120 numbers up to 38425 share no factor with it.

  4. 4

    The digits of 38425 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38425 = 5^{2} \times 29 \times 53 \]

38425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors50220
Euler totient φ(n)29120
Square1476480625
Cube56733768015625
Square root196.022958 (= 5√1537)
Digit sum / digital root22 / 4
Collatz steps to 180
Scientific notation3.8425 × 10410^{4}

38425 in other forms

FormValue
In wordsthirty-eight thousand four hundred and twenty-five
Binary (base 2)1001011000011001
Octal (base 8)113031
Hexadecimal (base 16)9619
Base 31221201011
As time38425 seconds = 10 h 40 min 25 s

Is 38425 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 (38425 ÷ 5 = 7685)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 2)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 4)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 2)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 38425 a prime number?

No. 38425 = 525^{2} × 29 × 53, so it is divisible by 5.

What are the factors of 38425?

1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685, 38425.

What is 38425 in binary?

1001011000011001 (hexadecimal 9619, octal 113031).

What is the square root of 38425?

About 196.0230, exactly 5√1537.

Is 38425 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 38425?

It is a composite number with 12 divisors.

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    38425: is it prime? Factors, square root, binary, Roman numeral | WordGPT