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The number 58425

58425 is a composite number with 24 divisors. Its prime factorisation is 3 × 525^{2} × 19 × 41. Divisors (24): 1, 3, 5, 15, 19, 25, 41, 57, 75, 95, 123, 205, 285, 475, 615, 779 … 58425.

Number

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How to work it out

  1. 1

    58425 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

    58425 is composite. Its prime factorisation is

    58425=3×52×19×4158425 = 3 \times 5^{2} \times 19 \times 41
  3. 3

    The divisors add up to 104160; without 58425 itself that is 45735, so 58425 is deficient (45735 is less than 58425). Euler's totient φ(58425) = 28800 numbers up to 58425 share no factor with it.

  4. 4

    The digits of 58425 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58425 = 3 \times 5^{2} \times 19 \times 41 \]

58425 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors104160
Euler totient φ(n)28800
Square3413480625
Cube199432605515625
Square root241.712639 (= 5√2337)
Digit sum / digital root24 / 6
Collatz steps to 1104
Scientific notation5.8425 × 10410^{4}

58425 in other forms

FormValue
In wordsfifty-eight thousand four hundred and twenty-five
Binary (base 2)1110010000111001
Octal (base 8)162071
Hexadecimal (base 16)E439
Base 32222010220
As time58425 seconds = 16 h 13 min 45 s

Is 58425 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 (58425 ÷ 3 = 19475)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 (58425 ÷ 5 = 11685)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 3)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 6)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 4)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 58425 a prime number?

No. 58425 = 3 × 525^{2} × 19 × 41, so it is divisible by 3.

What are the factors of 58425?

1, 3, 5, 15, 19, 25, 41, 57, 75, 95, 123, 205, 285, 475, 615, 779, 1025, 1425, 2337, 3075, 3895, 11685, 19475, 58425.

What is 58425 in binary?

1110010000111001 (hexadecimal E439, octal 162071).

What is the square root of 58425?

About 241.7126, exactly 5√2337.

Is 58425 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 58425?

It is a composite number with 24 divisors.

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    58425: is it prime? Factors, square root, binary, Roman numeral | WordGPT