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The number 58225

58225 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 17 × 137. Divisors (12): 1, 5, 17, 25, 85, 137, 425, 685, 2329, 3425, 11645, 58225.

Number

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How to work it out

  1. 1

    58225 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

    58225 is composite. Its prime factorisation is

    58225=52×17×13758225 = 5^{2} \times 17 \times 137
  3. 3

    The divisors add up to 77004; without 58225 itself that is 18779, so 58225 is deficient (18779 is less than 58225). Euler's totient φ(58225) = 43520 numbers up to 58225 share no factor with it.

  4. 4

    The digits of 58225 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 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58225 = 5^{2} \times 17 \times 137 \]

58225 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors77004
Euler totient φ(n)43520
Square3390150625
Cube197391520140625
Square root241.298570 (= 5√2329)
Digit sum / digital root22 / 4
Collatz steps to 1166
Scientific notation5.8225 × 10410^{4}

58225 in other forms

FormValue
In wordsfifty-eight thousand two hundred and twenty-five
Binary (base 2)1110001101110001
Octal (base 8)161561
Hexadecimal (base 16)E371
Base 32221212111
As time58225 seconds = 16 h 10 min 25 s

Is 58225 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 (58225 ÷ 5 = 11645)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 6)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 58225 a prime number?

No. 58225 = 525^{2} × 17 × 137, so it is divisible by 5.

What are the factors of 58225?

1, 5, 17, 25, 85, 137, 425, 685, 2329, 3425, 11645, 58225.

What is 58225 in binary?

1110001101110001 (hexadecimal E371, octal 161561).

What is the square root of 58225?

About 241.2986, exactly 5√2329.

Is 58225 divisible by 3?

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

What is special about the number 58225?

It is a composite number with 12 divisors.

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    58225: is it prime? Factors, square root, binary, Roman numeral | WordGPT