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The number 12325

12325 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 17 × 29. Divisors (12): 1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465, 12325.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    12325 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

    12325 is composite. Its prime factorisation is

    12325=52×17×2912325 = 5^{2} \times 17 \times 29
  3. 3

    The divisors add up to 16740; without 12325 itself that is 4415, so 12325 is deficient (4415 is less than 12325). Euler's totient φ(12325) = 8960 numbers up to 12325 share no factor with it.

  4. 4

    The digits of 12325 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 12325 = 5^{2} \times 17 \times 29 \]

12325 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors16740
Euler totient φ(n)8960
Square151905625
Cube1872236828125
Square root111.018017 (= 5√493)
Digit sum / digital root13 / 4
Collatz steps to 1156
Scientific notation1.2325 × 10410^{4}

12325 in other forms

FormValue
In wordstwelve thousand three hundred and twenty-five
Binary (base 2)11000000100101
Octal (base 8)30045
Hexadecimal (base 16)3025
Base 3121220111
As time12325 seconds = 3 h 25 min 25 s

Is 12325 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 (12325 ÷ 5 = 2465)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 5)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 5)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 5)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 12325 a prime number?

No. 12325 = 525^{2} × 17 × 29, so it is divisible by 5.

What are the factors of 12325?

1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465, 12325.

What is 12325 in binary?

11000000100101 (hexadecimal 3025, octal 30045).

What is the square root of 12325?

About 111.0180, exactly 5√493.

Is 12325 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 12325?

It is a composite number with 12 divisors.

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    12325: is it prime? Factors, square root, binary, Roman numeral | WordGPT