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The number 7325

7325 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 293. Divisors (6): 1, 5, 25, 293, 1465, 7325.

Number

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How to work it out

  1. 1

    7325 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

    7325 is composite. Its prime factorisation is

    7325=52Ɨ2937325 = 5^{2} \times 293
  3. 3

    The divisors add up to 9114; without 7325 itself that is 1789, so 7325 is deficient (1789 is less than 7325). Euler's totient φ(7325) = 5840 numbers up to 7325 share no factor with it.

  4. 4

    The digits of 7325 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7325 = 5^{2} \times 293 \]

7325 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors9114
Euler totient φ(n)5840
Square53655625
Cube393027453125
Square root85.586214 (= 5√293)
Digit sum / digital root17 / 8
Collatz steps to 170
Scientific notation7.325 Ɨ 10310^{3}

7325 in other forms

FormValue
In wordsseven thousand three hundred and twenty-five
Binary (base 2)1110010011101
Octal (base 8)16235
Hexadecimal (base 16)1C9D
Base 3101001022
As time7325 seconds = 2 h 2 min 5 s

Is 7325 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 (7325 Ć· 5 = 1465)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.
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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 10)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 7325 a prime number?

No. 7325 = 525^{2} Ɨ 293, so it is divisible by 5.

What are the factors of 7325?

1, 5, 25, 293, 1465, 7325.

What is 7325 in binary?

1110010011101 (hexadecimal 1C9D, octal 16235).

What is the square root of 7325?

About 85.5862, exactly 5√293.

Is 7325 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 7325?

It is a composite number with 6 divisors.

All about 7325

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    7325: is it prime? Factors, square root, binary, Roman numeral | WordGPT