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The number 9725

9725 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 389. Divisors (6): 1, 5, 25, 389, 1945, 9725.

Number

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How to work it out

  1. 1

    9725 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

    9725 is composite. Its prime factorisation is

    9725=52Ɨ3899725 = 5^{2} \times 389
  3. 3

    The divisors add up to 12090; without 9725 itself that is 2365, so 9725 is deficient (2365 is less than 9725). Euler's totient φ(9725) = 7760 numbers up to 9725 share no factor with it.

  4. 4

    The digits of 9725 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9725 = 5^{2} \times 389 \]

9725 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors12090
Euler totient φ(n)7760
Square94575625
Cube919747953125
Square root98.615415 (= 5√389)
Digit sum / digital root23 / 5
Collatz steps to 1166
Scientific notation9.725 Ɨ 10310^{3}

9725 in other forms

FormValue
In wordsnine thousand seven hundred and twenty-five
Binary (base 2)10010111111101
Octal (base 8)22775
Hexadecimal (base 16)25FD
Base 3111100012
As time9725 seconds = 2 h 42 min 5 s

Is 9725 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 (9725 Ć· 5 = 1945)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 1)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 9725 a prime number?

No. 9725 = 525^{2} Ɨ 389, so it is divisible by 5.

What are the factors of 9725?

1, 5, 25, 389, 1945, 9725.

What is 9725 in binary?

10010111111101 (hexadecimal 25FD, octal 22775).

What is the square root of 9725?

About 98.6154, exactly 5√389.

Is 9725 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 9725?

It is a composite number with 6 divisors.

All about 9725

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