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The number 72925

72925 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2917. Divisors (6): 1, 5, 25, 2917, 14585, 72925.

Number

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How to work it out

  1. 1

    What is special about 72925: a Harshad number: divisible by its digit sum 25.

  2. 2

    72925 is composite. Its prime factorisation is

    72925=52Ɨ291772925 = 5^{2} \times 2917
  3. 3

    The divisors add up to 90458; without 72925 itself that is 17533, so 72925 is deficient (17533 is less than 72925). Euler's totient φ(72925) = 58320 numbers up to 72925 share no factor with it.

  4. 4

    The digits of 72925 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72925 = 5^{2} \times 2917 \]

72925 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors90458
Euler totient φ(n)58320
Square5318055625
Cube387819206453125
Square root270.046292 (= 5√2917)
Digit sum / digital root25 / 7
Collatz steps to 1156
Scientific notation7.2925 Ɨ 10410^{4}

72925 in other forms

FormValue
In wordsseventy-two thousand nine hundred and twenty-five
Binary (base 2)10001110011011101
Octal (base 8)216335
Hexadecimal (base 16)11CDD
Base 310201000221
As time72925 seconds = 20 h 15 min 25 s

Is 72925 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 (72925 Ć· 5 = 14585)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 6)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 72925 a prime number?

No. 72925 = 525^{2} Ɨ 2917, so it is divisible by 5.

What are the factors of 72925?

1, 5, 25, 2917, 14585, 72925.

What is 72925 in binary?

10001110011011101 (hexadecimal 11CDD, octal 216335).

What is the square root of 72925?

About 270.0463, exactly 5√2917.

Is 72925 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 72925?

72925 is a Harshad number: divisible by its digit sum 25.

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    72925: is it prime? Factors, square root, binary, Roman numeral | WordGPT