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The number 28625

28625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 229. Divisors (8): 1, 5, 25, 125, 229, 1145, 5725, 28625.

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How to work it out

  1. 1

    What is special about 28625: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    28625 is composite. Its prime factorisation is

    28625=53Ɨ22928625 = 5^{3} \times 229
  3. 3

    The divisors add up to 35880; without 28625 itself that is 7255, so 28625 is deficient (7255 is less than 28625). Euler's totient φ(28625) = 22800 numbers up to 28625 share no factor with it.

  4. 4

    The digits of 28625 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 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28625 = 5^{3} \times 229 \]

28625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors35880
Euler totient φ(n)22800
Square819390625
Cube23455056640625
Square root169.189243 (= 5√1145)
Digit sum / digital root23 / 5
Collatz steps to 177
Scientific notation2.8625 Ɨ 10410^{4}

28625 in other forms

FormValue
In wordstwenty-eight thousand six hundred and twenty-five
Binary (base 2)110111111010001
Octal (base 8)67721
Hexadecimal (base 16)6FD1
Base 31110021012
As time28625 seconds = 7 h 57 min 5 s

Is 28625 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 (28625 Ć· 5 = 5725)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 1)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 3)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 28625 a prime number?

No. 28625 = 535^{3} Ɨ 229, so it is divisible by 5.

What are the factors of 28625?

1, 5, 25, 125, 229, 1145, 5725, 28625.

What is 28625 in binary?

110111111010001 (hexadecimal 6FD1, octal 67721).

What is the square root of 28625?

About 169.1892, exactly 5√1145.

Is 28625 divisible by 3?

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

What is special about the number 28625?

28625 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    28625: is it prime? Factors, square root, binary, Roman numeral | WordGPT