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The number 25825

25825 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1033. Divisors (6): 1, 5, 25, 1033, 5165, 25825.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    25825 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

    25825 is composite. Its prime factorisation is

    25825=52Ɨ103325825 = 5^{2} \times 1033
  3. 3

    The divisors add up to 32054; without 25825 itself that is 6229, so 25825 is deficient (6229 is less than 25825). Euler's totient φ(25825) = 20640 numbers up to 25825 share no factor with it.

  4. 4

    The digits of 25825 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25825 = 5^{2} \times 1033 \]

25825 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors32054
Euler totient φ(n)20640
Square666930625
Cube17223483390625
Square root160.701587 (= 5√1033)
Digit sum / digital root22 / 4
Collatz steps to 177
Scientific notation2.5825 Ɨ 10410^{4}

25825 in other forms

FormValue
In wordstwenty-five thousand eight hundred and twenty-five
Binary (base 2)110010011100001
Octal (base 8)62341
Hexadecimal (base 16)64E1
Base 31022102111
As time25825 seconds = 7 h 10 min 25 s

Is 25825 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 (25825 Ć· 5 = 5165)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 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 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 8)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 25825 a prime number?

No. 25825 = 525^{2} Ɨ 1033, so it is divisible by 5.

What are the factors of 25825?

1, 5, 25, 1033, 5165, 25825.

What is 25825 in binary?

110010011100001 (hexadecimal 64E1, octal 62341).

What is the square root of 25825?

About 160.7016, exactly 5√1033.

Is 25825 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 25825?

It is a composite number with 6 divisors.

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    25825: is it prime? Factors, square root, binary, Roman numeral | WordGPT