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The number 25625

25625 is a composite number with 10 divisors. Its prime factorisation is 545^{4} Ɨ 41. Divisors (10): 1, 5, 25, 41, 125, 205, 625, 1025, 5125, 25625.

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How to work it out

  1. 1

    What is special about 25625: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    25625 is composite. Its prime factorisation is

    25625=54Ɨ4125625 = 5^{4} \times 41
  3. 3

    The divisors add up to 32802; without 25625 itself that is 7177, so 25625 is deficient (7177 is less than 25625). Euler's totient φ(25625) = 20000 numbers up to 25625 share no factor with it.

  4. 4

    The digits of 25625 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25625 = 5^{4} \times 41 \]

25625 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors32802
Euler totient φ(n)20000
Square656640625
Cube16826416015625
Square root160.078106 (= 25√41)
Digit sum / digital root20 / 2
Collatz steps to 177
Scientific notation2.5625 Ɨ 10410^{4}

25625 in other forms

FormValue
In wordstwenty-five thousand six hundred and twenty-five
Binary (base 2)110010000011001
Octal (base 8)62031
Hexadecimal (base 16)6419
Base 31022011002
As time25625 seconds = 7 h 7 min 5 s

Is 25625 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 (25625 Ć· 5 = 5125)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 5)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 2)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25625 a prime number?

No. 25625 = 545^{4} Ɨ 41, so it is divisible by 5.

What are the factors of 25625?

1, 5, 25, 41, 125, 205, 625, 1025, 5125, 25625.

What is 25625 in binary?

110010000011001 (hexadecimal 6419, octal 62031).

What is the square root of 25625?

About 160.0781, exactly 25√41.

Is 25625 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 25625?

25625 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    25625: is it prime? Factors, square root, binary, Roman numeral | WordGPT