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The number 23825

23825 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 953. Divisors (6): 1, 5, 25, 953, 4765, 23825.

Number

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How to work it out

  1. 1

    23825 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

    23825 is composite. Its prime factorisation is

    23825=52Ɨ95323825 = 5^{2} \times 953
  3. 3

    The divisors add up to 29574; without 23825 itself that is 5749, so 23825 is deficient (5749 is less than 23825). Euler's totient φ(23825) = 19040 numbers up to 23825 share no factor with it.

  4. 4

    The digits of 23825 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 144 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23825 = 5^{2} \times 953 \]

23825 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors29574
Euler totient φ(n)19040
Square567630625
Cube13523799640625
Square root154.353490 (= 5√953)
Digit sum / digital root20 / 2
Collatz steps to 1144
Scientific notation2.3825 Ɨ 10410^{4}

23825 in other forms

FormValue
In wordstwenty-three thousand eight hundred and twenty-five
Binary (base 2)101110100010001
Octal (base 8)56421
Hexadecimal (base 16)5D11
Base 31012200102
As time23825 seconds = 6 h 37 min 5 s

Is 23825 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 (23825 Ć· 5 = 4765)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 4)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 10)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 23825 a prime number?

No. 23825 = 525^{2} Ɨ 953, so it is divisible by 5.

What are the factors of 23825?

1, 5, 25, 953, 4765, 23825.

What is 23825 in binary?

101110100010001 (hexadecimal 5D11, octal 56421).

What is the square root of 23825?

About 154.3535, exactly 5√953.

Is 23825 divisible by 3?

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

What is special about the number 23825?

It is a composite number with 6 divisors.

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    23825: is it prime? Factors, square root, binary, Roman numeral | WordGPT