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The number 25389

25389 is a composite number with 24 divisors. Its prime factorisation is 323^{2} × 7 × 13 × 31. Divisors (24): 1, 3, 7, 9, 13, 21, 31, 39, 63, 91, 93, 117, 217, 273, 279, 403 … 25389.

Number

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How to work it out

  1. 1

    25389 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

    25389 is composite. Its prime factorisation is

    25389=32×7×13×3125389 = 3^{2} \times 7 \times 13 \times 31
  3. 3

    The divisors add up to 46592; without 25389 itself that is 21203, so 25389 is deficient (21203 is less than 25389). Euler's totient φ(25389) = 12960 numbers up to 25389 share no factor with it.

  4. 4

    The digits of 25389 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25389 = 3^{2} \times 7 \times 13 \times 31 \]

25389 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors46592
Euler totient φ(n)12960
Square644601321
Cube16365782938869
Square root159.339261 (= 3√2821)
Digit sum / digital root27 / 9
Collatz steps to 138
Scientific notation2.5389 × 10410^{4}

25389 in other forms

FormValue
In wordstwenty-five thousand three hundred and eighty-nine
Binary (base 2)110001100101101
Octal (base 8)61455
Hexadecimal (base 16)632D
Base 31021211100
As time25389 seconds = 7 h 3 min 9 s

Is 25389 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).
3Yes (25389 ÷ 3 = 8463)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.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (25389 ÷ 7 = 3627)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.
9Yes (25389 ÷ 9 = 2821)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25389 a prime number?

No. 25389 = 323^{2} × 7 × 13 × 31, so it is divisible by 3.

What are the factors of 25389?

1, 3, 7, 9, 13, 21, 31, 39, 63, 91, 93, 117, 217, 273, 279, 403, 651, 819, 1209, 1953, 2821, 3627, 8463, 25389.

What is 25389 in binary?

110001100101101 (hexadecimal 632D, octal 61455).

What is the square root of 25389?

About 159.3393, exactly 3√2821.

Is 25389 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 25389?

It is a composite number with 24 divisors.

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    25389: is it prime? Factors, square root, binary, Roman numeral | WordGPT