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The number 25484

25484 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 23 × 277. Divisors (12): 1, 2, 4, 23, 46, 92, 277, 554, 1108, 6371, 12742, 25484.

Number

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How to work it out

  1. 1

    What is special about 25484: a Harshad number: divisible by its digit sum 23.

  2. 2

    25484 is composite. Its prime factorisation is

    25484=22×23×27725484 = 2^{2} \times 23 \times 277
  3. 3

    The divisors add up to 46704; without 25484 itself that is 21220, so 25484 is deficient (21220 is less than 25484). Euler's totient φ(25484) = 12144 numbers up to 25484 share no factor with it.

  4. 4

    The digits of 25484 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 33 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25484 = 2^{2} \times 23 \times 277 \]

25484 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors46704
Euler totient φ(n)12144
Square649434256
Cube16550182579904
Square root159.637088 (= 2√6371)
Digit sum / digital root23 / 5
Collatz steps to 133
Scientific notation2.5484 × 10410^{4}

25484 in other forms

FormValue
In wordstwenty-five thousand four hundred and eighty-four
Binary (base 2)110001110001100
Octal (base 8)61614
Hexadecimal (base 16)638C
Base 31021221212
As time25484 seconds = 7 h 4 min 44 s

Is 25484 divisible by 2 to 12?

DivisorAnswerRule
2Yes (25484 ÷ 2 = 12742)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.
4Yes (25484 ÷ 4 = 6371)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 2)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 4)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 4)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25484 a prime number?

No. 25484 = 222^{2} × 23 × 277, so it is divisible by 2.

What are the factors of 25484?

1, 2, 4, 23, 46, 92, 277, 554, 1108, 6371, 12742, 25484.

What is 25484 in binary?

110001110001100 (hexadecimal 638C, octal 61614).

What is the square root of 25484?

About 159.6371, exactly 2√6371.

Is 25484 divisible by 3?

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

What is special about the number 25484?

25484 is a Harshad number: divisible by its digit sum 23.

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    25484: is it prime? Factors, square root, binary, Roman numeral | WordGPT