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The number 25532

25532 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 491. Divisors (12): 1, 2, 4, 13, 26, 52, 491, 982, 1964, 6383, 12766, 25532.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    25532 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

    25532 is composite. Its prime factorisation is

    25532=22×13×49125532 = 2^{2} \times 13 \times 491
  3. 3

    The divisors add up to 48216; without 25532 itself that is 22684, so 25532 is deficient (22684 is less than 25532). Euler's totient φ(25532) = 11760 numbers up to 25532 share no factor with it.

  4. 4

    The digits of 25532 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 201 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25532 = 2^{2} \times 13 \times 491 \]

25532 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors48216
Euler totient φ(n)11760
Square651883024
Cube16643877368768
Square root159.787359 (= 2√6383)
Digit sum / digital root17 / 8
Collatz steps to 1201
Scientific notation2.5532 × 10410^{4}

25532 in other forms

FormValue
In wordstwenty-five thousand five hundred and thirty-two
Binary (base 2)110001110111100
Octal (base 8)61674
Hexadecimal (base 16)63BC
Base 31022000122
As time25532 seconds = 7 h 5 min 32 s

Is 25532 divisible by 2 to 12?

DivisorAnswerRule
2Yes (25532 ÷ 2 = 12766)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 (25532 ÷ 4 = 6383)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 3)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25532 a prime number?

No. 25532 = 222^{2} × 13 × 491, so it is divisible by 2.

What are the factors of 25532?

1, 2, 4, 13, 26, 52, 491, 982, 1964, 6383, 12766, 25532.

What is 25532 in binary?

110001110111100 (hexadecimal 63BC, octal 61674).

What is the square root of 25532?

About 159.7874, exactly 2√6383.

Is 25532 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 25532?

It is a composite number with 12 divisors.

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    25532: is it prime? Factors, square root, binary, Roman numeral | WordGPT