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The number 25588

25588 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 6397. Divisors (6): 1, 2, 4, 6397, 12794, 25588.

Number

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How to work it out

  1. 1

    25588 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

    25588 is composite. Its prime factorisation is

    25588=22×639725588 = 2^{2} \times 6397
  3. 3

    The divisors add up to 44786; without 25588 itself that is 19198, so 25588 is deficient (19198 is less than 25588). Euler's totient φ(25588) = 12792 numbers up to 25588 share no factor with it.

  4. 4

    The digits of 25588 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25588 = 2^{2} \times 6397 \]

25588 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors44786
Euler totient φ(n)12792
Square654745744
Cube16753634097472
Square root159.962496 (= 2√6397)
Digit sum / digital root28 / 1
Collatz steps to 177
Scientific notation2.5588 × 10410^{4}

25588 in other forms

FormValue
In wordstwenty-five thousand five hundred and eighty-eight
Binary (base 2)110001111110100
Octal (base 8)61764
Hexadecimal (base 16)63F4
Base 31022002201
As time25588 seconds = 7 h 6 min 28 s

Is 25588 divisible by 2 to 12?

DivisorAnswerRule
2Yes (25588 ÷ 2 = 12794)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (25588 ÷ 4 = 6397)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25588 a prime number?

No. 25588 = 222^{2} × 6397, so it is divisible by 2.

What are the factors of 25588?

1, 2, 4, 6397, 12794, 25588.

What is 25588 in binary?

110001111110100 (hexadecimal 63F4, octal 61764).

What is the square root of 25588?

About 159.9625, exactly 2√6397.

Is 25588 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 25588?

It is a composite number with 6 divisors.

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