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The number 25552

25552 is a palindrome: it reads 25552 backwards too. Its prime factorisation is 242^{4} × 1597. Divisors (10): 1, 2, 4, 8, 16, 1597, 3194, 6388, 12776, 25552.

Number

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How to work it out

  1. 1

    What is special about 25552: a palindrome: it reads 25552 backwards too.

  2. 2

    25552 is composite. Its prime factorisation is

    25552=24×159725552 = 2^{4} \times 1597
  3. 3

    The divisors add up to 49538; without 25552 itself that is 23986, so 25552 is deficient (23986 is less than 25552). Euler's totient φ(25552) = 12768 numbers up to 25552 share no factor with it.

  4. 4

    The digits of 25552 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25552 = 2^{4} \times 1597 \]

25552 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors49538
Euler totient φ(n)12768
Square652904704
Cube16683020996608
Square root159.849930 (= 4√1597)
Digit sum / digital root19 / 1
Collatz steps to 1126
Scientific notation2.5552 × 10410^{4}

25552 in other forms

FormValue
In wordstwenty-five thousand five hundred and fifty-two
Binary (base 2)110001111010000
Octal (base 8)61720
Hexadecimal (base 16)63D0
Base 31022001101
As time25552 seconds = 7 h 5 min 52 s

Is 25552 divisible by 2 to 12?

DivisorAnswerRule
2Yes (25552 ÷ 2 = 12776)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 (25552 ÷ 4 = 6388)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (25552 ÷ 8 = 3194)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 2)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25552 a prime number?

No. 25552 = 242^{4} × 1597, so it is divisible by 2.

What are the factors of 25552?

1, 2, 4, 8, 16, 1597, 3194, 6388, 12776, 25552.

What is 25552 in binary?

110001111010000 (hexadecimal 63D0, octal 61720).

What is the square root of 25552?

About 159.8499, exactly 4√1597.

Is 25552 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 25552?

25552 is a palindrome: it reads 25552 backwards too.

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    25552: is it prime? Factors, square root, binary, Roman numeral | WordGPT