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The number 32225

32225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1289. Divisors (6): 1, 5, 25, 1289, 6445, 32225.

Number

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How to work it out

  1. 1

    32225 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

    32225 is composite. Its prime factorisation is

    32225=52Ɨ128932225 = 5^{2} \times 1289
  3. 3

    The divisors add up to 39990; without 32225 itself that is 7765, so 32225 is deficient (7765 is less than 32225). Euler's totient φ(32225) = 25760 numbers up to 32225 share no factor with it.

  4. 4

    The digits of 32225 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32225 = 5^{2} \times 1289 \]

32225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors39990
Euler totient φ(n)25760
Square1038450625
Cube33464071390625
Square root179.513231 (= 5√1289)
Digit sum / digital root14 / 5
Collatz steps to 198
Scientific notation3.2225 Ɨ 10410^{4}

32225 in other forms

FormValue
In wordsthirty-two thousand two hundred and twenty-five
Binary (base 2)111110111100001
Octal (base 8)76741
Hexadecimal (base 16)7DE1
Base 31122012112
As time32225 seconds = 8 h 57 min 5 s

Is 32225 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).
3No (remainder 2)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.
5Yes (32225 Ć· 5 = 6445)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 32225 a prime number?

No. 32225 = 525^{2} Ɨ 1289, so it is divisible by 5.

What are the factors of 32225?

1, 5, 25, 1289, 6445, 32225.

What is 32225 in binary?

111110111100001 (hexadecimal 7DE1, octal 76741).

What is the square root of 32225?

About 179.5132, exactly 5√1289.

Is 32225 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 32225?

It is a composite number with 6 divisors.

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    32225: is it prime? Factors, square root, binary, Roman numeral | WordGPT