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The number 65225

65225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2609. Divisors (6): 1, 5, 25, 2609, 13045, 65225.

Number

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How to work it out

  1. 1

    What is special about 65225: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    65225 is composite. Its prime factorisation is

    65225=52Ɨ260965225 = 5^{2} \times 2609
  3. 3

    The divisors add up to 80910; without 65225 itself that is 15685, so 65225 is deficient (15685 is less than 65225). Euler's totient φ(65225) = 52160 numbers up to 65225 share no factor with it.

  4. 4

    The digits of 65225 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 65225 = 5^{2} \times 2609 \]

65225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors80910
Euler totient φ(n)52160
Square4254300625
Cube277486758265625
Square root255.391856 (= 5√2609)
Digit sum / digital root20 / 2
Collatz steps to 1161
Scientific notation6.5225 Ɨ 10410^{4}

65225 in other forms

FormValue
In wordssixty-five thousand two hundred and twenty-five
Binary (base 2)1111111011001001
Octal (base 8)177311
Hexadecimal (base 16)FEC9
Base 310022110202
As time65225 seconds = 18 h 7 min 5 s

Is 65225 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 (65225 Ć· 5 = 13045)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 6)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 2)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 65225 a prime number?

No. 65225 = 525^{2} Ɨ 2609, so it is divisible by 5.

What are the factors of 65225?

1, 5, 25, 2609, 13045, 65225.

What is 65225 in binary?

1111111011001001 (hexadecimal FEC9, octal 177311).

What is the square root of 65225?

About 255.3919, exactly 5√2609.

Is 65225 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 65225?

65225 is a happy number: repeatedly adding the squares of its digits reaches 1.

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