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The number 80225

80225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 3209. Divisors (6): 1, 5, 25, 3209, 16045, 80225.

Number

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How to work it out

  1. 1

    What is special about 80225: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    80225 is composite. Its prime factorisation is

    80225=52Ɨ320980225 = 5^{2} \times 3209
  3. 3

    The divisors add up to 99510; without 80225 itself that is 19285, so 80225 is deficient (19285 is less than 80225). Euler's totient φ(80225) = 64160 numbers up to 80225 share no factor with it.

  4. 4

    The digits of 80225 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 319 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80225 = 5^{2} \times 3209 \]

80225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors99510
Euler totient φ(n)64160
Square6436050625
Cube516332161390625
Square root283.240181 (= 5√3209)
Digit sum / digital root17 / 8
Collatz steps to 1319
Scientific notation8.0225 Ɨ 10410^{4}

80225 in other forms

FormValue
In wordseighty thousand two hundred and twenty-five
Binary (base 2)10011100101100001
Octal (base 8)234541
Hexadecimal (base 16)13961
Base 311002001022
As time80225 seconds = 22 h 17 min 5 s

Is 80225 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 (80225 Ć· 5 = 16045)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 5)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 8)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 2)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 80225 a prime number?

No. 80225 = 525^{2} Ɨ 3209, so it is divisible by 5.

What are the factors of 80225?

1, 5, 25, 3209, 16045, 80225.

What is 80225 in binary?

10011100101100001 (hexadecimal 13961, octal 234541).

What is the square root of 80225?

About 283.2402, exactly 5√3209.

Is 80225 divisible by 3?

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

What is special about the number 80225?

80225 is a happy number: repeatedly adding the squares of its digits reaches 1.

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