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The number 70225

70225 is a perfect square (265²). Its prime factorisation is 525^{2} × 53253^{2}. Divisors (9): 1, 5, 25, 53, 265, 1325, 2809, 14045, 70225.

Number

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How to work it out

  1. 1

    What is special about 70225: a perfect square (265²); a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    70225 is composite. Its prime factorisation is

    70225=52×53270225 = 5^{2} \times 53^{2}
  3. 3

    The divisors add up to 88753; without 70225 itself that is 18528, so 70225 is deficient (18528 is less than 70225). Euler's totient φ(70225) = 55120 numbers up to 70225 share no factor with it.

  4. 4

    The digits of 70225 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70225 = 5^{2} \times 53^{2} \]

70225 at a glance

PropertyValue
Typecomposite
Number of divisors9
Sum of divisors88753
Euler totient φ(n)55120
Square4931550625
Cube346318142640625
Square root265
Digit sum / digital root16 / 7
Collatz steps to 1174
Scientific notation7.0225 × 10410^{4}
Perfect power2652265^{2}

70225 in other forms

FormValue
In wordsseventy thousand two hundred and twenty-five
Binary (base 2)10001001001010001
Octal (base 8)211121
Hexadecimal (base 16)11251
Base 310120022221
As time70225 seconds = 19 h 30 min 25 s

Is 70225 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 1)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 (70225 ÷ 5 = 14045)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 7)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70225 a prime number?

No. 70225 = 525^{2} × 53253^{2}, so it is divisible by 5.

What are the factors of 70225?

1, 5, 25, 53, 265, 1325, 2809, 14045, 70225.

What is 70225 in binary?

10001001001010001 (hexadecimal 11251, octal 211121).

What is the square root of 70225?

265, because 265 × 265 = 70225.

Is 70225 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 70225?

70225 is a perfect square (265²); a happy number: repeatedly adding the squares of its digits reaches 1.

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    70225: is it prime? Factors, square root, binary, Roman numeral | WordGPT