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The number 68225

68225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2729. Divisors (6): 1, 5, 25, 2729, 13645, 68225.

Number

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How to work it out

  1. 1

    What is special about 68225: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    68225 is composite. Its prime factorisation is

    68225=52Ɨ272968225 = 5^{2} \times 2729
  3. 3

    The divisors add up to 84630; without 68225 itself that is 16405, so 68225 is deficient (16405 is less than 68225). Euler's totient φ(68225) = 54560 numbers up to 68225 share no factor with it.

  4. 4

    The digits of 68225 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68225 = 5^{2} \times 2729 \]

68225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84630
Euler totient φ(n)54560
Square4654650625
Cube317563538890625
Square root261.199158 (= 5√2729)
Digit sum / digital root23 / 5
Collatz steps to 1205
Scientific notation6.8225 Ɨ 10410^{4}

68225 in other forms

FormValue
In wordssixty-eight thousand two hundred and twenty-five
Binary (base 2)10000101010000001
Octal (base 8)205201
Hexadecimal (base 16)10A81
Base 310110120212
As time68225 seconds = 18 h 57 min 5 s

Is 68225 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 (68225 Ć· 5 = 13645)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 3)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 3)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 68225 a prime number?

No. 68225 = 525^{2} Ɨ 2729, so it is divisible by 5.

What are the factors of 68225?

1, 5, 25, 2729, 13645, 68225.

What is 68225 in binary?

10000101010000001 (hexadecimal 10A81, octal 205201).

What is the square root of 68225?

About 261.1992, exactly 5√2729.

Is 68225 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 68225?

68225 is a happy number: repeatedly adding the squares of its digits reaches 1.

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