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The number 67225

67225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2689. Divisors (6): 1, 5, 25, 2689, 13445, 67225.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    67225 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

    67225 is composite. Its prime factorisation is

    67225=52Ɨ268967225 = 5^{2} \times 2689
  3. 3

    The divisors add up to 83390; without 67225 itself that is 16165, so 67225 is deficient (16165 is less than 67225). Euler's totient φ(67225) = 53760 numbers up to 67225 share no factor with it.

  4. 4

    The digits of 67225 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67225 = 5^{2} \times 2689 \]

67225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors83390
Euler totient φ(n)53760
Square4519200625
Cube303803262015625
Square root259.277843 (= 5√2689)
Digit sum / digital root22 / 4
Collatz steps to 168
Scientific notation6.7225 Ɨ 10410^{4}

67225 in other forms

FormValue
In wordssixty-seven thousand two hundred and twenty-five
Binary (base 2)10000011010011001
Octal (base 8)203231
Hexadecimal (base 16)10699
Base 310102012211
As time67225 seconds = 18 h 40 min 25 s

Is 67225 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 (67225 Ć· 5 = 13445)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 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 4)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 4)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 67225 a prime number?

No. 67225 = 525^{2} Ɨ 2689, so it is divisible by 5.

What are the factors of 67225?

1, 5, 25, 2689, 13445, 67225.

What is 67225 in binary?

10000011010011001 (hexadecimal 10699, octal 203231).

What is the square root of 67225?

About 259.2778, exactly 5√2689.

Is 67225 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 67225?

It is a composite number with 6 divisors.

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    67225: is it prime? Factors, square root, binary, Roman numeral | WordGPT