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The number 67825

67825 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2713. Divisors (6): 1, 5, 25, 2713, 13565, 67825.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    67825 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

    67825 is composite. Its prime factorisation is

    67825=52Ɨ271367825 = 5^{2} \times 2713
  3. 3

    The divisors add up to 84134; without 67825 itself that is 16309, so 67825 is deficient (16309 is less than 67825). Euler's totient φ(67825) = 54240 numbers up to 67825 share no factor with it.

  4. 4

    The digits of 67825 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67825 = 5^{2} \times 2713 \]

67825 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84134
Euler totient φ(n)54240
Square4600230625
Cube312010642140625
Square root260.432333 (= 5√2713)
Digit sum / digital root28 / 1
Collatz steps to 186
Scientific notation6.7825 Ɨ 10410^{4}

67825 in other forms

FormValue
In wordssixty-seven thousand eight hundred and twenty-five
Binary (base 2)10000100011110001
Octal (base 8)204361
Hexadecimal (base 16)108F1
Base 310110001001
As time67825 seconds = 18 h 50 min 25 s

Is 67825 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 (67825 Ć· 5 = 13565)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 2)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 1)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 10)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 67825 a prime number?

No. 67825 = 525^{2} Ɨ 2713, so it is divisible by 5.

What are the factors of 67825?

1, 5, 25, 2713, 13565, 67825.

What is 67825 in binary?

10000100011110001 (hexadecimal 108F1, octal 204361).

What is the square root of 67825?

About 260.4323, exactly 5√2713.

Is 67825 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 67825?

It is a composite number with 6 divisors.

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    67825: is it prime? Factors, square root, binary, Roman numeral | WordGPT