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The number 68425

68425 is a composite number with 24 divisors. Its prime factorisation is 525^{2} × 7 × 17 × 23. Divisors (24): 1, 5, 7, 17, 23, 25, 35, 85, 115, 119, 161, 175, 391, 425, 575, 595 … 68425.

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How to work it out

  1. 1

    What is special about 68425: a Harshad number: divisible by its digit sum 25.

  2. 2

    68425 is composite. Its prime factorisation is

    68425=52×7×17×2368425 = 5^{2} \times 7 \times 17 \times 23
  3. 3

    The divisors add up to 107136; without 68425 itself that is 38711, so 68425 is deficient (38711 is less than 68425). Euler's totient φ(68425) = 42240 numbers up to 68425 share no factor with it.

  4. 4

    The digits of 68425 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68425 = 5^{2} \times 7 \times 17 \times 23 \]

68425 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors107136
Euler totient φ(n)42240
Square4681980625
Cube320364524265625
Square root261.581727 (= 5√2737)
Digit sum / digital root25 / 7
Collatz steps to 181
Scientific notation6.8425 × 10410^{4}

68425 in other forms

FormValue
In wordssixty-eight thousand four hundred and twenty-five
Binary (base 2)10000101101001001
Octal (base 8)205511
Hexadecimal (base 16)10B49
Base 310110212021
As time68425 seconds = 19 h 0 min 25 s

Is 68425 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 (68425 ÷ 5 = 13685)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.
7Yes (68425 ÷ 7 = 9775)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 5)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 68425 a prime number?

No. 68425 = 525^{2} × 7 × 17 × 23, so it is divisible by 5.

What are the factors of 68425?

1, 5, 7, 17, 23, 25, 35, 85, 115, 119, 161, 175, 391, 425, 575, 595, 805, 1955, 2737, 2975, 4025, 9775, 13685, 68425.

What is 68425 in binary?

10000101101001001 (hexadecimal 10B49, octal 205511).

What is the square root of 68425?

About 261.5817, exactly 5√2737.

Is 68425 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 68425?

68425 is a Harshad number: divisible by its digit sum 25.

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    68425: is it prime? Factors, square root, binary, Roman numeral | WordGPT