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The number 67075

67075 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2683. Divisors (6): 1, 5, 25, 2683, 13415, 67075.

Number

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How to work it out

  1. 1

    What is special about 67075: a Harshad number: divisible by its digit sum 25.

  2. 2

    67075 is composite. Its prime factorisation is

    67075=52Ɨ268367075 = 5^{2} \times 2683
  3. 3

    The divisors add up to 83204; without 67075 itself that is 16129, so 67075 is deficient (16129 is less than 67075). Euler's totient φ(67075) = 53640 numbers up to 67075 share no factor with it.

  4. 4

    The digits of 67075 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 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67075 = 5^{2} \times 2683 \]

67075 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors83204
Euler totient φ(n)53640
Square4499055625
Cube301774156046875
Square root258.988417 (= 5√2683)
Digit sum / digital root25 / 7
Collatz steps to 142
Scientific notation6.7075 Ɨ 10410^{4}

67075 in other forms

FormValue
In wordssixty-seven thousand and seventy-five
Binary (base 2)10000011000000011
Octal (base 8)203003
Hexadecimal (base 16)10603
Base 310102000021
As time67075 seconds = 18 h 37 min 55 s

Is 67075 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (67075 Ć· 5 = 13415)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 3)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67075 a prime number?

No. 67075 = 525^{2} Ɨ 2683, so it is divisible by 5.

What are the factors of 67075?

1, 5, 25, 2683, 13415, 67075.

What is 67075 in binary?

10000011000000011 (hexadecimal 10603, octal 203003).

What is the square root of 67075?

About 258.9884, exactly 5√2683.

Is 67075 divisible by 3?

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

What is special about the number 67075?

67075 is a Harshad number: divisible by its digit sum 25.

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    67075: is it prime? Factors, square root, binary, Roman numeral | WordGPT