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The number 74275

74275 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2971. Divisors (6): 1, 5, 25, 2971, 14855, 74275.

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How to work it out

  1. 1

    What is special about 74275: a Harshad number: divisible by its digit sum 25.

  2. 2

    74275 is composite. Its prime factorisation is

    74275=52Ɨ297174275 = 5^{2} \times 2971
  3. 3

    The divisors add up to 92132; without 74275 itself that is 17857, so 74275 is deficient (17857 is less than 74275). Euler's totient φ(74275) = 59400 numbers up to 74275 share no factor with it.

  4. 4

    The digits of 74275 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 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74275 = 5^{2} \times 2971 \]

74275 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors92132
Euler totient φ(n)59400
Square5516775625
Cube409758509546875
Square root272.534401 (= 5√2971)
Digit sum / digital root25 / 7
Collatz steps to 163
Scientific notation7.4275 Ɨ 10410^{4}

74275 in other forms

FormValue
In wordsseventy-four thousand two hundred and seventy-five
Binary (base 2)10010001000100011
Octal (base 8)221043
Hexadecimal (base 16)12223
Base 310202212221
As time74275 seconds = 20 h 37 min 55 s

Is 74275 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 (74275 Ć· 5 = 14855)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 5)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 3)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 74275 a prime number?

No. 74275 = 525^{2} Ɨ 2971, so it is divisible by 5.

What are the factors of 74275?

1, 5, 25, 2971, 14855, 74275.

What is 74275 in binary?

10010001000100011 (hexadecimal 12223, octal 221043).

What is the square root of 74275?

About 272.5344, exactly 5√2971.

Is 74275 divisible by 3?

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

What is special about the number 74275?

74275 is a Harshad number: divisible by its digit sum 25.

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    74275: is it prime? Factors, square root, binary, Roman numeral | WordGPT