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The number 74875

74875 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 599. Divisors (8): 1, 5, 25, 125, 599, 2995, 14975, 74875.

Number

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How to work it out

  1. 1

    What is special about 74875: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74875 is composite. Its prime factorisation is

    74875=53Ɨ59974875 = 5^{3} \times 599
  3. 3

    The divisors add up to 93600; without 74875 itself that is 18725, so 74875 is deficient (18725 is less than 74875). Euler's totient φ(74875) = 59800 numbers up to 74875 share no factor with it.

  4. 4

    The digits of 74875 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74875 = 5^{3} \times 599 \]

74875 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors93600
Euler totient φ(n)59800
Square5606265625
Cube419769138671875
Square root273.632966 (= 5√2995)
Digit sum / digital root31 / 4
Collatz steps to 186
Scientific notation7.4875 Ɨ 10410^{4}

74875 in other forms

FormValue
In wordsseventy-four thousand eight hundred and seventy-five
Binary (base 2)10010010001111011
Octal (base 8)222173
Hexadecimal (base 16)1247B
Base 310210201011
As time74875 seconds = 20 h 47 min 55 s

Is 74875 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 (74875 Ć· 5 = 14975)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 3)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 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 9)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 74875 a prime number?

No. 74875 = 535^{3} Ɨ 599, so it is divisible by 5.

What are the factors of 74875?

1, 5, 25, 125, 599, 2995, 14975, 74875.

What is 74875 in binary?

10010010001111011 (hexadecimal 1247B, octal 222173).

What is the square root of 74875?

About 273.6330, exactly 5√2995.

Is 74875 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 74875?

74875 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74875: is it prime? Factors, square root, binary, Roman numeral | WordGPT