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The number 74075

74075 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2963. Divisors (6): 1, 5, 25, 2963, 14815, 74075.

Number

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How to work it out

  1. 1

    What is special about 74075: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74075 is composite. Its prime factorisation is

    74075=52Ɨ296374075 = 5^{2} \times 2963
  3. 3

    The divisors add up to 91884; without 74075 itself that is 17809, so 74075 is deficient (17809 is less than 74075). Euler's totient φ(74075) = 59240 numbers up to 74075 share no factor with it.

  4. 4

    The digits of 74075 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74075 = 5^{2} \times 2963 \]

74075 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors91884
Euler totient φ(n)59240
Square5487105625
Cube406457349171875
Square root272.167228 (= 5√2963)
Digit sum / digital root23 / 5
Collatz steps to 1112
Scientific notation7.4075 Ɨ 10410^{4}

74075 in other forms

FormValue
In wordsseventy-four thousand and seventy-five
Binary (base 2)10010000101011011
Octal (base 8)220533
Hexadecimal (base 16)1215B
Base 310202121112
As time74075 seconds = 20 h 34 min 35 s

Is 74075 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 2)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 (74075 Ć· 5 = 14815)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 5)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74075 a prime number?

No. 74075 = 525^{2} Ɨ 2963, so it is divisible by 5.

What are the factors of 74075?

1, 5, 25, 2963, 14815, 74075.

What is 74075 in binary?

10010000101011011 (hexadecimal 1215B, octal 220533).

What is the square root of 74075?

About 272.1672, exactly 5√2963.

Is 74075 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 74075?

74075 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74075: is it prime? Factors, square root, binary, Roman numeral | WordGPT