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The number 74324

74324 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 17 × 1093. Divisors (12): 1, 2, 4, 17, 34, 68, 1093, 2186, 4372, 18581, 37162, 74324.

Number

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How to work it out

  1. 1

    What is special about 74324: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74324 is composite. Its prime factorisation is

    74324=22×17×109374324 = 2^{2} \times 17 \times 1093
  3. 3

    The divisors add up to 137844; without 74324 itself that is 63520, so 74324 is deficient (63520 is less than 74324). Euler's totient φ(74324) = 34944 numbers up to 74324 share no factor with it.

  4. 4

    The digits of 74324 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74324 = 2^{2} \times 17 \times 1093 \]

74324 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors137844
Euler totient φ(n)34944
Square5524056976
Cube410570010684224
Square root272.624284 (= 2√18581)
Digit sum / digital root20 / 2
Collatz steps to 1187
Scientific notation7.4324 × 10410^{4}

74324 in other forms

FormValue
In wordsseventy-four thousand three hundred and twenty-four
Binary (base 2)10010001001010100
Octal (base 8)221124
Hexadecimal (base 16)12254
Base 310202221202
As time74324 seconds = 20 h 38 min 44 s

Is 74324 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74324 ÷ 2 = 37162)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.
4Yes (74324 ÷ 4 = 18581)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74324 a prime number?

No. 74324 = 222^{2} × 17 × 1093, so it is divisible by 2.

What are the factors of 74324?

1, 2, 4, 17, 34, 68, 1093, 2186, 4372, 18581, 37162, 74324.

What is 74324 in binary?

10010001001010100 (hexadecimal 12254, octal 221124).

What is the square root of 74324?

About 272.6243, exactly 2√18581.

Is 74324 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 74324?

74324 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74324: is it prime? Factors, square root, binary, Roman numeral | WordGPT