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The number 74428

74428 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 23 × 809. Divisors (12): 1, 2, 4, 23, 46, 92, 809, 1618, 3236, 18607, 37214, 74428.

Number

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How to work it out

  1. 1

    74428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    74428 is composite. Its prime factorisation is

    74428=22×23×80974428 = 2^{2} \times 23 \times 809
  3. 3

    The divisors add up to 136080; without 74428 itself that is 61652, so 74428 is deficient (61652 is less than 74428). Euler's totient φ(74428) = 35552 numbers up to 74428 share no factor with it.

  4. 4

    The digits of 74428 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74428 = 2^{2} \times 23 \times 809 \]

74428 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors136080
Euler totient φ(n)35552
Square5539527184
Cube412295929250752
Square root272.814956 (= 2√18607)
Digit sum / digital root25 / 7
Collatz steps to 1138
Scientific notation7.4428 × 10410^{4}

74428 in other forms

FormValue
In wordsseventy-four thousand four hundred and twenty-eight
Binary (base 2)10010001010111100
Octal (base 8)221274
Hexadecimal (base 16)122BC
Base 310210002121
As time74428 seconds = 20 h 40 min 28 s

Is 74428 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74428 ÷ 2 = 37214)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.
4Yes (74428 ÷ 4 = 18607)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74428 a prime number?

No. 74428 = 222^{2} × 23 × 809, so it is divisible by 2.

What are the factors of 74428?

1, 2, 4, 23, 46, 92, 809, 1618, 3236, 18607, 37214, 74428.

What is 74428 in binary?

10010001010111100 (hexadecimal 122BC, octal 221274).

What is the square root of 74428?

About 272.8150, exactly 2√18607.

Is 74428 divisible by 3?

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

What is special about the number 74428?

It is a composite number with 12 divisors.

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    74428: is it prime? Factors, square root, binary, Roman numeral | WordGPT