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The number 74439

74439 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 919. Divisors (10): 1, 3, 9, 27, 81, 919, 2757, 8271, 24813, 74439.

Number

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How to work it out

  1. 1

    What is special about 74439: a Harshad number: divisible by its digit sum 27.

  2. 2

    74439 is composite. Its prime factorisation is

    74439=34×91974439 = 3^{4} \times 919
  3. 3

    The divisors add up to 111320; without 74439 itself that is 36881, so 74439 is deficient (36881 is less than 74439). Euler's totient φ(74439) = 49572 numbers up to 74439 share no factor with it.

  4. 4

    The digits of 74439 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74439 = 3^{4} \times 919 \]

74439 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors111320
Euler totient φ(n)49572
Square5541164721
Cube412478760666519
Square root272.835115 (= 9√919)
Digit sum / digital root27 / 9
Collatz steps to 194
Scientific notation7.4439 × 10410^{4}

74439 in other forms

FormValue
In wordsseventy-four thousand four hundred and thirty-nine
Binary (base 2)10010001011000111
Octal (base 8)221307
Hexadecimal (base 16)122C7
Base 310210010000
As time74439 seconds = 20 h 40 min 39 s

Is 74439 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).
3Yes (74439 ÷ 3 = 24813)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.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (74439 ÷ 9 = 8271)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74439 a prime number?

No. 74439 = 343^{4} × 919, so it is divisible by 3.

What are the factors of 74439?

1, 3, 9, 27, 81, 919, 2757, 8271, 24813, 74439.

What is 74439 in binary?

10010001011000111 (hexadecimal 122C7, octal 221307).

What is the square root of 74439?

About 272.8351, exactly 9√919.

Is 74439 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 74439?

74439 is a Harshad number: divisible by its digit sum 27.

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    74439: is it prime? Factors, square root, binary, Roman numeral | WordGPT