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The number 74673

74673 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 8297. Divisors (6): 1, 3, 9, 8297, 24891, 74673.

Number

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How to work it out

  1. 1

    74673 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

    74673 is composite. Its prime factorisation is

    74673=32×829774673 = 3^{2} \times 8297
  3. 3

    The divisors add up to 107874; without 74673 itself that is 33201, so 74673 is deficient (33201 is less than 74673). Euler's totient φ(74673) = 49776 numbers up to 74673 share no factor with it.

  4. 4

    The digits of 74673 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 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74673 = 3^{2} \times 8297 \]

74673 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors107874
Euler totient φ(n)49776
Square5576056929
Cube416380899059217
Square root273.263609 (= 3√8297)
Digit sum / digital root27 / 9
Collatz steps to 137
Scientific notation7.4673 × 10410^{4}

74673 in other forms

FormValue
In wordsseventy-four thousand six hundred and seventy-three
Binary (base 2)10010001110110001
Octal (base 8)221661
Hexadecimal (base 16)123B1
Base 310210102200
As time74673 seconds = 20 h 44 min 33 s

Is 74673 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 (74673 ÷ 3 = 24891)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (74673 ÷ 9 = 8297)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74673 a prime number?

No. 74673 = 323^{2} × 8297, so it is divisible by 3.

What are the factors of 74673?

1, 3, 9, 8297, 24891, 74673.

What is 74673 in binary?

10010001110110001 (hexadecimal 123B1, octal 221661).

What is the square root of 74673?

About 273.2636, exactly 3√8297.

Is 74673 divisible by 3?

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

What is special about the number 74673?

It is a composite number with 6 divisors.

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    74673: is it prime? Factors, square root, binary, Roman numeral | WordGPT