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The number 40473

40473 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1499. Divisors (8): 1, 3, 9, 27, 1499, 4497, 13491, 40473.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    40473 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

    40473 is composite. Its prime factorisation is

    40473=33×149940473 = 3^{3} \times 1499
  3. 3

    The divisors add up to 60000; without 40473 itself that is 19527, so 40473 is deficient (19527 is less than 40473). Euler's totient φ(40473) = 26964 numbers up to 40473 share no factor with it.

  4. 4

    The digits of 40473 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40473 = 3^{3} \times 1499 \]

40473 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors60000
Euler totient φ(n)26964
Square1638063729
Cube66297353303817
Square root201.179025 (= 3√4497)
Digit sum / digital root18 / 9
Collatz steps to 1181
Scientific notation4.0473 × 10410^{4}

40473 in other forms

FormValue
In wordsforty thousand four hundred and seventy-three
Binary (base 2)1001111000011001
Octal (base 8)117031
Hexadecimal (base 16)9E19
Base 32001112000
As time40473 seconds = 11 h 14 min 33 s

Is 40473 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 (40473 ÷ 3 = 13491)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 6)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 (40473 ÷ 9 = 4497)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 4)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 40473 a prime number?

No. 40473 = 333^{3} × 1499, so it is divisible by 3.

What are the factors of 40473?

1, 3, 9, 27, 1499, 4497, 13491, 40473.

What is 40473 in binary?

1001111000011001 (hexadecimal 9E19, octal 117031).

What is the square root of 40473?

About 201.1790, exactly 3√4497.

Is 40473 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 40473?

It is a composite number with 8 divisors.

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    40473: is it prime? Factors, square root, binary, Roman numeral | WordGPT