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The number 40309

40309 is a composite number with 4 divisors. Its prime factorisation is 173 × 233. Divisors (4): 1, 173, 233, 40309.

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How to work it out

  1. 1

    What is special about 40309: a semiprime: 173 × 233, the product of two primes.

  2. 2

    40309 is composite. Its prime factorisation is

    40309=173×23340309 = 173 \times 233
  3. 3

    The divisors add up to 40716; without 40309 itself that is 407, so 40309 is deficient (407 is less than 40309). Euler's totient φ(40309) = 39904 numbers up to 40309 share no factor with it.

  4. 4

    The digits of 40309 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40309 = 173 \times 233 \]

40309 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40716
Euler totient φ(n)39904
Square1624815481
Cube65494687223629
Square root200.771014
Digit sum / digital root16 / 7
Collatz steps to 188
Scientific notation4.0309 × 10410^{4}

40309 in other forms

FormValue
In wordsforty thousand three hundred and nine
Binary (base 2)1001110101110101
Octal (base 8)116565
Hexadecimal (base 16)9D75
Base 32001021221
As time40309 seconds = 11 h 11 min 49 s

Is 40309 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).
3No (remainder 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40309 a prime number?

No. 40309 = 173 × 233, so it is divisible by 173.

What are the factors of 40309?

1, 173, 233, 40309.

What is 40309 in binary?

1001110101110101 (hexadecimal 9D75, octal 116565).

What is the square root of 40309?

About 200.7710.

Is 40309 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 40309?

40309 is a semiprime: 173 × 233, the product of two primes.

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    40309: is it prime? Factors, square root, binary, Roman numeral | WordGPT