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The number 43009

43009 is a composite number with 4 divisors. Its prime factorisation is 41 × 1049. Divisors (4): 1, 41, 1049, 43009.

Number

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How to work it out

  1. 1

    What is special about 43009: a semiprime: 41 × 1049, the product of two primes.

  2. 2

    43009 is composite. Its prime factorisation is

    43009=41×104943009 = 41 \times 1049
  3. 3

    The divisors add up to 44100; without 43009 itself that is 1091, so 43009 is deficient (1091 is less than 43009). Euler's totient φ(43009) = 41920 numbers up to 43009 share no factor with it.

  4. 4

    The digits of 43009 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43009 = 41 \times 1049 \]

43009 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors44100
Euler totient φ(n)41920
Square1849774081
Cube79556933449729
Square root207.386113
Digit sum / digital root16 / 7
Collatz steps to 1101
Scientific notation4.3009 × 10410^{4}

43009 in other forms

FormValue
In wordsforty-three thousand and nine
Binary (base 2)1010100000000001
Octal (base 8)124001
Hexadecimal (base 16)A801
Base 32011222221
As time43009 seconds = 11 h 56 min 49 s

Is 43009 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 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 1)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 10)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 43009 a prime number?

No. 43009 = 41 × 1049, so it is divisible by 41.

What are the factors of 43009?

1, 41, 1049, 43009.

What is 43009 in binary?

1010100000000001 (hexadecimal A801, octal 124001).

What is the square root of 43009?

About 207.3861.

Is 43009 divisible by 3?

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

What is special about the number 43009?

43009 is a semiprime: 41 × 1049, the product of two primes.

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