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The number 43491

43491 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 109. Divisors (16): 1, 3, 7, 19, 21, 57, 109, 133, 327, 399, 763, 2071, 2289, 6213, 14497, 43491.

Number

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How to work it out

  1. 1

    What is special about 43491: a Harshad number: divisible by its digit sum 21.

  2. 2

    43491 is composite. Its prime factorisation is

    43491=3×7×19×10943491 = 3 \times 7 \times 19 \times 109
  3. 3

    The divisors add up to 70400; without 43491 itself that is 26909, so 43491 is deficient (26909 is less than 43491). Euler's totient φ(43491) = 23328 numbers up to 43491 share no factor with it.

  4. 4

    The digits of 43491 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43491 = 3 \times 7 \times 19 \times 109 \]

43491 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors70400
Euler totient φ(n)23328
Square1891467081
Cube82261794819771
Square root208.544959
Digit sum / digital root21 / 3
Collatz steps to 170
Scientific notation4.3491 × 10410^{4}

43491 in other forms

FormValue
In wordsforty-three thousand four hundred and ninety-one
Binary (base 2)1010100111100011
Octal (base 8)124743
Hexadecimal (base 16)A9E3
Base 32012122210
As time43491 seconds = 12 h 4 min 51 s

Is 43491 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 (43491 ÷ 3 = 14497)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 1)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.
7Yes (43491 ÷ 7 = 6213)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 43491 a prime number?

No. 43491 = 3 × 7 × 19 × 109, so it is divisible by 3.

What are the factors of 43491?

1, 3, 7, 19, 21, 57, 109, 133, 327, 399, 763, 2071, 2289, 6213, 14497, 43491.

What is 43491 in binary?

1010100111100011 (hexadecimal A9E3, octal 124743).

What is the square root of 43491?

About 208.5450.

Is 43491 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 43491?

43491 is a Harshad number: divisible by its digit sum 21.

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    43491: is it prime? Factors, square root, binary, Roman numeral | WordGPT